You wish to test the following claim (H

a

Ha

) at a significance level of

=

0.02

=0.02

.

H

o

:

=

74.5

Ho:=74.5

H

a

:

74.5

Ha:74.5

You believe the population is normally distributed and you know the standard deviation is

=

14.8

=14.8

. You obtain a sample mean of

x

=

70.1

x=70.1

for a sample of sizen

=

66

n=66

.

What is the test statistic for this sample?

test statistic =(Report answer accurate to 3 decimal places.)

What is the p-value for this sample?

p-value =(Report answer accurate to 4 decimal places.)

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 74.5.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 74.5.
• The sample data support the claim that the population mean is not equal to 74.5.
• There is not sufficient sample evidence to support the claim that the population mean is not equal to 74.5.