Ages of Gamblers The mean age of a sample of 20 people who were playing the slot machines is 48.5 years, and the standard deviation is 6.8 years. The mean age of a sample of 31 people who were playing roulette is 54 with a standard deviation of 3.2 years. Can it be concluded at α=0.10 that the mean age of those playing the slot machines is less than those playing roulette? Use μ1 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. H0: claim/not claim H1: claim/not claim This hypothesis test is a one-tailed/two tailed. P-value: = (b)Find the critical value(s). Round the answer(s) to two decimal places. If there is more than one critical value, separate them with commas. Critical value(s): (c)Compute the test value. Round the intermediate calculations to at least three decimal places and final answer to two decimal places. z= (d)Make the decision. Reject/do not reject the null hypothesis.
Ages of Gamblers The mean age of a sample of 20 people who were playing the slot machines is 48.5 years, and the standard deviation is 6.8 years. The mean age of a sample of 31 people who were playing roulette is 54 with a standard deviation of 3.2 years. Can it be concluded at α=0.10 that the mean age of those playing the slot machines is less than those playing roulette? Use μ1 for the mean age of those playing slot machines. Assume the variables are
(a)State the hypotheses and identify the claim with the correct hypothesis.
H0: claim/not claim
H1: claim/not claim
This hypothesis test is a one-tailed/two tailed.
P-value: =
(b)Find the critical value(s). Round the answer(s) to two decimal places. If there is more than one critical value, separate them with commas.
Critical value(s):
(c)Compute the test value. Round the intermediate calculations to at least three decimal places and final answer to two decimal places.
z=
(d)Make the decision.
Reject/do not reject the null hypothesis.
(e)Summarize the results.
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There ▼(Choose one) enough evidence to support the claim that the mean age of those playing the slot machines is less than those playing roulette.
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