please show work Consider the following hypothesis test You

please show work

Consider the following hypothesis test.

You are given the following information obtained from a random sample of six observations. Assume the population has a normal distribution.

38  40  42  32  46  42

Compute the mean of the sample

Determine the standard deviation of the sample (to 2 decimals).

Determine the standard error of the mean (to 2 decimals).

Compute the value of the test statistic (to 3 decimals).

Solution

Total numbers:6

Sample standard deviation:4.73286382648

Standard error of the mean:1.93218356616