Identifying Hypotheses and Distributions Based on the given conditions, identify the alternative hypothesis and the sampling distribution (normal, t, chi-square) of the test statistic.

a. Claim: The mean annual income of full-time college students is below $10,000.

Sample data: For 750 randomly selected college students, the mean is $3662 and the standard deviation is $2996.

b. Claim: With manual assembly of telephone parts, the assembly times vary more than the times for automated assembly, which are known to have a mean of 27.6 sec and a standard deviation of 1.8 sec.

c. Claim: The majority of college students are women. Sample data: Of 500 randomly selected college students, 58% are women.

d. Claim: When a group of adult survey respondents is randomly selected, their mean IQ is equal to 100. Sample data: n 5 150 and 5 98.8. It is reasonable to assume that s 5 15.