Question

A potato chip company makes potato chips in two flavors, Regular and Salt & Vinegar. Riley is a production manager for the company who is trying to ensure that each bag contains about the same number of chips, regardless of flavor. He collects two random samples of 10 bags of chips of each flavor and counts the number of chips in each bag. Assume that the population variances of the number of chips per bag for both flavors are equal and that the number of chips per bag for both flavors are normally distributed. Let the Regular chips be the first sample, and let the Salt & Vinegar chips be the second sample. Riley conducts a two-mean hypothesis test at the 0.05 level of significance, to test if there is evidence that both flavors have the same number of chips in each bag.

(a) Which answer choice shows the correct null and alternative hypotheses for this test?

H0:μ1≠μ2; Ha:μ1=μ2, which is a two-tailed test.

H0:μ1=μ2; Ha:μ1<μ2, which is a left-tailed test.

H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailed test.

H0:μ1=μ2; Ha:μ1>μ2, which is a right-tailed test.

Answer 1

Solution :

This is the two tailed test .

The correct null and alternative hypotheses for this test is :

H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailed test.