The mean age of a sample of20 people who were playing the slot machines is51.7years, and the standard deviation is6.8 years. The mean age of a sample of32 people who were playing roulette is54.3 with a standard deviation of3.2years. Can it be concluded at =0.05 that 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.