Question

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

nequals=189189​,

x overbarxequals=6.596.59​,

sequals=1.861.86.

Use a

0.050.05

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

7.007.00.

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.

Upper H 0H0​:

muμequals=7.007.00

Upper H 1H1​:

muμgreater than>7.007.00

B.

Upper H 0H0​:

muμequals=7.007.00

Upper H 1H1​:

muμnot equals≠7.007.00

C.

Upper H 0H0​:

muμequals=7.007.00

Upper H 1H1​:

muμless than<7.007.00

D.

Upper H 0H0​:

muμless than<7.007.00

Upper H 1H1​:

muμgreater than>7.007.00

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

Upper H 0H0.

There is

▼

not sufficient

sufficient

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

▼

less than

equal to

greater than

not

7.007.00.

Answer 1