Are students as consistent with their study time as they are with leisure time? Many researchers worry that the amount of time students spend studying varies dramatically compared with the amount of time an individual spends doing leisure activities (playing games, watching movies, sports, etc.) on a daily basis. To determine whether this is the case, a study was conducted with two independent student groups. The first group consisted of a random sample of 10 students who were asked the amount of time (in hours) they spend studying daily. The group gave the following results: 3 2 1 4 1 2 5 3 5 1 The second group consisted of a random sample of 9 students who were asked the amount of time (in hours) they spend doing leisurely activities daily. The group gave the following results. 4 3 4 2 5 3 5 5 4 Test the claim that the population variance students spend studying is greater than the population variance students spend doing leisure activities. Use a 5% level of significance. What is the level of significance? State the null and alternate hypotheses. Find the value of the sample F statistic. What are the degrees of freedom? What assumptions are you making about the original distribution? Find or estimate the P-value of the sample test statistic. Based on your answers in parts (a) through (c), will you reject or fail to reject the null hypothesis? Interpret your conclusion in the context of the application

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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Are students as consistent with their study time as they are with leisure time? Many researchers worry that the amount of time students spend studying varies dramatically compared with the amount of time an individual spends doing leisure activities (playing games, watching movies, sports, etc.) on a daily basis. To determine whether this is the case, a study was conducted with two independent student groups. The first group consisted of a random sample of 10 students who were asked the amount of time (in hours) they spend studying daily. The group gave the following results:

The second group consisted of a random sample of 9 students who were asked the amount of time (in hours) they spend doing leisurely activities daily. The group gave the following results.

Test the claim that the population variance students spend studying is greater than the population variance students spend doing leisure activities. Use a 5% level of significance.

What is the level of significance? State the null and alternate hypotheses.
Find the value of the sample F statistic. What are the degrees of freedom? What assumptions are you making about the original distribution?
Find or estimate the P-value of the sample test statistic.
Based on your answers in parts (a) through (c), will you reject or fail to reject the null hypothesis?
Interpret your conclusion in the context of the application.

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