Question

In: Statistics and Probability

Assume that a simple random sample has been selected from a normally distributed population and test...

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

0.010.01

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?

788788     

720720     

11591159     

592592     

615615     

560560

What are the​ hypotheses?

A.

Upper H 0H0​:

muμequals=10001000

hic

Upper H 1H1​:

muμless than<10001000

hic

B.

Upper H 0H0​:

muμless than<10001000

hic

Upper H 1H1​:

muμgreater than or equals≥10001000

hic

C.

Upper H 0H0​:

muμgreater than>10001000

hic

Upper H 1H1​:

muμless than<10001000

hic

D.

Upper H 0H0​:

muμequals=10001000

hic

Upper H 1H1​:

muμgreater than or equals≥10001000

hic

Identify the test statistic.

tequals=nothing

​(Round to three decimal places as​ needed.)

Identify the​ P-value.

The​ P-value is

nothing.

​(Round to four decimal places as​ needed.)

State the final conclusion that addresses the original claim.

▼

Upper H 0H0.

There is

▼

sufficient

insufficient

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

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

isis

strong evidence that the mean is less than 1000​ hic,

butbut

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

C.

There

is notis not

strong evidence that the mean is less than 1000​ hic,

andand

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.

Solutions

Expert Solution

orchestra answered 2 years ago
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