Suppose x has a distribution with 𝜇 = 17 and 𝜎 = 16. A button hyperlink to the SALT program that reads: Use SALT. (a) If

[answerhappygod]

Suppose x has a distribution with 𝜇 = 17 and 𝜎 = 16. A buttonhyperlink to the SALT program that reads: Use SALT. (a) If a randomsample of size n = 47 is drawn, find 𝜇x, 𝜎 x and P(17 ≤ x ≤ 19).(Round 𝜎x to two decimal places and the probability to four decimalplaces.) 𝜇x = 𝜎 x = P(17 ≤ x ≤ 19) = (b) If a random sample of sizen = 72 is drawn, find 𝜇x, 𝜎 x and P(17 ≤ x ≤ 19). (Round 𝜎 x to twodecimal places and the probability to four decimal places.) 𝜇x = 𝜎x = P(17 ≤ x ≤ 19) = (c) Why should you expect the probability ofpart (b) to be higher than that of part (a)? (Hint: Consider thestandard deviations in parts (a) and (b).) The standard deviationof part (b) is ---Select--- part (a) because of the ---Select---sample size. Therefore, the distribution about 𝜇x is