To test HO: σ=2.1versus H1: σ<2.1, a random sample of size n=21 is obtained from a population that is known to be normally distributed If the sample standard deviation is determined to be s=1.9, compute the test statistic. X20 If the researcher decides to test this hypothesis at the a=0.05 level of significance, determine the critical value. Draw a chi-squared distribution and depict the critical region Will the researcher reject the null hypothesis? Why? Choose the correct answer below. A. Yes, because X20X20.95. D. Yes, because X20>X20.95

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.CR: Chapter 13 Review
Problem 58CR
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To test HO: σ=2.1versus H1: σ<2.1, a random sample of size n=21 is obtained from a population that is known to be normally distributed.
If the sample standard deviation is determined to be s=1.9, compute the test statistic. X20
If the researcher decides to test this hypothesis at the a=0.05 level of significance, determine the critical value.
Draw a chi-squared distribution and depict the critical region
Will the researcher reject the null hypothesis? Why? Choose the correct answer below.
A. Yes, because X20<x20.95.
B. No, because X20<x20.95.
C.No, because X20>X20.95.
D. Yes, because X20>X20.95
Transcribed Image Text:To test HO: σ=2.1versus H1: σ<2.1, a random sample of size n=21 is obtained from a population that is known to be normally distributed. If the sample standard deviation is determined to be s=1.9, compute the test statistic. X20 If the researcher decides to test this hypothesis at the a=0.05 level of significance, determine the critical value. Draw a chi-squared distribution and depict the critical region Will the researcher reject the null hypothesis? Why? Choose the correct answer below. A. Yes, because X20<x20.95. B. No, because X20<x20.95. C.No, because X20>X20.95. D. Yes, because X20>X20.95
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