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Mathematics, 11.03.2020 05:30 mrmendrala

The average income of American women who work full‑time and have only a high school degree is $35,713 . You wonder whether the mean income of female graduates from your local high school who work full‑time but have only a high school degree is different from the national average. You obtain income information from an STS of 62 female graduates who work full‑time and have only a high school degree and find that x¯=$35,053 . For the provided example, the hypotheses you test is H0:=$35,713 vs H:≠$35,713 .The P‑value in the given example is the probability (taking the null hypothesis =0 to be true) that x⎯⎯⎯ takes a value at least as far from 0 in either direction as 17 .For this exercise, x⎯⎯⎯=17 , =60 and the sample size is 18 .(1).What is the sampling distribution of x⎯⎯⎯ when =0 ?A. Normal with mean 1.1 and standard deviation 3.3333 .B. Normal with mean 0 and standard deviation 60 .C. Normal with mean 17 and standard deviation 0.1852 .D. Normal with mean 0 and standard deviation 14.1421 .

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