Statistics Questions

15 Three years ago the mean price of an existing single family home was 243 713 A real estate broker believes that existing home prices in her neighborhood are lower a State the null and alternative hypotheses in words b State the null and alternative hypotheses symbolically c Explain what it would mean to make a Type I error d Explain what it would mean to make a Type Il error State the alternative hypothesis in words Choose the correct answer below OA The mean price of a single family home in the broker s neighborhood is less than 243 713 OB The mean price of a single family home in the broker s neighborhood is different from 243 713 OC The mean price of a single family home in the broker s neighborhood is 243 713 O D The mean price of a single family home in any neighborhood is 243 713

Construct a 90 confidence interval of the population proportion using the given information x 40 n 200 Level of Confidence 1 a 100 90 95 99 The lower bound is Area in Each Tail 0 05 0 025 0 005 2 The upper bound is Round to three decimal places as needed Critical Value z 1 645 1 96 2 575

ee years ago the mean price of an existing single family home was 24 Ker believes that existing home prices in her neighborhood are lower State the nuli nypotnesis in words Cnoose the correct answer Delow A The mean price of a single family home in the broker s neighborhood is less than 243 713 B The mean price of a single family home in any neighborhood is 243 713 C The mean price of a single family home in the broker s neighborhood is 243 713 D The mean price of a single family home in the broker s neighborhood is different 243 713

12 A survey was conducted that asked 1008 people how many books they had read in the past year Results indicated that x 10 1 books and s 16 6 books Construct a 90 confidence interval for the mean number of books people read Interpret the interval Construct a 90 confidence interval for the mean number of books people read and interpret the result Select the correct choice below and fill in the answer boxes to complete your choice Use ascending order Round to two decimal places as needed O A There is 90 confidence that the population mean number of books read is between and OB If repeated samples are taken 90 of them will have a sample mean between CO OF OC There is a 90 probability that the true mean number of books read is between and and

ples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population What does this ind how that when samples of size 2 are randomly selected about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population as a bit oluts are avul a sampit man att vian ay mae as a coma un ie man i a po A The sample mean absolute deviation is a biased estimator of the population mean absolute deviation because the sample statistic centers around a different va than the population parameter OB The sample mean absolute deviation is a biased estimator of the population mean absolute deviation because the sample statistic centers around the mean valu the population OC The sample mean absolute deviation is an unbiased estimator of the population mean absolute deviation because the sample statistic centers around the mean value of the population ulation abcoluto

Find the t value such that the area left of the t value is 0 15 with 24 degrees of freed symmetry Round to three decimal places as needed Find the critical t value that corresponds to 60 confidence Assume 9 degrees of fre Round to three decimal places as needed

is left tailed right tailed or two tailed What parameter is being tested Ho H 3 H 3 What type of test is being conducted in this problem Two tailed test O Right tailed test

he null and alternative hypotheses are given Determine whether the hyp left tailed right tailed or two tailed What parameter is being tested Ho 3 H 3 What parameter is being tested O Population standard deviation O Population mean Population proportion

sample standard deviation s is found to be 4 9 d If the sample size is 18 what conditions must be satisfied to compute the confidence OA The sample size must be large and the sample should not have any outliers OB The sample must come from a population that is normally distributed and the sar size must be large OC The sample data must come from a population that is normally distributed with ne outliers

6 In a survey of 2065 adults in a certain country conducted during a period of economic uncertainty 66 thought that wages paid to workers in industry were too low The margin of error was 4 percentage points with 95 confidence For parts a through d below which represent a reasonable interpretation of the survey results For those that are not reasonable explain the flaw c We are 95 confident that the interval from 0 62 to 0 70 contains the true proportion of adults in the country during the period of economic uncertainty who believed wages paid to workers in industry were too low Is the interpretation reasonable O A The interpretation is reasonable OB The interpretation is flawed The interpretation provides no interval about the population proportion OC The interpretation is flawed The interpretation indicates that the level of confidence is varying OD The interpretation is flawed The interpretation suggests that this interval sets the standard for all the other intervals which is not true

Listed below are the amounts dollars it costs for marriage proposal packages at different baseball stadiums Find the range variance and standard deviation for the given sample data Include appropriate units in the results Are there any outliers and are they likely to have much of an effect on the measures of variation 37 50 50 65 70 90 90 120 195 209 250 350 500 2000 2500 KOUNG WO ne decam pace as heeveu Are there any outliers and if so are they likely to have much of an effect on the measures of variation OA Yes the largest amounts are much higher than the rest of the data and appear to be outliers It is likely that these are having a large effect on the measures of variation OB Yes the largest amounts are much higher than the rest of the data and appear to be outliers It is not likely that these are having a large effect on the measures of variation OC Yes the smallest amounts are much lower than the rest of the data and appear to be outliers It is not likely that these are having a large effect on the measures of variation OD No there are not any outliers

Use the Measures of Center flow chart interactive to answer the following question Find the median of the following values 6 6 12 15 961 Choose the correct answer below A 6 B 482 5 C 12 OD 200 www

Use the Percentiles flow chart interactive to answer the following question When finding the value of a percentile the location of that value is L what is the value of the 40th percentile n where k is the percentile and n is the sample size Given a sorted sample of 500 IQ scores 100 Choose the correct answer below OA The 40th IQ score in the sorted list B The IQ score midway between the 200th and 201st scores in the sorted list C The IQ score midway between the 40th and 41st scores in the sorted list D The 200th IQ score in the sorted list

ermine the point estimate of the population proportion the margin of error for the f fidence interval and the number of individuals in the sample with the specified cha or the sample size provided Lower bound 0 489 upper bound 0 761 n 1200 una to the nearest nousanain as needed margin of error is und to the nearest thousandth as needed number of individuals in the sample with the specified characteristic is und to the nearest integer as needed

your score on your next statistics test is converted to a z score which of these z scores would you prefer 2 00 1 00 01 00 2007 Why OA The 2 score of 2 00 is most preferable because it is 2 00 standard deviations below the mean and would correspond to the highest of the five different possible scores OB The 2 score of 1 00 is most preferable because it is 1 00 standard deviation above the mean and would correspond to an above average test score OC The z score of 0 is most preferable because it corresponds to a test score equal to the mean OD The 2 score of 2 00 is most preferable because it is 2 00 standard deviations above the mean and would correspond to the highest of the five different possible t scores OE The 2 score of 1 00 is most preferable because it is 1 00 standard deviation below the mean and would correspond to an above average test score

ccording to previous studies 16 of the U S population is left handed Not knowing this a high school student claims that the percentage of left handed eople in the U S is 17 The student is going to take a random sample of 2100 people in the U S to try to gather evidence to support the claim Let p be the proportion of left handed people in the sample Answer the following If necessary consult a list of formulas a Find the mean of p b Find the standard deviation of p c Compute an approximation for P 0 17 which is the probability that there will be 17 or fewer left handed people in the sample Round your answer to four decimal places

In a survey conducted by a wedding planning website 1228 married or engaged women were asked about the importance of a bended knee when making a marriage proposal Among the 1228 respondents 42 said that the bended knee was essential Complete parts a through d Type an integer or a decimal Do not round b Could the result from part a be the actual number of survey respondents who said that a bended knee is essential Why or why not OA No the result from part a could not be the actual number of survey respondents who said this because that is a very rare outcome OB No the result from part a could not be the actual number of survey respondents who said this because a count of people must result in a whole number OC Yes the result from part a could be the actual number of survey respondents who said this because the result is statistically significant O D Yes the result from part a could be the actual number of survey respondents who said this because the polling numbers are accurate d Among the 1228 respondents 71 said that a bended knee is corny and outdated What percentage of respondents said that a bended knee is corny and outdated 7 c What is the actual number of survey respondents saying that the bended knee is essential The actual number of survey respondents with this response is Round to the nearest whole number as needed

Suppose you are a game sho being told that two of them co one of the three Next the ho that there is nothing behind it selection or switching to the o where 0 and 1 represent no p always choose door 1 and th does not have the sports car Click the icon to view the 1 Sim 1 2 3 TI 4 7 5 0 6 8 Door Number 10 00 1221H 9 10 0 1 0 12 2 3 ON 0 1 0 1 UNOO 2 2 1220 1 2 ON 0 1 2 0 1 2 0 hould you switch doors ype an integer or a decimal O A Based on the simulations you should not switch because the which is probability that you will win the sports car if you do is less than 0 05 B Based on the simulations you should not switch because the probability that you will win the sports car if you do is less than 0 5 which is c Based on the simulations you should switch because the probab that you will win the sports car if you do is which is greater th 0 5

A technology company manufactures smartphones and would like to set a warranty period wherein the company would replace any smartphone that failed within the warranty period Prior research has shown that the average lifespan of the smartphone is 40 months with a standard deviation of 3 months and the distribution of all smartphone lives is known to be normally distributed The technology company s management has decided that it wants to replace no more than 9 of the smartphones it sells Determine the length of the warranty period for these smartphones so that no more than 9 should fail within the warranty period Round the solution to the nearest whole number if necessary The warranty period should be months Suppose someone in the marketing department mistakenly printed that the warranty period for the smartphones was 37 months What percentage of the smartphones should the company expect to fail and be required to replace Round the solution to one decimal place if necessary The company should expect to replace which is much higher than the desired 9

A simple random sample of size n 19 is drawn from a population that is normally distributed The sample mean is found to be x 64 anc the sample standard deviation is found to be s 20 Construct a 90 confidence interval about the population mean The lower bound is 56 06 The upper bound is 71 94 Round to two decimal places as needed

In a survey of 1006 adults a polling agency asked When you retire do you think you will have enough money to live comfortably or no Of the 1006 surveyed 532 stated that they were worried about having enough money to live comfortably in retirement Construct a 95 confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement Click here to view the standard normal distribution table page 1 Click here to view the standard normal distribution table page 2 Click here to view the table of critical t values Click here to view the table of critical values of the chi square distribution Select the correct choice below and fill in the answer boxes to complete your choice Use ascending order Round to three decimal places as needed OA There is a 95 probability that the true proportion of worried adults is between B There is 95 confidence that the true proportion of worried adults is between OC 95 of the population lies in the interval between and and and

A golf association requires that golf balls have a diameter that is 1 68 inches To determine if golf balls conform to the standard a random sample of golf balls was selected Their diameters are shown in the accompanying data table Do the golf balls conform to the standards Use the 0 05 level of significance Click the icon to view the data table Ho P 1 68 H L 1 68 Type integers or decimals Do not round Find the test statistic Round to two decimal places as needed Find the P value Round to three decimal places as needed What can be concluded from the hypothesis test OA Reject Ho There is not sufficient evidence to conclude that the golf balls do not conform to the association s standards at the 0 05 level of significance OB Do not reject Ho There is not sufficient evidence to conclude that the golf balls do not conform to the association s standards at the a 0 05 level of significance OC Do not reject Ho There is sufficient evidence to conclude that the golf balls do not conform to the association s standards at the x 0 05 level of significance D Reject Ho There is sufficient evidence to conclude that the golf balls do not conform to the association s standards at the

The data in the table were gathered from 16 computer technicians who have completed a two year college diploma course YEARS EXPERIENCE 3 12 1 0 41000 65000 40500 42600 48300 51000 49700 46000 74200 61300 54300 52500 56100 42500 39800 64200 a Enter the numeric data into a google sheet to create a scatter plot and include a copy of that scatter plot here Provide the trendline equation and R value on the graph b Describe the relationship between the two variables T 1 c Complete the table below to 2 decimal places K 13 r VALUE d 0 5 9 8 5 18 16 8 8 10 3 SALARY 2 12 I TYPE OF CORRELATION EQUATION OF LINE OF BEST FIT How well does the line fit the data EXPLAIN UCE Intro The pa tables breaks docum

Make a graph with the 5 data points from your results Draw a curve of the best fit for these results Interpret the pattern in your graphed results Table 1 Dimensions of Vegetable Sticks in Different Sugar Concentrations 2 3 5 Glass Number 4 0 4 2 3 8 4 5 4 3 Length cm 0 5 0 6 0 4 0 5 0 7 Width cm 0 5 0 4 0 6 0 7 0 5 Height cm

According to recent research 37 of Americans have less than 300 in the bank for an emergency Let be the proportion of people who have less than 300 in the bank for an emergency in a random sample of 62 Americans Determine the probability that the proportion of people in a random sample of 62 Americans who have less than 300 in the bank for an emergency is within 1 of the population proportion Round the solution to four decimal places P p within 1 of the population proportion Determine the probability that the proportion of people in a random sample of 62 Americans who have less than 300 in the bank for an emergency is less than the population proportion by 17 or more Round the solution to four decimal places P less than the population proportion by 17 or more

The table available below shows the weights in pounds for a sample of vacuum cleaners The weights are classified according to vacuum cleaner type At a 0 05 can you conclude that at one mean vacuum cleaner weight is different from the others Click the icon to view the vacuum cleaner weight data Let HBU HBLU and HTC represent the mean weights for bagged upright bagless upright and top canister vacuums respectively What are the hypotheses for this test OA Ho At least one of the means is different Ha HBU HBLUPTC OB Ho HBU BLU HTC Ha PBUHBLU HTC C Ho HBU HBLU HTC H At least one of the means is different OD Ho HBU HBLU HTC Ha HBU HBLU HTC What is the test statistic F Round to two decimal places as needed Weight of Vacuum Cleaners by Type Bagged upright 21 Bagless 19 upright Top canister 24 Print 19 23 20 18 16 18 19 27 26 D Done 22 18 17 25 23 26 X

2 A company is bidding two projects The chance of win project A is 18 win project B is 20 and the chance of win both is 5 a What is chance that your company will win neither projects b What is the chance that you company will win project B but not project A c If someone told you that your company won project B now what is the chance that your company will not win project A d Are events A and B independent events

35 A factory have two production lines produces certain goods The newer production line produces 90 of all goods with a defection rate of 3 the other have a defective rate of 5 What is the overall defective rate in the factory If a product is found defective what is the chance that it was produced by the newer production line

According to the National Weather Service the mean daily temperature in Fort Pierce is 72 9 F with a standard deviation of 3 9 F Consider the mean daily temperature in Fort Pierce for a sample of 47 randomly selected days Determine the probability that the mean daily temperature of a sample of 47 randomly selected days is greater than the mean daily temperature by at least 1 3 F Round the solution to four decimal places if necessary P greater than by at least 1 3 F

3 15 There are two container of Marbles Container A has 20 black and 30 white marbles and Container B has 300 white and 100 black marbles One person randomly sect a marble from container A and put it into B now you will randomly choose 5 marbles from container B what is the chance that exactly two are white

To introduce new ideas about the topic of the paper To present a brief and powerful wrap up To hook the readers and grab their attention To present a thesis statement QUESTION 8 Which of the following is a capitalization rule for titles O Capitalize the first letter of the first word Capitalize the first letter of important words Capitalize the first letter of the last word All of the

What is the primary O To name the assignment To present the thesis statement To be original and reflect the essay topic O To name the author of the essay and the instructor of the cour QUESTION 10 Following formal writing conventions helps writers O Present ideas in a vague and unattached tone O Follow the rules of grammar O Join an interesting conversation

When using a source in your writing the essential components for successfully integrating the source are Transition context and citation Context date of publication and page number Accuracy and clarity Reliability and credibility QUESTION 5 To create an effective introduction you should O Present a powerful wrap up that revisits your main points Move from specific points to general overview Engage the reader create interest in the topic and present a clear focus O Present all you have learned about the topic of the paper QUESTION 6 What is the purpose of a thesis statement To give a map of the paper To indicate the purpose of the essay

A population distribution is normally distributed with 159 and o 27 Use this information to determine the following two probabilities Round solutions to four decimal places if necessary Find the probability that a single randomly selected observation is less than 168 P x 168 Find the probability that a sample of 90 randomly selected observations has a mean less than 168 P 168

One year the mean age of an inmate on death row was 40 4 years A sociologist wondered whether the mean age of a death row inmate has changed since then She randomly selects 32 death row inmates and finds that their mean age is 38 6 with a standard deviation of 8 5 Construct a 95 confidence interval about the mean age What does the interval imply Click the icon to view the table of critical t values Choose the correct hypotheses Ho H Type integers or decimals Do not round Construct a 95 confidence interval about the mean age With 95 confidence the mean age of a death row inmate is between What does the interval imply years and years Round to two decimal places as needed OA Since the mean age from the earlier year is not contained in the interval there is sufficient evidence to conclude that the mean age had changed OB Since the mean age from the earlier year is not contained in the interval there is not sufficient evidence to conclude that the mean age had changed OC Since the mean age from the earlier year is contained in the interval there is sufficient evidence to conclude that the mean age had changed OD Since the mean age from the earlier year is contained in the interval there is not sufficient evidence to conclude that the mean age had changed

1 A certain brand of light bulbs has lifetimes that are normally distributed with a mean of 9000 hours and a standard deviation of 300 hours Bulbs that last less than 8436 hours are considered bad bulbs a Find the percentage of bad bulbs being manufactured 2 pts b Suppose that bulbs are packaged in boxes of 4 bulbs Find the probability that a random box contains exactly one bad bulb Round to four decimal places 2 pts C Find the probability that a box of 4 contains at least one bad bulb Round to four decimal places 2 pts 2 Suppose that a shipment of 700 boxes of 4 bulbs is made to a large business customer How many boxes would we expect to have at least one bad bulb in them 2 pts

Previously 5 of mothers smoked more than 21 cigarettes during their pregnancy An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 5 today She randomly selects 115 pregnant mothers and finds that 3 of them smoked 21 or more cigarettes during pregnancy Test the researcher s statement at the a 0 1 level of significance What are the null and alternative hypotheses Ho V V versus H Type integers or decimals Do not round Because npo 1 Po Round to one decimal place as needed Find the P value 10 the normal model be used to approximate the P value P value Round to three decimal places as needed Is there sufficient evidence to support the obstetrician s statement O A No do not reject the null hypothesis because the P value is greater than a There is not sufficient evidence to conclude that the percentage of mothers who smoke 21 or more cigarettes during pregnancy is less than 5 OB Yes reject the null hypothesis because the P value is less than a There is sufficient evidence to conclude that the percentage of mothers who smoke 21 or more cigarettes during pregnancy is less than 5 OC Yes do not reject the null hypothesis because the P value is greater than a There is sufficient evidence to conclude that the percentage of mothers who smoke 21 or more cigarettes during pregnancy is less than 5 OD No reject the null hypothesis because the P value is less than a There is not sufficient evidence to conclude that the percentage of mothers who smoke 21 or more cigarettes during pregnancy is less than 5

Click here to view the t Distribution Area in Right Tail a If x 46 9 and s 12 5 compute the test statistic to Round to three decimal places as needed Critical Value Round to three decimal places Use a comma to separate answers as needed b If the researcher decides to test this hypothesis at the 0 05 level of significance determine the critical value s Although technology or a t distribution table can be used to find the critical valu this problem use the t distribution table given c Draw a t distribution that depicts the critical region Choose the correct answer below A B 0 ta a population that d Will the researcher reject the null hypothesis A No because the test statistic falls in the critical region OB Yes because the test statistic falls in the critical region OC Yes because the test statistic does not fall in the critical region OR No because the test statistic does not fall in the critical region SE A t 0 iete par a through a below O C N a 2 0 ta 2

According to a recent Pew Research poll 67 of Americans say that the U S economic system favors the powerful In a recent sample of 290 Americans 245 agreed that the U S economic system unfairly favors the powerful Determine the values of p and p Round solutions to two decimal places if necessary P

A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 46 states What is the probability that she selects the route of four specific capitals P she selects the route of four specific capitals Type an integer or a simplified fraction

A student wants to simulate 44 birthdays but she does not have a calculator or software program available so she makes up 44 numbers between 1 and 365 Is it okay to conduct the simulation this way Why or why not Choose the correct answer below OA Yes People are capable of randomly making up numbers between two values OB Yes People are better at picking birth dates than computers since they can base the numbers on the birth dates of people they know OC No Simulations must be performed with either a calculator or a statistical program OD No People generally favor some numbers over others so that they don t select numbers with a process that is truly random

Find the midrange for the data items in the given frequency distribution Score x Frequency f 70 2 71 2 72 1 73 5 The midrange is Type an integer or a decimal 74 6 75 2 76 6 77 3

Below are the times in days it takes for a sample of 14 customers from Jack s computer store to pay their invoices 19 15 43 39 35 31 42 42 42 38 38 38 34 34 Send data to calculator Draw the frequency polygon for these data using an initial class boundary of 14 5 an ending class boundary of 50 5 and 4 classes of equal width Note that y can add or remove classes from the figure Label each class with its midpoint Frequency 7 27 Time in days O 1 00 00 0 X S

You are given that sin A your answer as a fraction 1 25 H with A in Quadrant IV and cos B with B in Quadrant III Find sin A B Give

The New York City Marathon is a highly selective race One way to gain entry into the race is to qualify based on a time from a prior completed marathon The NYC Marathon s organizers use this method to limit admission to the top 5 of marathon runners If the mean completion time of all marathons is 180 minutes with a standard deviation of 20 minutes what qualifying time should the NYC Marathon organizers set so that only the top 5 of runners will be admitted entry to the NYC Marathon Round the solution to one decimal place if necessary The qualifying time should be set to admitted entry to the NYC Marathon minutes to ensure that only the top 5 of runners will be

A survey was conducted that asked 1013 people how many books they had read in the past year Results indicated that x 10 4 books and s 16 6 books Construct a 90 confidence interval for the mean number of books people read Interpret the interval Click the icon to view the table of critical t values Construct a 90 confidence interval for the mean number of books people read and interpret the result Select the correct choice below and fill in the answer boxes to complete your choice Use ascending order Round to two decimal places as needed A There is a 90 probability that the true mean number of books read is between and OB There is 90 confidence that the population mean number of books read is between OC If repeated samples are taken 90 of them will have a sample mean between and and

SAT college entrance test scores are known to be a normally distributed with a mean of 1100 and a standard deviation of 90 Determine the 45th percentile of all SAT scores Round the solution to the nearest whole number if necessary The 45th percentile is

Determine the two values of z such that the middle 28 of the data lie between the two z values Round the solutions to two decimal places as z values are traditionally rounded The middle 28 of the data lie between z and z

In a survey of 2147 adults in a recent year 1202 say they have made a New Year s resolution Construct 90 and 95 confidence intervals for the population proportion Interpret the results and compare the widths of the confidence intervals The 90 confidence interval for the population proportion p is Round to three decimal places as needed

The table available below shows the costs per mile in cents for a sample of automobiles At a 0 05 can you conclude that at least one mean cost per mile is different from the others Click on the icon to view the data table Let HSS HMS PLS Psuv and HMV represent the mean costs per mile for small sedans medium sedans large sedans SUV 4WDs and minivans respectively What are the hypotheses for this test OA Ho Not all the means are equal Ha Hss HMS PLS SUV HMV OB Ho Hss HMS HLS Hsuv HMV Ha Hss HMS HLS HSUV HMV C Ho Hss HMS HLS HSUV HMV H Not all the means are equal OD Ho Hss HMS HLS HSUV HMV Ha Hss HMS HLS Hsuv HMV What is the test statistic FSTAT Round to two decimal places as needed