You wish to test the following claim (HaHa) at a significance level of =0.10=0.1

Question

You wish to test the following claim (HaHa) at a significance level of =0.10=0.10.

      Ho:=79.9Ho:=79.9
      Ha:<79.9Ha:<79.9

You believe the population is normally distributed and you know the population standard deviation is =11.7=11.7. You obtain a sample mean of M=75.2M=75.2 for a sample of size n=16n=16.

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 three 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 hypothesis

accept the null hypothesis

fail to reject the null hypothesis

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that the population mean is less than 79.9.

There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 79.9.

The sample data support the claim that the population mean is less than 79.9.

There is not sufficient sample evidence to support the claim that the population mean is less than 79.9.

Explanation / Answer

A) test statistic = (M - mu) / (sigma /sqrt(n))

= (75.2 - 79.9) / (11.7/sqrt(16))

= - 1.607

B) p-value = P(Z < - 1.61) = 0.054

The p-value is less than alpha.

C) the test statistic leads to a decision to reject the null hypothesis

D) Option-C) The sample data support the claim that the population mean is less than 79.9

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