The mean age of a sample of24 people who were playing the slot machines is50.9

years, and the standard deviation is6.8 years. The mean age of a sample of31 people who were playing roulette is52.8 with a standard deviation of3.2 years. Can it be concluded at = 0.10that the mean age of those playing the slot machines is less than those playing roulette? Use1 for the mean age of those playing slot machines. Assume the variables are normally distributed and the variances are unequal.

(a)State the hypotheses and identify the claim with the correct hypothesis.

(b)Find the critical value(s).

(c)Compute the test value.

(d)Make the decision.

(e)Summarize the results.