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A bottler wants to verify the claim that the 12-ounce bottles they fill with sod

ID: 3231098 • Letter: A

Question

A bottler wants to verify the claim that the 12-ounce bottles they fill with soda have a standard deviation of less than 0.03 ounces. A sample of 10 bottles is selected which contain the following amounts in ounces: 11.97, 12.06, 12.10, 11.98, 11.98, 12.03, 12.02, 11.93, 12.00, 11.95 At a level of significance of the decision is: A. Do not reject the null hypothesis because the test value is in the noncritical region. B. Reject the null hypothesis because the test value is greater than the critical value. C. Reject the null hypothesis because the test value is in the noncritical region. D. Do not reject the null hypothesis because the test value is in the rejection region.

Explanation / Answer

The statistical software output for this problem is:

One sample variance hypothesis test:
2 : Variance of variable
H0 : 2 = 0.0009
HA : 2 < 0.0009

Hypothesis test results:

Hence,

Do not reject the null hypothesis because the test value is in the noncritical region.

Option A is correct.

Variable Sample Var. DF Chi-Square Stat P-value var4 0.0026622222 9 26.622222 0.9984
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