State the null hypothesis, Ho, and the alternative hypothesis, Ha, that would be

Question

State the null hypothesis, Ho, and the alternative hypothesis, Ha, that would be used for a hypothesis test for the following statements:

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

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

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

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

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

Explanation / Answer

A) Ho:the mean age of the youths who hang out at the mall is greater than or equal to 16 years. Ha:The mean age of the youths who hang out at the mall is less than 16 years. b. Ho: The mean height of professional basketball players is less than or equal to 6'6". Ha: The mean height of professional basketball players is greater than 6'6". c. Ho: The mean elevation drop for ski trails at eastern ski centers is less than 285 feet. Ha:The mean elevation drop for ski trails at eastern ski centers is at least 285 feet. d. Ho:The mean diameter of the rivets is greater than 0.375 inches. Ha: The mean diameter of the rivets is no more than 0.375 inches. e. Ho: The mean cholesterol level of male college students is not different from 200 mg/dl. Ha:The mean cholesterol level of male college students is different from 200 mg/dl. The alternative hypothesis would be what the test is trying to establish so in these cases it would be very similar to the statements. The null hypothesis is the statement that is actually going to be tested, so to reject the null would then allow you to accept the alternative hypothesis.

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