Student advisors are interested in determining if the variances of the scores of day students and night students are the same. The following samples are drawn. Day (population 1): n1 = 25, s1 = 9.8; Night (population 2): n2 = 31, s2 = 14.7. Let and o2 be the respective population standard deviation. We want to test the null hypothesis that of = o, with 0.05 as significant level. Use Sf/s5 as your test statistic. Please answer the following questions using decimal. Do NOT use, for example, "10.2%" as your answer. Instead, type 0.102 as your answer. The observed value of the test statistic is 2.25 . (round to the nearest ten thousandth) The p-value of this hypothesis test is 0.977 (round to the nearest thousandth) The smaller critical value of the test statistic is 0.468 . (round to the nearest thousandth) The larger critical value of the test statistic is 2.209 (round to the nearest thousandth)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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ANswer Question 4 with all four parts including an explaination. Please ignore my claculations and the answers that I have posted in the blanks. 

Student advisors are interested in determining if the variances of the scores of day students and night students are the same. The following samples are drawn. Day (population 1): n1 = 25, s1 = 9.8; Night (population 2): n2 = 31, s2 = 14.7. Let
and o2 be the respective population standard deviation.
We want to test the null hypothesis that of = o, with 0.05 as significant level. Use Sf/s5 as your test statistic. Please answer the following questions using decimal. Do NOT use, for example, "10.2%" as your answer. Instead, type 0.102 as your answer.
The observed value of the test statistic is 2.25
. (round to the nearest ten thousandth)
The p-value of this hypothesis test is 0.977
(round to the nearest thousandth)
The smaller critical value of the test statistic is 0.468
. (round to the nearest thousandth)
The larger critical value of the test statistic is 2.209
(round to the nearest thousandth)
Transcribed Image Text:Student advisors are interested in determining if the variances of the scores of day students and night students are the same. The following samples are drawn. Day (population 1): n1 = 25, s1 = 9.8; Night (population 2): n2 = 31, s2 = 14.7. Let and o2 be the respective population standard deviation. We want to test the null hypothesis that of = o, with 0.05 as significant level. Use Sf/s5 as your test statistic. Please answer the following questions using decimal. Do NOT use, for example, "10.2%" as your answer. Instead, type 0.102 as your answer. The observed value of the test statistic is 2.25 . (round to the nearest ten thousandth) The p-value of this hypothesis test is 0.977 (round to the nearest thousandth) The smaller critical value of the test statistic is 0.468 . (round to the nearest thousandth) The larger critical value of the test statistic is 2.209 (round to the nearest thousandth)
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