A data set about speed dating includes​ “like” ratings of male dates made by the female dates. The summary statistics are n=188​, x=5.56​, s=1.81. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 6.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

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Determine the test statistic.

(round to two decimal places as needed)

Determine the P-value.

(round to three decimal places as needed)

State the final conclusion that addresses the original claim. 

(reject/fail to reject) H0. There is (not sufficient/sufficient) evidence to conclude that the mean of the population of ratings is (less than/more than) 6.00.

A data set about speed dating includes​ “like” ratings of male dates made by the female dates. The summary statistics are n=197​, x=6.89​, s=2.08. Use a 0.05 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

What are the null and alternative​ hypotheses?

=<

Determine the test statistic.

(Round to two decimal places as​ needed.)

Determine the​ P-value.

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

State the final conclusion that addresses the original claim.

(fail to reject/reject) H0. There is (sufficient/not sufficient) evidence to conclude that the mean of the population of ratings is (greater than/not/equal to/less than) 7.00. 

A data set about speed dating includes​ “like” ratings of male dates made by the female dates. The summary statistics are

n=197​,

x=6.54​,

s=2.01.

Use a

0.05

significance level to test the claim that the population mean of such ratings is less than

7.00.

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

What are the null and alternative​ hypotheses?

A.

H0​:

μ=7.00

H1​:

μ>7.00

B.

H0​:

μ<7.00

H1​:

μ>7.00

C.

H0​:

μ=7.00

H1​:

μ≠7.00

D.

H0​:

μ=7.00

H1​:

μ<7.00

Determine the test statistic.

nothing

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

Determine the​ P-value.

nothing

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

State the final conclusion that addresses the original claim.

▼

Fail to reject

Reject

H0.

There is

▼

sufficient

not sufficient

evidence to conclude that the mean of the population of ratings is

▼

equal to

not

greater than

less than