Question

Construct the confidence interval for the population mean mu. cequals0.98​, x overbar equals 5.8​, sequals0.5​, and nequals55

Answer 1

Given

1-c=0.98 . Hence , is the significance level.

Here i.e n is large. So we need not worry about assumption of normal distribution. Since population variance is unknown we use the quantity and we have the two sided Confidence interval given as

Now,

is the required C.I.

We could have also used t distribution but here populations needs to be normally distributed . Answers will be approximately equal in both the cases. The C.I in this case is