Ch 12

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West Texas A&M University *

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1324

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Statistics

Date

Feb 20, 2024

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docx

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Uploaded by kylee1015

Ch 12.1 Practice Worksheet Identify if each of the following should be tested with a one sample t test, a two samples t test, an ANOVA, or linear regression. 1. Netflix wants to know if the average number of hours a user watches Netflix in a single setting is greater than 4 hours. One sample t test 2. Netflix wants to know if there is a difference in the length of time spent watching Netflix in a single sitting between males and females . Two sample t test 3. Netflix wants to know if people consume more calories while watching a movie, TV series, or documentary. anova 4. Netflix wants to know if people spend more time watching Netflix if it is streaming from a TV vs. a mobile device. Two sample t test 5. Netflix wants to know if one’s salary can predict the number of hours spent watching Netflix per week. Simple linear regression Netflix wants to know if there is a difference in the length of time spent watching Netflix in a single sitting between males and females. Suppose that Netflix samples 120 males and finds they watch Netflix for an average of 108 minutes in a single sitting. They sample 104 females and find that they watch Netflix for an average of 128 minutes in a single setting. What are the null and alternative hypotheses? H 0 : µM = µF H 1 : µM ≠ µF Suppose we test the above scenario at an α = .01. If the critical value is +/- 1.959 and our test statistic is calculated to be 2.684 with a p value of .007, what should we conclude? a. Do not reject the null. We have insufficient evidence to conclude that there is a difference in the length of time spent watching Netflix between males and females. b. Reject the null. We have insufficient evidence to conclude that there is a difference in the length of time spent watching Netflix between males and females. c. Do not reject the null. We have sufficient evidence to conclude that there is a difference in the length of time spent watching Netflix between males and females. d. reject the null. We have sufficient evidence to conclude that there is a difference in the length of time spent watching Netflix between males and females. Suppose Netflix needs to know if they need to use different marketing campaigns for different states. If one state watches Netflix less than the other state, they will use different marketing strategy. Netflix tests if there is a difference between Californians and Texans in the amount of time spent watching Netflix. Netflix samples 103 Californians and finds they watch an average of 124 minutes. Netflix samples 96 Texans and find they watch an average of 131 minutes. Netflix decides not to reject the null. What should Netflix do about their marketing campaign?

a. Employ different marketing campaigns for the two states because there is sufficient evidence that there is a difference between Californians and Texans in the amount of time spent watching b. Don’t use different marketing campaigns because there is insufficient evidence that there is a difference between Californians and Texans in the amount of time spent watching c. Employ different marketing campaigns for the two states because there is insufficient evidence that there is a difference between Californians and Texans in the amount of time spent watching d. Don’t use different marketing campaigns because there is sufficient evidence that there is a difference between Californians and Texans in the amount of time spent watching. Write the null and alternative hypothesis for the following scenario: Netflix wants to know if people consume more calories while watching a movie, TV series, or documentary. H 0 : µM = µT = µD H 1 : at least one of the means is different Suppose we test this with a Type 1 error rate (alpha, α) of .05. Our F critical value is 3.89. If our F statistic is equal to 14.5, what should we conclude? a. Reject the null. There is sufficient evidence that at least one of the groups consumes a different amount of calories than the others. b. Reject the null. There is sufficient evidence that people watching a TV series consume more calories than people watching a movie or documentary. c. Do not reject the null. There is insufficient evidence to conclude that at least of the groups consumes a different amount of calories than the others. d. Do not reject the null. There is sufficient evidence that at least one of the groups consumes a different amount of calories than the others. Suppose Netflix collects data on the salary and time spent watching Netflix from 4000 users to see if salary can predict the number of hours spent watching Netflix. After running a linear regression, Netflix decides to reject the null. What should they conclude? H 0 : ß = 0 H 1 : ß ≠ 0 a. There is insufficient evidence that number of hours spent watching Netflix depends linearly upon salary. b. There is sufficient evidence that number of hours spent watching Netflix depends linearly upon salary. c. There is insufficient evidence that salary depends linearly upon number of hours spent watching Netflix.

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