Question 6 Background : Name That Scenario: Adopting Pets One Important aspect In statistics is to understand which statistical methods or procedures are appropriate to use to address the research problem or question 01 Interest. For each description of a research question below, select the one corresponding statistical analysis technique most appropriate for addressing that research question. Question 6 Subquestions 6.a 1 polntts] An employee who has Just been put in charge of the pet adoption fundraiser thinks that a personal phone call will bring In more monetary contnbutlons, on average, than sending a personal mailing for all recent adopters. 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 mailing with a donation request. She will record and compare e on on amou n o are . '- th u a nts I d ll Simple linear regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test tor the comparison of two population means One-sample z-test for a population proportion Two-sample z-test for the comparison at two population proportions Chi-squared test of goodness of fit Chi-squared test of independence 6b 1 polntls] Are cats of different colors adopted equally often? An employee randomly picks the adoption les of 120 cats. They then count the number of cats of each color (white, grey, orange, brown, black) In the sample 01 120. 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 at two population proportions Chi-squared test of goodness of fit Chi-squared test of independence 1 polnt{s] 6.d 1 polnt{s] HA In the past, the average time to complete a pet adoption for walk-In visitors has been 90 minutes. Some recent updates to the pet adoption process have been implemented In hopes to reduce that time, on average. A random sample 01 30 recent adopters will be selected and their time to complete the adoption process will be recorded {In minutes). The results will be used to assess If the updates have reduced the average time to complete an adoption. Slmple linear regression One-sample t-test for a population mean Paired t-test tor a population mean difference Two-sample t-test tor the comparison 01 two population means One-sample z-test for a population proportion Two-sample z-test for the comparison of two population proportions Chi-squared test of goodness 01 fit Chi-squared test of Independence In another study, a random sample of 30 adopters 01 cats will be selected as well as an Independent random sample of 30 adopters of dogs and each will be given a coupon to retum for a free health checkup for their new pet that is good for 60 days. The results will he used to assess if the percentage of dog adopters who make use of the free health checkup ls higher than the percentage of cat adopters who make use of the free health checkup. Slmple linear regression One-sample t-test for a population mean Paired t-test tor a population mean difference Two-sample t-test tor the comparison 01 two population means One-sample z-test for a population proportion Two-sample z-test for the comparison of two population proportions Chi-squared test of goodness 01 fit Chi-squared test of Independence 6.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 O One-sample z-test for a population proportion O Two-sample z-test for the comparison of two population proportions O Chi-squared test of goodness of fit O Chi-squared test of independence 6.f 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. O Simple linear regression One-sample t-test for a population mean Paired t-test for a population mean difference O 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 O Chi-squared test of goodness of fit O Chi-squared test of independence1 polnt{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 nexttwo meals where one meal will be wet dog food and the other meal will be dry dog food. A coin will be flipped to deterrnlne 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 nish their meet 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 Chi-squared test of goodness of fit Chi-squared test of Independence