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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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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