Question

A random sample of 101 observations produced a sample mean of 33. Find the critical and observed values of z for the following test of hypothesis using α=0.02. The population standard deviation is known to be 6 and the population distribution is normal.

H0: μ=28 versus H1: μ≠28.

Round your answers to two decimal places.

z_{critical left} =

z_{critical right} =

z_observed =

Answer 1

Given:

H0: μ=28 versus H1: μ≠28.

Tailed test = two-tailed test

Sample size n = 101

The sample mean = 33

Population standard deviation = 6

Significance level = 0.02

Test statistics:

zcritical left = -2.33

zcritical right = 2.33

Explanation:

we can find it using excel formula: =NORM.S.INV(0.02/2) = 2.33