A company tests its new novice product inspectors by compari

A company tests its new novice product inspectors by comparing the variability in the number of defective items spotted by its novice inspectors to the variability in the number of defective items spotted by its expert product inspectors. The company wants to determine whether there is a difference in the variability of the number of defective items spotted by its novice and expert product inspectors. Given the Exel results provided above, if the company uses the .10 level of significance, the correct conclusion of this hypothesis test is: Since the one-tail p-value is .0955, the correct conclusion is to reject the null hypothesis test at the .10 level of significance, there is sufficient evidence to suggest there is a difference in the variability of the novice and expert product inspectors. Since the two-tail p-value is .0955, the correct conclusion is to reject the null hypothesis test at the .10 level of significance, there is sufficient evidence to suggest there is a difference in the variability of the novice and expert product inspectors. Since the one-tail p-value is .0955, the two-tail p-value is . 1910, so the correct conclusion is to fail to reject the null hypothesis test at the . 10 level of significance, there is not sufficient evidence to suggest there is a difference in the variability of the novice and expert product inspectors. None of the above.

Solution

Actually for two tailed tests such as here it is customary to find out two tailed p-value and compare it with the given level of significance, If the p-value is less than the level of significance we reject the null hypothesis and if the p-value is greater than the level of significance we accept the null hypothesis.

Here the one tailed p-value is .0955 hence the 2 tailed p-value is .1910>.10, .10 being the level fo significance. Hence by above stated rule we fail to reject the null hypothesis at .10 level of significance as there is not sufficient evidence to suggest there is a difference in variability of the novice & experienced product inspectors.