Question

Two production line process are being analyzed. Each production line process has an equal sample. We are looking to test for significant differences in variances. Our test statistic is 1.87. Our sample size is 60. Can we reject H0: σ 2 = σ 0 2 ? Group of answer choices Yes, using an F-Distribution, our p-value is <0.05 No, using a F-Distribution, our p-value is >0.05 A table of answers and brief statistics regarding student answer choices. Answer Text Number of Respondents Percent of respondents selecting this answer Answer Distribution Yes, using a chi-square distribution, our p-value is <0.05, (Incorrect answer)Yes, using a chi-square distribution, our p-value is <0.05 Yes, using a T-distriubtion, our p-value is <0.05

Answer 1

To test for significant differences in variances, we use the F-distribution. In this case, we have an F statistic of 1.87 and a sample size of 60. Without the p-value, we cannot determine if we can reject the null hypothesis or not.

Step-by-step explanation:

To test for significant differences in variances, we use the F-distribution. In this case, we have an F statistic of 1.87 and a sample size of 60. To determine if we can reject the null hypothesis, we compare the p-value associated with the F statistic to the significance level (usually 0.05).

If the p-value is less than the significance level, we can reject the null hypothesis. If the p-value is greater than the significance level, we fail to reject the null hypothesis. In this case, we are not provided with the p-value, so we cannot determine if we can reject the null hypothesis or not.