A high school principal claims that the variance in the GPA of students in the graduating class iS Tess than 0.39. You test this claim by sampling 31 seniors and find their GPA have a variance or 0.21. 8. Ho:o2 = 0.39 Ha: o2 < 0.39 (Claim) Is there enough evidence to reject Ho and support the principal's claim at a 0.10 level of significance? A. No, the test statistic x? B. No, the test statistic x? C. Yes, the test statistic x2 = 20.599 is in the rejection region with critical value 16.154 D. No, the test statistic x2 = 21.434 is not in the rejection region with critical value 20.599 E. Yes, the test statistic x2 = 16.154 is in the rejection region with critical value 20.599 20.599 is not in the rejection region with critical value 21.434 = 16.154 is not in the rejection region with critical value 40.256

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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8.
A high school principal claims that the variance in the GPA of students in the graduating class is
Tess than 0.39. You test this claim by sampling 31 seniors and find their GPA have a variance of
0.21.
Ho:o2 = 0.39
Ha:o² < 0.39 (Claim)
%3D
Is there enough evidence to reject Ho and support the principal's claim at a 0.10 level of
significance?
A. No, the test statistic x? = 20.599 is not in the rejection region with critical value 21.434
B. No, the test statistic x2 = 16.154 is not in the rejection region with critical value 40.256
C. Yes, the test statistic x2 = 20.599 is in the rejection region with critical value 16.154
D. No, the test statistic x2 = 21.434 is not in the rejection region with critical value 20.599
E. Yes, the test statistic x? = 16.154 is in the rejection region with critical value 20.599
Transcribed Image Text:8. A high school principal claims that the variance in the GPA of students in the graduating class is Tess than 0.39. You test this claim by sampling 31 seniors and find their GPA have a variance of 0.21. Ho:o2 = 0.39 Ha:o² < 0.39 (Claim) %3D Is there enough evidence to reject Ho and support the principal's claim at a 0.10 level of significance? A. No, the test statistic x? = 20.599 is not in the rejection region with critical value 21.434 B. No, the test statistic x2 = 16.154 is not in the rejection region with critical value 40.256 C. Yes, the test statistic x2 = 20.599 is in the rejection region with critical value 16.154 D. No, the test statistic x2 = 21.434 is not in the rejection region with critical value 20.599 E. Yes, the test statistic x? = 16.154 is in the rejection region with critical value 20.599
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