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Among a random sample of 37 smokers, the average number of cigarettes smoked per day per...

Among a random sample of 37 smokers, the average number of cigarettes smoked per day per person is 22.0 with a standard deviation of 10.8. Perform a test of significance to determine if it is likely that on average smokers will smoke more than 17 cigarettes a day.

a) H_0: mu (=, >, <, or not equal to)  17

H_a: mu (=, >, <, or not equal to)  17

b) Is the CLT for means valid? (yes/no)

c) Calculate the test statistic  (use 4 decimal places for all calculations)

d) Calculate the p-value as accurately as table III allows.

e) At the alpha = .01 level do we reject or fail to reject the null hypothesis? (reject or fail to reject)

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