You wish to test the following claim (H

a

Ha

) at a significance level of

=

0.01

=0.01

.

H

o

:

=

89.4

Ho:=89.4

H

a

:

<

89.4

Ha:<89.4

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

Column AColumn BColumn CColumn DColumn E81.3101.673.58881.173.58477.288.3101.686.27690.787.878.893.589.270.496.980.887.897.485.672.287.386.985.690.799.182.674.686.493.291.794.986.285.197.494.180.599.181.197.983.58672.967.773.586.286.2

Note: To save vertical scrolling space, the data set is shown here with five columns. In Statcrunch, you will need to make sure all the data are in ONE column.

Use Technology

What is the test statistic for this sample?

test statistic =(Report answer accurate to 4 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 less than 89.4.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 89.4.
• The sample data support the claim that the population mean is less than 89.4.
• There is not sufficient sample evidence to support the claim that the population mean is less than 89.4.