# Question: Let X1 X2 Xn be a random sample

Let X1, X2, ... , Xn be a random sample of size n from the normal distribution N(μ, σ2). Calculate the expected length of a 95% confidence interval for μ, assuming that n = 5 and the variance is

(a) Known.

(b) Unknown.

(a) Known.

(b) Unknown.

**View Solution:**## Answer to relevant Questions

Let S2 be the variance of a random sample of size n from N(μ, σ2). Using the fact that (n − 1)S2/σ2 is χ2(n−1), note that the probability Where Rewrite the inequalities to obtain If n = 13 and Show that [6.11, ...Twenty-four 9th- and 10th-grade high school girls were put on an ultra-heavy rope-jumping program. The following data give the time difference for each girl (“before program time” minus “after program time”) for the ...A candy manufacturer selects mints at random from the production line and weighs them. For one week, the day shift weighed n1 = 194 mints and the night shift weighed n2 = 162 mints. The numbers of these mints that weighed at ...When placed in solutions of varying ionic strength, paramecia grow blisters in order to counteract the flow of water. The following 60 measurements in microns are blister lengths: (a) Construct an ordered stem-and-leaf ...Obtain a two-sided 100(1 − γ)% prediction interval for the average of m future independent observations taken at the same X-value, x∗.Post your question