Question

You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.

      Ho:μ=57.6Ho:μ=57.6
      Ha:μ≠57.6Ha:μ≠57.6

You believe the population is normally distributed and you know the standard deviation is σ=16.7σ=16.7. You obtain a sample mean of ¯x=53x¯=53for a sample of size n=52n=52.

What is the critical value for this test? (Report answer accurate to two decimal places.)
critical value =

What is the standardized test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

The test statistic is...

in the critical region

not in the critical region

This test statistic leads to a decision to...

reject the null

accept the null

fail to reject the null

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 57.6.

There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 57.6.

The sample data support the claim that the population mean is not equal to 57.6.

There is not sufficient sample evidence to support the claim that the population mean is not equal to 57.6.

Answer 1

the critical value for this test  ...............by using z table for two tailed alternative hypothesis

We have given,

Population mean for given example =57.6

Sample mean= 53

Population standard deviation = 16.7

Sample size for given example = 52

the standardized test statistic for this sample

=-1.986

Z test statistic formula=-1.986

The test statistic is...

not in the critical region

fail to reject the null

There is not sufficient sample evidence to support the claim that the population mean is not equal to 57.6.