Question

I. State null and alternative hypotheses.

II. Decide on the significance level, α.

III. Compute the value of the test statistic.

IV. Determine the critical value(s).

V. If the value of the test statistic falls in the rejection region, reject H₀.

VI. Interpret the result of the hypothesis test.

Question:

. A manufacturer claims that the thickness of the spearmint gum it produces is 7.5 one-hundredths of an inch. A quality control specialist regularly checks this claim. On one production run, he took a random sample of n = 10 pieces of gum and measured their thickness. He obtained the following data (in one-hundredths). Perform an appropriate hypothesis test using a significance level of 5%. Note: show all work including the sample mean and sample standard deviation which is not given in this problem.

7.65	7.60	7.65	7.70	7.55
7.55	7.40	7.45	7.45	7.50

Answer 1