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Question 10 Background: Name That Scenario: Pet Adoption 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.An employee who has just been put in charge of the pet adoption fundraiser thinks that a personal phone cal to recent adopters asking for a donation wi 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 wi record and compare the donation amounts (in dollars). Simple near regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test for the comparison One-sample z-test for a population proportion Two-sample z-test for the comparison o ANOVA for compari Chi-squared test of goodness of fit of two population means ng many population means One-sample Binomial test for a population proportion10.b In the past, the average time to complete a 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 an adoption. pointis) 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 D DChi-squared test of goodness of fit DChi-squared test of independence One-sample Binomial test for a population proportion10.c Feeding time at the pet adoption faci ity 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 resulits 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. pointis) 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 D DChi-squared test of goodness of fit D Chi-squared test of independence Chi-squared test of homogeneity One-sample Binomial test for a population proportion10.d 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. pointis) Simple near regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test for the comparison One-sample Z-test for a population proportion Two-sample Z-test for the comparison o ANOVA for comparin Chi-squared test of goodness of fit of two population means two population proportions ng many population means Chi-squared test of homogeneity One-sample Binomial test for a population proportion10.e 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 near regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test for the One-sample Z-test for a population proportion Two-sample Z-test for the comparison o ANOVA for comparin Chi-squared test of goodness of fit comparison of two population means two population proportions ng many population means One-sample Binomial test for a population proportion10.f 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 pointis) Simple inear 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 DChi-squared test of goodness of fit DChi-squared test of independence Chi-squared test of homogeneity One-sample Binomial test for a population proportion10.9 An employee wonders if the average number of days a dog spends in the humane society until adoption is different based on the dogs size (small, medium, large). She selects a random sample of 23 sma 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. pointis) Simple near regression One-sample t-test for a population mean Paired t-test for a population mean difference Two-sample t-test for the One-sample Z-test for a population proportion Two-sample Z-test for the comparison o ANOVA for compari Chi-squared test of goodness of fit comparison of two population means two population proportions ng many population means Chi-squared test of homogeneity One-sample Binomial test for a population proportion0.h A manager would ke to know whether there is a significant positive linear relationship between a dogs age and the number of information requests the humane society receives about that dog from potential adopters. ointis) Simple linear regression One-sample t-test for a population mean Paired t-test for a population mean difference DTwo-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 DChi-squared test of independence Chi-squared test of homogeneity One-sample Binomial test for a population proportion

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