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 : ≠$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. 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 .(2) do a normal probability calculation to find the p‑value. a. 0.2302b. 0.1151c. 0.7794d.0.3849