Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a

0.05

significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement?

760

813

1334

673

673

529

Question content area bottom

Part 1

What are the hypotheses?

A.

H0:

=1000

hic

H1:

1000

hic

B.

H0:

=1000

hic

H1:

<1000

hic

C.

H0:

>1000

hic

H1:

<1000

hic

D.

H0:

<1000

hic

H1:

1000

hic

Part 2

Identify the test statistic.

t=enter your response here

(Round to three decimal places as needed.)

Part 3

Identify the P-value.

The P-value is

enter your response here.

(Round to four decimal places as needed.)

Part 4

State the final conclusion that addresses the original claim.

Fail to reject

Reject

H0.

There is

sufficient

insufficient

evidence to support the claim that the sample is from a population with a mean less than 1000 hic.

Part 5

What do the results suggest about the child booster seats meeting the specified requirement?

A.

The requirement is met since most sample measurements are less than 1000 hic.

B.

There

is

strong evidence that the mean is less than 1000 hic,

but

one of the booster seats has a measurement that is greater than 1000 hic.

C.

There

isnot

strong evidence that the mean is less than 1000 hic,

and

one of the booster seats has a measurement that is greater than 1000 hic.

D.

The results are inconclusive regarding whether one of the booster seats could have a measurement that is greater than 1000 hic.