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:**

*z*critical left = -2.33

*z*critical right = 2.33

**Explanation:**

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

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