State the null hypothesis H0 and the alternative hypothesis Ha that would be use

Question

State the null hypothesis H0 and the alternative hypothesis Ha that would be used for a hypothesis test for each of the following statements.

(a) The mean age of the youths who hang out at the mall is less than 16 years.

H0: = 16 yrs () vs. Ha: < 16 yrs

H0: = 16 yrs () vs. Ha: > 16 yrs

H0: < 16 yrs vs. Ha: < 16 yrs

H0: > 16 yrs vs. Ha: > 16 yrs

(b) The mean height of professional basketball players is greater than 6'6".

H0: = 6 ft 6 in () vs. Ha: > 6 ft 6 in

H0: > 6 ft 6 in vs. Ha: < 6 ft 6 in

H0: = 6 ft 6 in () vs. Ha: < 6 ft 6 in

H0: < 6 ft 6 in vs. Ha: > 6 ft 6 in

(c) The mean elevation drop for ski trails at eastern ski centers is at least 285 feet.

H0: = 285 ft () vs. Ha: < 285

H0: > 285 ft vs. Ha: < 285

H0: < 285 ft vs. Ha: > 285

H0: = 285 ft () vs. Ha: > 285

(d) The mean diameter of the rivets is no more than 0.375 inches.

H0: > 0.375 in vs. Ha: < 0.375 in

H0: < 0.375 in vs. Ha: > 0.375 in

H0: = 0.375 in () vs. Ha: < 0.375 in

H0: = 0.375 in () vs. Ha: > 0.375 in

(e) The mean cholesterol level of male college students is different from 200 mg/dL.

H0: = 200 mg/dL () vs. Ha: > 200 mg/dL

H0: 200 mg/dL vs. Ha: = 200 mg/dL

H0: = 200 mg/dL vs. Ha: 200 mg/dL

H0: = 200 mg/dL () vs. Ha: < 200 mg/dL

Explanation / Answer

Solution: These are the correct choices from the multiple options.

(a)H0: = 16 yrs () vs. Ha: < 16 yrs

(b)H0: = 6 ft 6 in () vs. Ha: > 6 ft 6 in

(c)H0: = 285 ft () vs. Ha: < 285

(d)H0: = 0.375 in () vs. Ha: > 0.375 in

(e)H0: = 200 mg/dL vs. Ha: 200 mg/dL

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