One important aspect in statistics is to understand which statistical methods or procedures are appropriate to use to address the research problem or question of interest. For each description of a research question below, select the one corresponding statistical analysis technique most appropriate for addressing that research question. Question 8 Subquestions 8.a 1 point(s) An employee who has just been put in charge of the pet adoption fundraiser thinks that a personal phone call to recent adopters asking for a donation will bring in more monetary contributions, on average, than sending recent adopters a personal mailing asking for a donation. She plans to randomly select 25 recent adopters to reach out for donations with a personal phone call and will randomly select another 25 recent adopters to send a personal note with a donation request. She will record and compare the donation amounts (in dollars). Simple linear regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test for the comparison of two population means One-sample z-test for a population proportion Two-sample z-test for the comparison of two population proportions ANOVA for comparing many population means Chi-squared test of goodness of fit Chi-squared test of independence Chi-squared test of homogeneity One-sample Binomial test for a population proportion 8.b 1 point(s) In the past, the average time to complete pet adoption for walk in visitors has been about 90 minutes. Some recent updates to the pet adoption process have been implemented in hopes to reduce that time, on average. A random sample of 30 recent adopters will be selected and their time to complete the adoption will be recorded (in minutes). The results will be used to assess if the updates have reduced the average time to complete adoption. Simple linear regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test for the comparison of two population means One-sample Z-test for a population proportion Two-sample Z-test for the comparison of two population proportions ANOVA for comparing many population means Chi-squared test of goodness of fit Chi-squared test of independence Chi-squared test of homogeneity One-sample Binomial test for a population proportion 8.c 1 point(s) Feeding time at the pet adoption facility can take a lot of time. An employee thinks that dogs will eat their meal more quickly if fed wet dog food as compared to dry dog food. A random sample of 15 dogs will be selected and each fed over the next two meals where one meal will be wet dog food and the other meal will be dry dog food. A coin will be flipped to determine which type of food will be given first. The time (in minutes) for the dog to finish their meal will be recorded. The results will be used to assess if dogs finish their meal more quickly when fed wet dog food as compared to dry dog food, on average. Simple linear regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test for the comparison of two population means One-sample Z-test for a population proportion Two-sample Z-test for the comparison of two population proportions ANOVA for comparing many population means Chi-squared test of goodness of fit Chi-squared test of independence Chi-squared test of homogeneity One-sample Binomial test for a population proportion 8.d 1 point(s) In another study, a random sample of 30 adopters of a cat will be selected as well as an independent random sample of 30 adopters of a dog and each will be given a coupon to return for a free health checkup for their new pet that is good for 60 days. The results will be used to assess if the percentage of dog adopters who make use of the free health checkup is higher than the percentage of cat adopters who make use of the free health checkup. Simple linear regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test for the comparison of two population means One-sample Z-test for a population proportion Two-sample Z-test for the comparison of two population proportions ANOVA for comparing many population means Chi-squared test of goodness of fit Chi-squared test of independence Chi-squared test of homogeneity One-sample Binomial test for a population proportion 8.e 1 point(s) Do seasons influence the type of pet people adopt? A researcher is interested in finding out whether there is a relationship between the type of pet adopted (dog, cat, bird, etc.) and the season (winter, spring, summer, fall) during which such pet would be adopted. He randomly selects 200 adoption files from the humane society and records the season and pet type for each of the 200 adoptions. Simple linear regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test for the comparison of two population means One-sample Z-test for a population proportion Two-sample Z-test for the comparison of two population proportions ANOVA for comparing many population means Chi-squared test of goodness of fit Chi-squared test of independence Chi-squared test of homogeneity One-sample Binomial test for a population proportion 8.f 1 point(s) Are cats of different colors adopted equally often? An employee randomly picks the adoption files of 120 cats. They then count the number of cats of each (predominant) color (white, grey, orange, brown, black) in the sample of 120. Simple linear regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test for the comparison of two population means One-sample Z-test for a population proportion Two-sample Z-test for the comparison of two population proportions ANOVA for comparing many population means Chi-squared test of goodness of fit Chi-squared test of independence Chi-squared test of homogeneity One-sample Binomial test for a population proportion 8.g 1 point(s) An employee wonders if the average number of days a dog spends in the humane society until adoption is different based on the dog's size (small, medium, large). She selects a random sample of 23 small dogs, a random sample of 34 medium dogs, and a random sample of 45 large dogs from the humane society records and records the number of days each dog spent in humane society until being adopted. Simple linear regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test for the comparison of two population means One-sample Z-test for a population proportion Two-sample Z-test for the comparison of two population proportions ANOVA for comparing many population means Chi-squared test of goodness of fit Chi-squared test of independence Chi-squared test of homogeneity One-sample Binomial test for a population proportion 8.h 1 point(s) A manager would like to know whether there is a significant positive linear relationship between a dog's age and the number of information requests the humane society receives about that dog from potential adopters. Simple linear regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test for the comparison of two population means One-sample Z-test for a population proportion Two-sample Z-test for the comparison of two population proportions ANOVA for comparing many population means Chi-squared test of goodness of fit Chi-squared test of independence Chi-squared test of homogeneity One-sample Binomial test for a population proportion

Single Factor ANOVA focuses on a comparison of: O two or more population variances two population or treatment means more than two population or treatment means a single factor mean Notation: The number of populations, or treatments, compared in Single Factor ANOVA is represented by the capital letter The number of observations In each sample, or treatment group, Is represented by the letter and subscript (format: letter_subscript), excluding dots j J Match the following: represents the grand mean represents the sample mean of treatment i represents the joon observation in the ith treatment group .Single Factor ANOVA focuses on a comparison of: O more than two population or treatment means O two population or treatment means a single factor mean two or more population variances X Notation: The number of populations, or treatments, compared in Single Factor ANOVA is represented by the capital letter K X . The number of observations in each sample, or treatment group, is represented by the capital letter N X . Match the following: Xi,j represents the jth observation in the ith treatment group + x.. represents the sample mean of treatment i Xi represents the grand mean X1. Calculate {by hand] the mean and standard deviation forthe binomial distribution with the probability of a success being 0.50 and n = ID. Either show work or explain howI your answer was calculated. Use these formulasto dothe hand calculations: Mean = no. Standard Deviation = Comparison: 1 Calculate {by hand] the mean and standard deviation forthe binomial distribution with the probability of a success being 0.10 and n = 10. IIl'lirite a comparison ofthese statistics to those from question 5 in a short paragraph of several complete sentences. Use these formulas to do the hand calculations: Mean = np. Standard Deviation = Comparison: 3. Calculate {by hand] the mean and standard deviation forthe binomial distribution with the probability of a success being 0.91] and n = ll]. IIl'lirite a comparison ofthese statistics tothose from question 6 in a short paragraph of several complete sentences. Use these formulas to do the hand calculations: Mean = np. Standard Deviation = 5. A research study is done to see if patients have more complications after surgery if performed as outpatient than if they are kept in the hospital. Two samples were taken. The number of complications was recorded for a sample of patients (Group 1) kept in the hospital after a particular minor surgery. The number of complications was recorded for an entirely different sample of patients (Group 2) sent home for recovery after the same type of surgery. (a) State the Null Hypothesis (b) State the Alternative Hypothesis (c) What would be the appropriate type of Hypothesis Test to use and why? Choose from: A. One sample comparison of mean (1 Sample T-Test) B. Two sample comparison of dependent means (Paired T-Test) C. Two sample comparison of independent means (2 Sample T- Test) D. Multiple independent samples comparison of means (Analysis of Variance (ANOVA))