You wish to test the following claim (HaHa) at a significance level of =0.005=0.

Question

You wish to test the following claim (HaHa) at a significance level of =0.005=0.005.

      Ho:=71.6Ho:=71.6
      Ha:71.6Ha:71.6

You believe the population is normally distributed and you know the standard deviation is =10.4=10.4. You obtain a sample mean of M=69.9M=69.9 for a sample of size n=48n=48.

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

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

less than (or equal to)

greater than

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 71.6.

There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 71.6.

The sample data support the claim that the population mean is not equal to 71.6.

There is not sufficient sample evidence to support the claim that the population mean is not equal to 71.6.

Explanation / Answer

Z test statistic =x-mu/(s/sqrt(n))

   =69.9-71.6/(10.4/sqrt(48))

= -1.132494759 accurate to three decimal places =    -1.132

alpha =0.005 ( two tailed)

The P-Value is 0.257634. = 0.2576

  P-Value> alpha

reject null hypothesis.

The sample data support the claim that the population mean is not equal to 71.6.

p value (two tailed)

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