You wish to test the following claim (H

a

Ha

) at a significance level of

=

0.005

=0.005

.

H

o

:

=

83.4

Ho:=83.4

H

a

:

>

83.4

Ha:>83.4

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of sizen=106

with meanx=84.8 and a standard deviation ofs=5.9

.

What is the test statistic for this sample? (Report answer accurate to two 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 greater than 83.4.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 83.4.
• The sample data support the claim that the population mean is greater than 83.4.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 83.4.