Test the claim that the mean GPA of night students is smaller than 2.2 at the 2% significance level. The population standard deviation for this group is known to be 0.12.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Test the claim that the mean GPA of night students is
smaller than 2.2 at the 2% significance level. The
population standard deviation for this group is known
to be 0.12.
The null and alternative hypotheses for this test are:
Ho: µ < 2.2 Họ: µ > 2.2
HA : μ > 2.2 HA:μ< 2.2
The test is:
right-tailed left-tailed
Based on a sample of 31 people, the sample mean
GPA was 2.17.
Hint: Before you find the p-value below, calculate
the test statistic to two decimal places.
The p-value is:
(to 4
decimals)
The significance level as a decimal is:
Based on this we
fail to reject the null hypothesis, Ho
reject the null hypothesis, Ho
The p-value for a hypothesis test turns out to be
0.06747. At a 4% level of significance, what is the
proper decision?
Reject Ho
Fail to reject Họ
Transcribed Image Text:Test the claim that the mean GPA of night students is smaller than 2.2 at the 2% significance level. The population standard deviation for this group is known to be 0.12. The null and alternative hypotheses for this test are: Ho: µ < 2.2 Họ: µ > 2.2 HA : μ > 2.2 HA:μ< 2.2 The test is: right-tailed left-tailed Based on a sample of 31 people, the sample mean GPA was 2.17. Hint: Before you find the p-value below, calculate the test statistic to two decimal places. The p-value is: (to 4 decimals) The significance level as a decimal is: Based on this we fail to reject the null hypothesis, Ho reject the null hypothesis, Ho The p-value for a hypothesis test turns out to be 0.06747. At a 4% level of significance, what is the proper decision? Reject Ho Fail to reject Họ
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