Question

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

0.050.05

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?

648648     

609609     

11941194     

556556     

547547     

592592

  

What are the​ hypotheses?

A.

Upper H 0H0​:

muμequals=10001000

hic

Upper H 1H1​:

muμgreater than or equals≥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​:

muμless than<10001000

hicYour answer is correct.

Identify the test statistic?

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

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