The producer of a certain bottling equipment claims that the variance of all their filled bottles is .027 or less. A sample of 30 bottles showed a standard deviation of .2 ounces. The p-value for the test is
A) between .025 to .05.
B) between .05 to .10.
C) .05.
D) .025.

Question

Quizplus · Accepted Answer

The p-value is determined by conducting a chi-square test for variance. Given the sample size (n = 30), the sample standard deviation (.2 ounces), and the claim that the population variance is .027 or less, the calculated chi-square statistic would be compared against the chi-square distribution to find the p-value. The specific p-value cannot be calculated without performing the actual calculations, but given the options, a p-value between .025 to .05 suggests that the sample variance significantly differs from the claimed variance, indicating evidence against the null hypothesis at a common significance level (e.g., .05).

The Producer of a Certain Bottling Equipment Claims That the Variance