Suppose x has a distribution with μ = 82 and σ = 13. (a) Ifrandom samples of size n = 16 are selected, can we say anythingabout the x distribution of sample means? Yes, the x distributionis normal with mean μ x = 82 and σ x = 0.8. No, the sample size istoo small. Yes, the x distribution is normal with mean μ x = 82 andσ x = 3.25. Yes, the x distribution is normal with mean μ x = 82and σ x = 13. (b) If the original x distribution is normal, can wesay anything about the x distribution of random samples of size 16?Yes, the x distribution is normal with mean μ x = 82 and σ x =3.25. No, the sample size is too small. Yes, the x distribution isnormal with mean μ x = 82 and σ x = 0.8. Yes, the x distribution isnormal with mean μ x = 82 and σ x = 13. Find P(78 ≤ x ≤ 83). (Roundyour answer to four decimal places.)
