Question

You wish to test the following claim ( H a ) at a significance level of α = 0.001 . H o : μ = 55.5 H a : μ < 55.5 You believe the population is normally distributed, but you do not know the standard deviation. data 48.7 46.4 65.8

What is the test statistic for this sample? test statistic = Round to 3 decimal places

What is the p-value for this sample? p-value = Round to 4 decimal places.

The p-value is... less than (or equal to) α greater than α

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 less than 55.5.

There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 55.5.

The sample data support the claim that the population mean is less than 55.5.

There is not sufficient sample evidence to support the claim that the population mean is less than 55.5.

Answer 1

Given hypothesis is----

Since is not known , then we use t test to test the above hypothesis---

test statistic---

from the given data-----

s= 10.599

n= 3

then---

we will find p- value using excel----

command for p- value is---

The output is----

p- value = 0.3946>0.001 so we fail to reject the null hypothesis.

Conclusion--  There is not sufficient sample evidence to support the claim that the population mean is less than 55.5.