A sample standard deviation and sample size are given Use th

A sample standard deviation and sample size are given. Use the one-standard-deviation ?2-test to conduct the required hypothesis test.

s = 13.1, n = 22
H0: ? = 16.1, Ha: ? < 16.1, ? = 0.01

Solution

A sample standard deviation and sample size are given. Use the one-standard-deviation ?2-test to conduct the required hypothesis test.

s = 13.1, n = 22
H0: ? = 16.1, Ha: ? < 16.1, ? = 0.01

Test statistic: X2 = 13.903. Critical value = 38.932. Reject H0.

Test statistic: X2 = 13.903. Critical value = 8.897. Do not reject H0.

Test statistic: X2 = 13.903. Critical value = 8.897. Reject H0.

Test statistic: X2 = 13.903. Critical value = 38.932. Do not reject H0.

Chi-Square Test of Variance

Data

Null Hypothesis                        s^2=

259.21

Level of Significance

0.01

Sample Size

22

Sample Standard Deviation

13.1

Intermediate Calculations

Degrees of Freedom

21

Half Area

0.005

Chi-Square Statistic

13.9031

Lower-Tail Test

Lower Critical Value

8.8972

p-Value

0.1263

Do not reject the null hypothesis