Statistics Questions and Answers

Suppose we want to choose 3 colors without replacement from the 4 colors red blue green and purple If necessary consult a list of formulas a How many ways can this be done if the order of the choices matters b How many ways can this be done if the order of the choices does not matter X

Question 29 Recudd

arvas X Solve the problem 9 This Quiz Will Be Submitted In Thir The data in the table represent the amount of pressure psi exerted by a stamping m scrap brass shavings in pounds that are collected from the machine each hour y outputs from two different statistical technologies TI 83 84 94 Calculator and Ex confirms that there is a linear association Report the equation for predicting scrap such as scrap not x and y State the slope and intercept of the prediction equation nearest thousandth x 2 00 7 80 14 51 2 80 4 01 6 21 11 84 5 11 11 67 8 70 y 2 30 15 14 28 65 4 15 6 35 10 52 24 05 8 75 22 22 17 02 LinReg y ax b a 2 134464237 b 2 018775528 r 0 996074796 r 0 998035467 Intercept X Variable 1 Coefficients 2 018775528 2 134464237 cran 2 019 2 134 pressure slope 2 019 and the intercept is 2 134

Question 38 Provide an appropriate response You are planning to use a sample proportion p to e confidence level of 95 yielded a margin of error c error 1 Increasing the sample size while keeping th II Decreasing the sample size while keeping t III Increasing the confidence level while keep IV Decreasing the confidence level while kee O II and IV

estion 37 ide an appropriate response the area of the indicated region under the stand 68 1 30 0

Question 18 Find the probability of z occurring in the indicated region 2 O 0 9772 O 0 0456 O 0 9544 0 3

Question 21 random sample of 40 college students h opulation standard deviation of earnings istribution of earnings over the summer n normal distribution or a t distribution she

estion 19 vide an appropriate response mean age of bus drivers in Chicago is 50 sion that fails to reject the null hypothesis

Find the value of E the margin of error for c 0 90 n 10 and s 3 2 183 1 40 1 85

Solve the problem A researcher wants to know whether athletic men are more man who exercised vigorously at least four times per week inches on a sit reach box Test the researcher s claim usin Athletic men n 50 X 4 3 inches x 2 1 inches Non athletic men n 40 X 3 2 x 1 0 inches Assume that all conditions for testing have been met Rep level state your decision regarding the null hypothesis an values to the nearest thousandth Assume unequal popul

d we are ren is always subject to the Code of Conduct us sly 14

tre as urway eriously on 13 h appropriate response

nd we are relying on our students to behave v as always subject to the Code of Conduct as usly 12

as always subject to the Code of Conduct as out usly 9 roblem he statement by filling in the blanks ructing a confidence interval if the level of

The P value for a hypothesis test is P 0 007 Do you reject or fail to reject Hy when the level of significance is a 0 017 Oreject Ho not sufficient information to decide

Construct a 95 confidence interval for the population mean Asume the population has a normal distribution A sample of 20 college students had me all earnings of 3120 with a standard deviation of 2135 2567 2803 53437 2657 2891

Provide an appropriate response Calculate the correlation coefficient r for the data below 31 16 24 3 3 833385 0 881 O 0 990 O 0 792 O 0 819 7 9

Mrs Jones is a librarian at Westside Library In examining a random sample of the library s book collection she found the following 676 books had no damage 83 books had minor damage and 44 books had major damage Based on this sample how many of the 68 500 books in the collection should Mrs Jones expect to have no damage or minor damage Round your answer to the nearest whole number Do not round any intermediate calculations books X D

C 11 3 If necessary consult a list of formulas 11 3 12P3 12 3 0

An number cube a fair die is rolled 3 times For each roll we are interested in whether the roll comes up even or odd An outcome is represented by a string of the sort oee meaning an odd number on the first roll an even number on the second roll and an even number on the third roll For each outcome let be the random variable counting the number of even rolls in each outcome For example if the outcome is oeo then N oeo 1 Suppose that the random variable x is defined in terms of as follows X 4N 2N 2 The values of x are given in the table below Outcome eoo ooo eee eeo ooe eoe oeo oee Value of X 0 Calculate the probabilities P X x of the probability distribution of x First fill in the first row with the values of x Then fill in the appropriate probabilities in the second row Value X of X 2 8 2 0 2 0 2 P X x 0 3 X 6

There are 36 000 adults living in Grand City In examining attitudes toward the news a research group asked a random sample of Grand City adults What is your main source of news The results are shown below Main Source of News Newspapers Internet Television Radio Other Number of Adults 59 99 152 22 48 Based on the sample predict the number of adults in Grand City whose main source of news is television Round your answer to the nearest whole number Do not round any intermediate calculations adults X 0 Aa K

two cities Salt Lake City and Cincinnati There were 20 air fares i for the Salt Lake City route and 23 recorded for the Cincinnati ro display to answer the questions that follow Air fares dollars from St Louis Salt Lake City Cincinnati 5 20 16 98 887 661 544 432 23 23 78 750 24 239 51 25 5 21 0 1 449 22 0 0 3 3 4 568 Key 205 5 20 1 201 0 a What were the ranges of air fares for the two routes Salt Lake City Cincinnati b Which route had the higher median air fare Salt Lake City Cincinnati The medians were the same c Which route had more air fares from 220 to 229 OSalt Lake City O Cincinnati OEach had the same X

Score 4 5 11 Question 9 8 7 6 5 11 answered Cristian is investigating how long his phone s battery lasts of 0 100 His data is displayed in the table and graph bel K Brightness Level x Hours y V 18 6 3 25 31 38 42 6 2 5 2 5 9 4 6

RELE AUSWCT CU Question 5 An unknown metal has been found and the following ex below The table contains the grams of the unknown me displacement Find a linear model that expresses volum grams Volume in ml 155 6 179 3 196 6 214 229 1 15 5 17 18 5 20 A

Izzo s Pizza sells four types of pizza crust Last week the owner tracked the number sold of each type and this is what he found Type of Crust Number Sold Thin crust Thick crust Stuffed crust Pan style 302 216 366 196 Based on this information of the next 5000 pizzas he sells how many should he expect to be thick crust Round your answer to the nearest whole number Do not round any intermediate calculations pizzas X

P 84 If necessary consult a list of formulas C 93 84 3 X

With 95 confidence construct an interval to estimate the true proportion of marshmallows in a 9 oz serving of Marshmallow Matey s cereal I II III State Identify your Test Identify your p Plan Check that all conditions are met Do Show your naked formula populated formula and run the test IV Conclude Using your script interpret your confidence interval II III X 48 n 204 Marshmallow Mateys STEP

work Chapter 8 Part 2 4 11 answered tion 4 t Linea The table below shows the value V of 3 V n 15871 16084 74 ne the linear regression equation that modell

A university class has 24 students 8 are business majors 4 are history majors and 12 are art majors Each student has only one of these majors The professor is planning to select two of the students for a demonstration The first student will be selected at random and then the second student will be selected at random from the remaining students What is the probability that two business majors will be selected Do not round your intermediate computations Round your final answer to three decimal places If necessary consult a list of formulas

1 O A fast food restaurant estimates that the mean sodium content in one of its b milligrams At a 0 10 do you have enough evidence to reject the restaurant

You want to determine if sex and or city of residence impact salary You recruit 100 subjects 50 male and 50 female each from St Louis Memphis and New Orleans and record their household income To determine the sex location and combined effects on salary you would use a Assume all assumptions are met for a parametric test O Factorial ANOVA One way repeated measures ANOVA Factorial repeated measures ANOVA

You want to determine if diet impacts body weight You recruit 60 subjects assigning 20 each to either one of two dietary interventions or to maintain their normal diet You measure body weight before and after the intervention and calculate the change in body weight post minus pre weights Shapiro Wilk tests show the following Diet 1 p 0 032 Diet 2 p 0 001 Normal Diet p 0 025 To determine the diet effect on the calculated change in body weight you would use a Assume all other assumptions are met for a parametric test O Friedman s test One way repeated measures ANOVA

You want to determine if the COVID 19 epidemic impacted salary You recruit 100 subjects and record their salary in January April and July of 2020 To determine the time January vs April vs July effect on salary you would use a Assume all assumptions are met for a parametric test Factorial ANOVA O One way repeated measures ANOVA O Factorial repeated measures ANOVA One way ANOVA

You want to determine if city of residence impacts salary due to the COVID 19 epidemic You recruit 50 subjects each from St Louis Memphis and New Orleans and record their salary in January and July of 2020 You subtract the July salary from the January salary to calculate a salary change score Shapiro Wilk tests show the following St Louis p 0 432 Memphis p 0 201 New Orleans p 0 125 To determine effect of city on the salary change score you would use a Assume all assumptions are met for a parametric test Friedman s test One way repeated measures ANOVA O Kruskal Wallis ANOVA ANOVA

population mean of the wait times in the drive thru for all customers To do so you select a random sample of 40 of the chain s drive thru customers and record the wait time in the drive thru for each Assume it is known that the population standard deviation of the wait times in the drive thru for the taco chain s restaurants is 2 79 minutes Based on your sample follow the steps below to construct a 95 confidence interval for the population mean of the wait times in the drive thru for all customers If necessary consult a list of formulas a Click on Take Sample to see the results from your random sample of 40 customers b Take Sample Sample size 0 Point estimate 0 Population standard deviation 0 Critical value 0 Enter the values of the sample size the point estimate for the population mean the population standard deviation and the critical value you need for your 95 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute Compute 0 00 0 00 Number of customers 2 00 Sample mean Standard error Margin of error 4 00 95 confidence interval Sample standard 95 confidence interval deviation Based on your sample enter the lower and upper limits to graph the 95 confidence interval for the population mean of the wait times in the drive thru for all customers 6 00 Confidence level 99 95 90 Population standard deviation 2 79 8 00 Critical value 0 005 2 576 0 025 1 960 20 050 1 645 10 00 10 00

X d Decide whether to reject or fail to reje

Which statement is true about bias a Bias can inspire you to research a topic thoroughly There is no such thing as too much bias b Any amount of bias makes it impossible for you to research a topic thoroughly without having your opinions get in the way c The advantage of bias is that it allows you to ignore other ideas and focus only your personal experience d Bias can inspire you to research a topic thoroughly However too much bias may cause you to ignore opposing ideas or exaggerate your own ideas Od O a Ob

Does this thesis statement have a limiting statement Even though there is much work to be done learning about the United States history of slavery is a good first step to improving race relations in this country O Yes O No

A sample of 106 body temperatures were taken This sample has a mean of 98 20 F and a standard deviation of 0 62 F Construct a 95 confidence interval estimate of the variance of the body temperatures for the entire population Please show your work by stating the formula used to construct your confidence interval estimate Please indicate the values plugged into the formula Then round your answer to two decimal places Please include units and a complete summary sentence

Suppose a simple random sample of size n 200 is obtained from a population whose size is N 25 000 and whose population proportion with a specified characteristic is p 0 4 Click here to view the standard normal distribution table page 1 Click here to view the standard normal distribution table page 2 Determine the standard deviation of the sampling distribution of p GA 0 034641 Round to six decimal places as needed P b What is the probability of obtaining x 90 or more individuals with the characteristic That is what is P p 0 45 P p20 45 0 0745 Round to four decimal places as needed c What is the probability of obtaining x 68 or fewer individuals with the characteristic That is what is P p 0 34 P p 0 34 Round to four decimal places as needed

You perform an experiment where body weight is measured in men and women who are either trained or sedentary and analyze your data using a factorial ANOVA You find the following sex p 0 023 training status p 0 435 sex x training status p 0 001 You interpret this as O A significant main effect of sex no significant main effect of training status a significant interaction O A significant main effect of sex a significant main effect of training status a significant interaction O No significant main effect of sex A significant main effect of training status no significant interaction O No significant main effect of sex no significant main effect of training status no significant interaction

You want to determine the effect of exercise on body weight and measure body weights in 20 subjects per exercise treatment after 12 months of treatment with one of two different exercise interventions Assuming a parametric statistical test analyzing these data would best be done using O Independent samples T test O Paired T test O One way ANOVA

You want to determine the effect of diet and exercise on body weight and measure body weights in 20 subjects per treatment combination after 12 months of treatment Subjects are assigned to a diet exercise treatment combination so with two diets and two exercise treatments there are 4 total groups Assuming a parametric statistical test analyzing these data would best be done using O Independent samples T test O Paired T test One way ANOVA

CNNBC recently reported that the mean annual cost of auto insurance is 1020 dollars Assume the standard deviation is 263 dollars You take a simple random sample of 90 auto insurance policies Find the probability that a single randomly selected value is less than 961 dollars PIX 961 Find the probability that a sample of size n 90 is randomly selected with a mean less than 961 dollars P M 961 Enter your answers as numbers accurate to 4 decimal places

Based on historical data your manager believes that 32 of the company s orders come from first time customers A random sample of 124 orders will be used to estimate the proportion of first time customers What is the probability that the sample proportion is less than 0 3 Note You should carefully round any z values you calculate to 4 decimal places to match wamap s approach and calculations Enter your answer as a number accurate to decimal al Answer

A population of values has a normal distribution with 136 9 and o 64 1 You intend to draw a random sample of size n 129 What is the mean of the distribution of sample means H What is the standard deviation of the distribution of sample means i e the standard error Report answer accurate to 2 decimal places

The heights of adult men in America are normally distributed with a mean of 69 7 inches and a standard deviation of 2 63 inches The heights of adult women in America are also normally distributed but with a mean of 64 2 inches and a standard deviation of 2 57 inches a If a man is 6 feet 3 inches tall what is his z score to two decimal places Z b What percentage of men are SHORTER than 6 feet 3 inches Round to nearest tenth of a percent c If a woman is 5 feet 11 inches tall what is her z score to two decimal places Z d What percentage of women are TALLER than 5 feet 11 inches Round to nearest tenth of a percent e Who is relatively taller a 6 3 American man or a 5 11 American woman Defend your choice in a meaningful sentence

Intervals Question 30 Part 1 of 3 A researcher wishes to estimate with

On a nationwide math test the mean was 69 and the standard deviation was 7 If Roberto scored 85 what was his z score

K Question 17 6 2 19 T Part 1 of 3 In a random sample of seven cell phones the m 154 00 Assume the population is normally dist construct a 90 confidence interval for the popu