Statistics Questions

Complete parts a through c below of variables were measured for all tornadoes in the United States in 2017 Ho H a Since 1950 the proportion of tornadoes that have been FO is 0 465 Test whether a different proportion of FO tornadoes occur in Texas than nationally Note Treat the tornadoes that struck in Texas as a simple random sampl all tornadoes that struck Texas since 1950 using a 0 05 level of significance The summarized data show that 82 o 168 tornadoes in Texas were FO during 2017 State the null and alternative hypotheses 0 of 1 Type integers or decimals Do not round Save

Two professors at a local college developed a new teaching curriculum designed to increase students grades in mat classes In a typical developmental math course 54 of the students complete the course with a letter grade of A B or C In the experimental course of the 16 students enrolled 12 completed the course with a letter grade of A B or C Is the experimental course effective at the x 0 05 level of significance Complete parts a through g www a State the appropriate null and alternative hypotheses Ho versus H Type integers or decimals De not round

Determine if the following statement is true or false When testing a hypothesis using the P value Approach if the P value is large reject the null hypothesis This statement is

Use the data values in the table below to calculate the correlation between the variables x and y X 23 2 y 8 72 10 48 14 34 17 2 4 5 6 17 76 7 18 52 8 20 68 9 21 64 10 27 5 Give your answer to three decimal places

Construct a Binomial probability distrubtion table using n 5 and p 0 23 Next record the mean and standard deviation of the distribution below Where necessary round all numbers to four decimal places P x l b 11 x

ed the EAI sampling problem the population mean is 71 300 and the population standard deviation is 5000 For n 30 there is a 0 4176 probability of obtaining a sample mean within 500 of the population mean Use z table a What is the probability that is within 500 of the population mean if a sample of size 60 is used to 4 decimals b Answer part a for a sample of size 120 to 4 decimals

1 Solve the triangle with the given angles and sides 6 points B 52 C 28 a 43c

You may need to use the appropriate appendix table or technology to answer this question The following information was obtained from matched samples taken from two populations The daily production rates for a sample of workers before and after a training program are shown be Assume the population of differences is normally distributed Worker 1 2 3 4 5 6 7 Before After 21 26 28 24 23 21 18 24 25 29 22 27 21 20 K Given that the null hypothesis to be tested is Ho Md 0 at a 0 05 and the test statistic is 1 04 O the alternative hypothesis should be revised the null hypothesis should be revised the null hypothesis should not be rejected the null hypothesis should be rejected

Periodically customers of a financial services company are asked to evaluate the company s financial consultants and services Higher ratings on the client satisfaction survey indicate better service with 7 the maximum service rating Independent samples of service ratings for two financial consultants are summarized here Consultant A has 10 years of experience whereas consultant B has 1 year of experience Use a 0 05 and test to see whether the consultant with more experience has the higher population mean service rating Consultant A n 16 X 6 84 S 0 64 Hoi Ky ky 0 H i Hy H250 o H i Hy t2 0 H i HyH2 0 o Hoi H H2 0 H i Hy Hy 0 o Hoi Hi H250 Ha Hy Hy 0 H i thi H250 H i H H2 0 Consultant B a State the null and alternative hypotheses n 10 x2 6 28 d What is your conclusion 2 0 75 b Compute the value of the test statistic Round your answer to three decimal places 1 651 X c What is the p value Round your answer to four decimal places p value 0 0655 X

The time required to assemble a part of a machine follows an exponential probability distribution with a mean of 16 minutes Round your answers to four decimal places a What is the probability that the part can be assembled in 9 minutes or less b What is the probability that the part can be assembled between 4 5 and 9 minutes Need Help Read It

The accompanying table gives amounts of arsenic in samples of brown rice from three different states The amounts are in micrograms of arsenic and all samples have the same serving size The data are from the Food and Drug Administration Use a 0 05 significance level to test the claim that the three samples are from populations with the same mean Do the amounts of arsenic appear to be different in the different states Given that the amounts of arsenic in the samples from Texas have the highest mean can we conclude that brown rice from Texas poses the greatest health problem Click the icon to view the data OB Ho At least one of the means is different from the others H H H H3 OC Ho H1 H H3 H H H 3 D Ho H1 H2 H3 H At least one of the means is different from the others Determine the test statistic The test statistic is 23 23 Round to two decimal places as needed Determine the P value The P value is 0 000 Round to three decimal places as needed Do the amounts of arsenic appear to be different in the different states There is sufficient evidence at a 0 05 significance level to warrant rejection of the claim that the three different states have the same mean arsenic content s in brown rice Given that the amounts of arsenic in the samples from Texas have the highest tean can we conclude that brown rice from Texas poses the greatest health problem O A Because the amounts of arsenic in the samples from Texas have the highest mean we can conclude that brown rice from Texas poses the greatest health problem OB The results from ANOVA do not allow us to conclude that any one specific population mean is different from the others so we cannot conclude that brown rice from Texas poses the greatest health problem OC The results from ANOVA allow us to conclude that Texas has the highest population mean so we can conclude that brown rice from Texas poses the greatest health problem OD Although the amounts of arsenic in the samples from Texas have the highest mean there may be other states that have a higher mean so we cannot conclude that brown rice from Texas poses

b Compute the probability that exactly one of the appeals will be successful Letting x be the number of successful appeals the probability that exactly one of the appeals is successful means that the probability that x In addition to the binomial formula a table can be used to find the probability An excerpt is given below n 10 P 30 X 10 0 15 20 25 1969 1074 0563 3474 2684 1877 50 0010 3487 35 0282 0135 1211 0725 1 3874 40 45 0060 0025 0403 0207 1209 0763 2150 1665 2 1937 3 0574 4 0112 5 0098 2759 3020 2816 2335 1757 0439 1298 2013 2503 2668 2522 1172 0401 0881 1460 2001 2377 2508 2384 2051 0015 0085 0264 0584 1029 1536 2007 2340 2461 0012 0055 0162 0368 0689 1115 1596 0000 0001 0008 0031 0090 0212 0425 0746 0000 0000 0001 0004 0014 0043 0106 0229 0000 0000 0000 0000 0001 0005 0016 0042 10 0000 0000 0000 0000 0000 0000 0001 6 0001 2051 7 1172 8 0439 9 0098 0003 0010 The values in the table represent the probability of x successes for a sample of size n with a probability of success p For this scenario we have n 10 and probability of success p 0 35 To find the necessary probability trace along the row for the number of x successes until reaching the column for p 0 35 1 is to be found Find this probability in the table rounding the result to four decimal places

The accompanying table gives amounts of arsenic in samples of brown rice from three different states The amounts are in micrograms of arsenic and all samples have the same serving size The data are from the Food and Drug Administration Use a 0 05 significance level to test the claim that the three samples are from populations with the same mean Do the amounts of arsenic appear to be different in the different states Given that the amounts of arsenic in the samples from Texas have the highest mean can we conclude that brown rice from Texas poses the greatest health problem Click the icon to view the data What are the hypotheses for this test OA Ho H1 H 43 H H1 H H3 OB Ho At least one of the means is different from the others H H1 H2 H3 OC Ho H1 H H3 H H H 3 D Ho H1 H2 H3 H At least one of the means is different from the others Determine the test statistic The test statistic is 23 23 Round to two decimal places as needed Determine the P value The P value is 0 000 Round to three decimal places as needed Do the amounts of arsenic appear to be different in the different states There Arsenic Amounts Arkansas California Texas 4 76 4 92 5 01 5 40 5 39 5 37 5 56 5 62 5 57 5 87 6 04 6 05 1 45 3 72 3 95 4 46 4 87 5 05 5 32 5 35 5 37 5 50 5 58 5 55 5 61 5 75 6 64 6 91 6 92 6 86 7 08 7 28 7 47 7 61 7 74 7 66 Print sufficient cidono 0 05 cignificance level to warrant rejection of the claim that the three different states have Done mean arsenic content s in brown rice X

The accompanying table gives amounts of arsenic in samples of brown rice from three different states The amounts are in micrograms of arsenic and all samples have the same serving size The data are from the Food and Drug Administration Use a 0 05 significance level to test the claim that the three samples are from populations with the same mean Do the amounts of arsenic appear to be different in the different states Given that the amounts of arsenic in the samples from Texas have the highest mean can we conclude that brown rice from Texas poses the greatest health problem Click the icon to view the data What are the hypotheses for this test OA Ho H1 H2 H3 H H H2 H3 OB Ho At least one of the means is different from the others H H H H3 OC Ho H1 H H3 H H H H3 D Ho H1 H2 H3 H At least one of the means is different from the others Determine the test statistic The test statistic is 23 23 Round to two decimal places as needed Determine the P value The P value is Round to three decimal places as needed Arsenic Amounts Arkansas California Texas 4 4 76 4 92 5 01 5 40 5 39 5 37 5 56 5 62 5 57 5 87 6 04 6 05 1 45 3 72 3 95 4 46 4 87 5 05 5 32 5 35 5 37 5 50 5 58 5 55 5 61 5 75 6 64 6 91 6 92 6 86 7 08 7 28 7 47 7 61 7 74 7 66 Print Done X

Pages were randomly selected from one book each from authors A B and C The accompanying table shows the ease of reading scores for those pages Use a 0 05 significance level to test the claim that pages from books by those three authors have the same mean ease of reading score Given that higher scores correspond to text that is easier to read which author appears to be different and how is that author different Click the icon to view the data table of the ease of reading scores Determine the null hypothesis Ho H1 H2 H3 Determine the alternative hypothesis H At least one of the means is different from the others Determine the test statistic The test statistic is 9 58 Round to two decimal places as needed Determine the P value The P value is 0 001 Round to three decimal places as needed What can you conclude There Whish Jise 1 00 Ease of Reading Scores A B C 58 3 73 2 73 4 64 5 72 2 89 7 43 7 76 6 76 3 78 3 69 4 72 6 85 8 84 4 79 7 82 4 80 4 84 4 79 4 70 4 78 6 86 2 74 6 83 8 64 6 71 5 71 1 68 5 51 8 72 1 74 2 52 5 58 3 65 5 73 8 69 1 Print sufficient evidence at a 0 05 significance level to warrant rejection of the claim that pages from books by authors A B and C have Done X mean ease of reading score s

The accompanying data table contains chest deceleration measurements in g where g is the force of gravity from samples of small midsize and large cars Shown are the technology results for analysis of variance of this data table Assume that a researcher plans to use a 0 05 significance level to test the claim that the different size categories have the same mean chest deceleration in the standard crash test Complete parts a and b below Click the icon to view the table of chest deceleration measurements Click the icon to view the table of analysis of variance results a What characteristic of the data specifically indicates that one way analysis of variance should be used A The population means are approximately normal B The measurements are categorized according to the one characteristic of size C There are three samples of measurements OD Nothing specifically indicates that one way analysis of variance should be used b If the objective is to test the claim that the three size categories have the same mean chest deceleration why is the method referred to as analysis of variance A The method is based on estimates of a common population variance OB The method is based on estimates of multiple varying population variances OC The method is based on showing that the population variances are similar OD The method is based on showing that the population variances are different More Info Small Chest Deceleration Measurements g from a Standard Crash Test 44 54 39 37 44 CICEER 39 42 X More Info SPSS Results Retween Sum of Squares 200 857 df 2 Mean Square 100 429 F 3 288 Sig 0 061 X

Step 2 This is a binomial experiment with n 18 trials Let a success be that a student withdraws from the course It is given that 15 of students withdraw Recall the method used to find the probability of an event given a percentage probability Thus the probability p a student withdraws from the course is as follows given percentage probability 100 p 0 15 given percentage 100 0 4797 100 X X For 2 or fewer students to withdraw from the course means that exactly Select students withdraw Therefore x will be 0 and 1 probability that 2 or fewer students withdraw from the course will be Select Submit Skip you cannot come back X The probability of each x value is f x so the

A certain statistics instructor participates in triathlons The accompanying table lists times in minutes and seconds he recorded while riding a bicycle for five laps through each mile of a 3 mile loop Use a 0 05 significance level to test the claim that it takes the same time to ride each of the miles Does one of the miles appear to have a hill Click the icon to view the data table of the riding times Determine the null and alternative hypotheses Ho H1 H2 H3 H At least one of the three population means is different from the others Find the F test statistic F 25 6567 Round to four decimal places as needed Find the P value using the F test statistic P value 0 0000 Round to four decimal places as needed What is the conclusion for this hypothesis test OA Reject Ho There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time OB Fail to reject Ho There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time OC Reject Ho There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time O D Fail to reject Ho There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time Riding Times minutes and seconds Mile 1 Mile 2 Mile 3 3 15 3 23 3 24 3 21 3 22 3 19 3 23 3 22 3 18 3 18 3 35 3 31 3 29 3 32 3 30 Notor when posting the doto into your technology each X

Tdesired percentage of SiO in a certain type of alu minous cement is 5 5 To test whether the true average percentage is 5 5 for a particular production facility 16 independently obtained samples are analyzed Suppose that the percentage of SiO in a sample is normally dis tributed with 3 and that 5 5 25 a Does this indicate conclusively that the true average percentage differs from 5 5 b If the true average percentage is 5 6 and a level 01 test based on 16 is used what is the probability of detecting this departure from H What value of n is required to satisfy a 01 and B 5 6 01

success on one trial and there are n trials probability St 2 A sample of 10 first round appeals have been received so we have n 10 10 Let p be the probability that a first round appeal was successful It is given that 35 of first round appeals were successful This percentage must be converted to a probability as follows f x f x p f 0 percentage 100 35 100 n x n x 0 35 Of interest is the probability that none of the appeals will be successful Letting x be the number of successful appeals the probability that x 0 35 This is a binomial experiment with n 10 p 0 35 and x 0 Use the binomial probability function to find this probability rounding the result to four decimal places 1 n p n x where px 1 p n x x n x x 1 p n x Recall the binomial probability function below where x is the number of success p is the probability of a 10 0 10 0 35 1 0 0 0 is to be found

certain statistics instructor participates in triathlons The accompanying table lists times in minutes and seconds he recorded while riding a bicycle for five laps through each mile of a 3 mile loop Use 0 05 significance level to test the claim that it takes the same time to ride each of the miles Does one of the miles appear to have a hill Click the icon to view the data table of the riding times Determine the null and alternative hypotheses Ho H1 H H3 H At least one of the three population means is different from the others Find the F test statistic F 25 6567 Round to four decimal places as needed Find the P value using the F test statistic P value Round to four decimal places as needed Mile 1 Mile 2 Mile 3 Riding Times minutes and seconds 3 15 3 23 3 24 3 21 3 22 3 23 3 22 3 18 3 18 3 19 3 35 3 31 3 29 3 32 3 30 S Note when pasting the data into your technology each mile row will have separate columns for each minute and second entry You will need to convert each minute second antouinto seconds only X

A certain statistics instructor participates in triathlons The accompanying table lists times in minutes and seconds he recorded while riding a bicycle for five laps through each mile of a 3 mile loop Use 0 05 significance level to test the claim that it takes the same time to ride each of the miles Does one of the miles appear to have a hill Click the icon to view the data table of the riding times Determine the null and alternative hypotheses Ho H Find the F test statistic F Round to four decimal places as needed Find the P value using the F test statistic P value Round to four decimal places as needed What is the conclusion for this hypothesis test Riding Times minutes and seconds Mile 1 Mile 2 Mile 3 3 14 3 25 3 23 3 22 3 21 3 18 3 21 3 22 3 18 3 18 3 35 3 31 3 28 3 32 3 29 Does one of the miles appear to have a hill OA Yes these data suggest that the third mile appears to take longer and a reasonable explanation is that it has a hill B Yes these data suggest that the first mile appears to take longer and a reasonable explanation is that it has a hill OC No these data do not suggest that any of the miles have a hill O D Yes these data suggest that the second mile appears to take longer and a reasonable explanation is that it has a hill Note when pasting the data into your technology each mile row will have separate columns for each minute and second entry You will need to convert Print O A Reject Ho There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time OB Fail to reject Ho There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time OC Fail to reject Ho There is insufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time OD Reject Ho There is sufficient evidence to warrant rejection of the claim that the three different miles have the same mean ride time D Done

The accompanying table describes the distribution of eye colors reported by male and female statistics students Is there sufficient evidence to warrant rejection of the belief that gender and eye color a independent traits Use a 0 01 significance level Click the icon to view the data table Determine the null and alternative hypotheses Choose the correct answer below OA Ho Males are not more likely to have brown eyes than females H Males are more likely to have brown eyes than females O B Ho Gender and eye color are independent traits H Gender and eye color are not independent traits OC Ho Gender and eye color are not independent traits H Gender and eye color are independent traits O D Ho Males are more likely to have brown eyes than females H Males are not more likely to have brown eyes than females Determine the test statistic x Round to two decimal places as needed Determine the P value of the test statistic P Value Gender and Eye Color Data Male Female Blue 345 378 Print Round to three decimal places as needed Use a 0 01 significance level to test the claim that gender is independent of eye color OA Reject the null hypothesis There is not sufficient evidence to warrant rejection of the claim that gender is independent of eye color Brown 287 350 Green 106 195 Done Hazel 160 196 D x

9 The melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil was determined resulting in 7 94 32 Assume that the distribution of the melting point is normal with 1 20 a Test H 95 versus H 95 using a two tailed level 01 test b If a level 01 test is used what is 3 94 the probabil ity of a type II error when 94 c What value of nis necessary to ensure that B 94 1 when a 01

Pages were randomly selected from one book each from authors A B and C The accompanying table shows the ease of reading scores for those pages Use a 0 05 significance level to test the claim that pages from books by those three authors have the same mean ease of reading score Given that higher scores correspond to text that is easier to read which author appears to be different and how is that author different Click the icon to view the data table of the ease of reading scores Determine the null hypothesis Ho Determine the alternative hypothesis H Determine the test stic The test statistic is Round to two decimal places as needed Determine the P value The P value is Round to three decimal places as needed What can you conclude There Which author appears to be different and how is that author different Ease of Reading Scores A B C 58 3 73 2 73 4 64 5 72 2 89 7 85 8 84 4 79 7 82 4 80 4 84 4 69 1 64 6 71 5 71 1 68 5 51 8 Print 43 7 76 6 76 3 78 3 69 4 72 6 79 4 70 4 78 6 86 2 74 6 83 8 72 1 74 2 52 5 58 3 65 5 73 8 Done sufficient evidence at a 0 05 significance level to warrant rejection of the claim that pages from books by authors A B and C have X mean ease of reading score s

The data from car crash tests for four different vehicle size categories Small Midsize Large and SUV with measured amounts of left leg femur force kN results in the following Minitab display Us 0 05 significance level test the claim that the four vehicle size categories have the same mean force on the femur of the left leg Does size of the car appear to have an effect on the force on the left n crash tests Analysis of Variance Source Size Error Total DF Adj SS 3 0 6381 20 4828 21 1209 52 55 H Determine the null hypothesis Ho H1 H2 H3 H4 Determine the alternative hypothesis H H H3 H4 Adj MS 0 2127 0 3939 H H H3 H4 F Value 0 54 At least one of the means is different from the others All of the means are different P Value 0 657 WI

data set includes the counts of chocolate chips from three different types of Chips Ahoy cookies The accompanying StatCrunch display shows results from analysis of variance used with those t ypes of cookies Use a 0 05 significance level to test the claim that the three different types of cookies have the same mean number of chocolate chips ANOVA table Source DF Columns Error Total SS MS F Stat P value 886 9875 443 49375 57 7981 0 0001 H 2 77 590 83333 7 6731601 79 1477 8208 Determine the null hypothesis Ho H1 H2 H3 Determine the alternative hypothesis All of the means are different H1 H2 H3 At least one of the means is different from the others H1H2 H3 C

6 A 95 CI for true average amount of warpage mm of laminate sheets under specified conditions was calculated as 1 81 1 95 based on a sample size of 15 and the assumption that amount of warpage is normally distributed a Suppose you want to test H 2 versus H 2 using 05 What conclusion would be appro prate and why b If you wanted to use a significance level of 01 for the test in a what conclusion would be appropriate

Water samples are taken from water used for cooling as it is being discharged from a power plant into a river It has been determined that as long as the mean temperature of the discharged water is at most 150 F there will be no negative effects on the river s ecosystem To investigate whether the plant is in compliance with regulations that prohibit a mean discharge water temperature above 150 50 water samples will be taken at randomly selected times and the temperature of each sample recorded The resulting data will be used to test the hypotheses H 150 ver sus H 150 In the context of this situation describe type I and type II errors Which type of error would you consider more serious Explain

Which of the following is NOT true Choose the correct answer below OA When testing for equality of three population means do not use multiple hypothesis tests with two samples at a time OB As the number of tests of significance increase the risk of finding a difference by chance alone increases OC If the decision from ANOVA is to reject the equality of the three population means the particular mean that differs from the others is k OD The F test statistic is very sensitive to sample means even though it is obtained through two different estimates of the common popul

Which of the following is NOT true when using one way analysis of variance for testing equality of three or more population means Choose the correct answer below OA The conclusion that there is sufficient evidence to reject the claim of equal population means does not indicate a particular mean is different from the othe OB The numerator of the F test statistic measures variation between sample means C Small F test statistics indicate that the decision is to reject the null hypothesis of equal means D Small P values indicate that the decision is to reject the null hypothesis of equal means

You may need to use the appropriate appendix table or technology to answer this question Consider a binomial experiment with n 10 and p 0 10 a Compute f 0 Round your answer to four decimal places f 0 0 3487 b Compute f 2 Round your answer to four decimal places f 2 0 9995 X c Compute P x 2 Round your answer to four decimal places P x 2 0 1937 d Compute P x 1 Round your answer to four decimal places P x 1 e Compute E x E x f Compute Var x and o Round your answer for o to two decimal places Var x

Il in the blank the method of The method of is used for tests of hypotheses that three or more population means are equal one way analysis of variance a survey is used for tests of hypotheses that three or more population means are equ a chi square distribution confidence intervals

8 The following observations are on stopping distance ft of a particular truck at 20 mph under specified experi mental conditions Experimental Measurement of the Stopping Performance of a Tractor Semitrailer from Multiple Speeds NHTSA DOT HS 811 488 June 2011 321 30 4 310 31 9 The cited report states that under these conditions the maximum allowable stopping distance is 30 A normal probability plot validates the assumption that stopping distance is normally distributed a Does the data suggest that true average stopping distance exceeds this maximum value Test the appropriate hypotheses using a 01 b Determine the probability of a type II error when a 91 o 65 and the actual value of pi is 31 Repeat this for 32 use either statistical software or Table A 17 Repeat b using 80 and compare to the results c d What sample size would be necessary to have a 01 and 3 10 when 31 and 65

D A sample of sludge specimens is selected and the pH of each one is determined The one sample test will then be used to see if there is compelling evidence for concluding that true average pH is less than 7 0 What conclusion is appropriate in each of the following situations a 6 1 2 3 a 05 b 15 7 3 1 a 01 c 12 7 1 3 a 05 d n 6 r 7 a 05 e n 6 7 6 68 s Vn 0820

The accompanying table gives amounts of arsenic in samples of brown rice from three different states The amounts are in micrograms of arsenic and all samples have the same serving size The data are from the Food and Drug Administration Use a 0 05 significance level to test the claim that the three samples are from populations with the same mean Do the amounts of arsenic appear to be different in the different states Given that the amounts of arsenic in the samples from Texas have the highest mean can we conclude that brown rice from Texas poses the greatest health problem Click the icon to view the data What are the hypotheses for this test OA Ho H1 H2 3 H H1 H2 H3 B Ho At least one of the means is different from the others H H 3 OC Ho H1 H H3 H H H H3 O D Ho H1 H2 H3 H At least one of the means is different from the others Arsenic Amounts Arkansas 4 76 4 92 5 01 5 40 5 39 5 37 5 56 5 62 5 57 5 87 6 04 6 05 California 1 45 3 72 3 95 4 46 4 87 5 05 5 32 5 35 5 37 5 50 5 58 5 55 Texas 5 61 5 75 6 64 6 91 6 92 6 86 7 08 7 28 7 47 7 61 7 74 7 66 I X

1 75392 65601 1 59585 68373 1 75440 00502 1 69746 07578 1 71142 16875 1 67356 73224 1 65161 48792 1 62692 30218 1 56210

a Compute the probability that none of the appeals will be successful Since there are only two outcomes this can be thought of as a binomial experiment Recall the binomial probability function below where x is the number of success p is the probability of a success on one trial and there are n trials probability A sample of 10 first round appeals have been received so we have n Let p be the probability that a first round appeal was successful It is given that 35 of first round appeals were successful This percentage must be converted to a probability as follows P Submit f x p 1 p x n x n x percentage 100 35 100 p n x where Of interest is the probability that none of the appeals will be successful Letting x be the number of successful appeals the probability that x Skip you cannot come back is to be found

Question In your own words please explain what a confidence interval is

78 The mean number of sick days an employee takes per year is believed to be about 10 Members of a personnel department do not believe this figure They randomly survey eight employees The number of sick days they took for the past year are as follows 12 4 15 3 11 8 6 8 Let x the number of sick days they took for the past year Should the personnel team believe that the mean number is 10

77 An article in the San Jose Mercury News stated that students in th California state university system take 4 5 years on average to finish their undergraduate degrees Suppose you believe that the mean time is longer You conduct a survey of 49 students and obtain a sample mean of 5 1 with a sample standard deviation of 1 2 Do the data support your claim at the 1 percent level

A certain statistics instructor participates in triathlons The accompanying table lists times in minutes and seconds he recorded while riding a bicycle for five laps through each mile of a 3 mile loop Use a 0 05 significance level to test the claim that it takes the same time to ride each of the miles Does one of the miles appear to have a hill Click the icon to view the data table of the riding times Determine the null and alternative hypotheses Ho H Riding Times minutes and seconds Mile 1 Mile 2 Mile 3 3 15 3 23 3 24 3 21 3 22 3 19 3 18 3 23 3 22 3 18 3 35 3 31 3 29 3 32 3 30 0 Note when pasting the data into your technology each mile row will have separate columns for each minute and second entry You will need to convert each minute second entry into seconds only X nsl 9 3

Suppose you model a game of chance with a discrete probability distribution Let X be the net amount o money won or lost by the player Let P X be the probability of the corresponding outcome The three events are as follows There is a 23 chance the player wins 3 dollars There is a 47 chance the player breaks even There is a 30 chance the player loses 6 dollars Complete the table below to model the scenario X P X

Midsize Large and SUV with measured amounts of left leg femur force kN resul in the following Minitab display Using a 0 05 significance level test the claim that th four vehicle size categories have the same mean force on the femur of the left leg Does size of the car appear to have an effect on the force on the left femur in crash tests Analysis of Variance Source Size Error Total DF 3 52 55 Ho Adj SS 0 6381 20 4828 21 1209 Determine the null hypothesis H1 H2H3 H4 Adj MS 0 2127 0 3939 All of the means are different H H H H F Value 0 54 At least one of the means is different from the others P Value 0 657

A data set includes the counts of chocolate chips from three different types of Chips Ahoy cookies The accompanying StatCrunch display shows results from analysis c variance used with those three types of cookies Use a 0 05 significance level to tes the claim that the three different types of cookies have the same mean number of chocolate chips ANOVA table Source DF Columns Error Total SS F Stat P value MS 886 9875 443 49375 57 7981 0 0001 Ho 2 77 590 83333 7 6731601 79 1477 8208 Determine the null hypothesis

Given the following Linear Regression model Pounds of Trash Per Household 1 5 x Person 1 5 How many pounds of trash are created by a household of 5 Edit View Insert Format Tools Table

Given the following Linear Regression model Pounds of Trash Per Household 1 5 x Person 1 5 What is the slope Edit View Insert Format Tools Table

Find the standard deviation for the random variable X 5 3 7 9 14 P X x 0 23 0 23 0 24 0 15 0 15 X 6 165887121899 5 1248185333727 6 2192968252046 6 0422483398152

Which of the following is NOT true Choose the correct answer below CERED O A When testing for equality of three population means do not use multiple hypothesis tests with two samples at a time OB As the number of tests of significance increase the risk of finding a difference by chance alone increases OC If the decision from ANOVA is to reject the equality of the three population means the particular mean that differs from the others is kno OD The F test statistic is very sensitive to sample means even though it is obtained through two different estimates of the common population variar

0 2 0 3 0 1 0 35 0 05 2 6 7 10 13 Find the expected value of the above random variable