T-Distribution Hypothesis Test

You wish to test the following claim (HaHa) at a significance level of=0.050.05.

Ho:=54.9Ho54.9

Ha:54.9Ha54.9

You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:

78.5

23.1

7.9

36.8

47.9

15.4

49.6

90.5

28.1

37.4

39.5

66.5

29.4

39.5

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

critical value =

What is the 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 54.9.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 54.9.
• The sample data support the claim that the population mean is not equal to 54.9.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 54.9.