Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternativehypotheses, teststatistic, 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 thosetests, with the measurements given in hic(standard head injury conditionunits). 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 specifiedrequirement?

7638231308691603564

What are thehypotheses?

A.

H0:

=1000

hic

H1:

<1000

hic

Your answer is correct.

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=

(Round to three decimal places asneeded.)

Part 3

Identify theP-value.

TheP-value is=_______

decimal places asneeded.)

Part 4

State the final conclusion that addresses the original claim. =

Reject? Or Reject fail?

H0. There is = sufficient? Or not Sufficient?vevidence 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 specifiedrequirement?

A.

There

isnot

strong evidence that the mean is less than 1000hic,

and

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

B.

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

C.

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

D.

There

is

strong evidence that the mean is less than 1000hic,

but

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