The accompanying table lists pulse rates. Use a

0.05

significance level and apply the methods of two-way analysis of variance. What is the conclusion?

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State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors.

H0:

There

is an

is no

interaction between gender and age.

H1:

There

is an

is no

interaction between gender and age.

What is the value of the test statistic for this test?

F=enter your response here

(Round to two decimal places as needed.)

What is the corresponding P-value of the test statistic, F, for this test?

P-value=enter your response here

(Round to three decimal places as needed.)

State the conclusion of this test.

Reject

Fail to reject

H0.

There

is not

is

sufficient evidence to warrant rejection of the claim that pulse rates are not affected by an interaction between gender and age. There

does not

does

appear to be an effect from an interaction between gender and age.

State the null and alternative hypotheses in the test for the effect from the row factor.

A.

H0:

At least one of the rows is sampled from a population with a mean different from the others.

H1:

The row values are from populations with the same mean.

B.

H0:

The row values are from populations with the same mean.

H1:

At least one of the rows is sampled from a population with a mean different from the others.

C.

H0:

The row values are from populations with the same standard deviation.

H1:

At least one of the rows is sampled from a population with a standard deviation different from the others.

D.

In this case, the test for the effect from a row factor should not be done.

What is the value of the test statistic for this test?

A.

F=enter your response here

(Round to two decimal places as needed.)

B.

In this case, the test for the effect from a row factor should not be done.

What is the corresponding P-value of the test statistic, F, for this test?

A.

P-value=enter your response here

(Round to three decimal places as needed.)

B.

In this case, the test for the effect from a row factor should not be done.

State the conclusion of this test. Choose the correct answer below.

A.

Reject

H0.

There is sufficient evidence to warrant rejection of the claim that the row values are from populations with the same mean.

B.

Do not reject

H0.

There is insufficient evidence to warrant rejection of the claim that the row values are from populations with the same mean.

C.

Do not reject

H0.

There is insufficient evidence to warrant rejection of the claim that the row values are from populations with the same standard deviation.

D.

Reject

H0.

There is sufficient evidence to warrant rejection of the claim that the row values are from populations with the same standard deviation.

E.

In this case, the test for the effect from a row factor should not be done.

State the null and alternative hypotheses in the test for the effect from the column factor.

A.

H0:

The column values are from populations with the same standard deviation.

H1:

At least one of the columns is sampled from a population with a standard deviation different from the others.

B.

H0:

At least one of the columns is sampled from a population with a mean different from the others.

H1:

The column values are from populations with the same mean.

C.

H0:

The column values are from populations with the same mean.

H1:

At least one of the columns is sampled from a population with a mean different from the others.

D.

In this case, the test for the effect from a column factor should not be done.

What is the value of the test statistic for this test?

A.

F=enter your response here

(Round to two decimal places as needed.)

B.

In this case, the test for the effect from a column factor should not be done.

What is the corresponding P-value of the test statistic, F, for this test?

A.

P-value=enter your response here

(Round to three decimal places as needed.)

B.

In this case, the test for the effect from a column factor should not be done.

State the conclusion of this test.

A.

Do not reject

H0.

There is insufficient evidence to warrant rejection of the claim that the column values are from populations with the same standard deviation.

B.

Reject

H0.

There is sufficient evidence to warrant rejection of the claim that the column values are from populations with the same mean.

C.

Do not reject

H0.

There is insufficient evidence to warrant rejection of the claim that the column values are from populations with the same mean.

D.

Reject

H0.

There is sufficient evidence to warrant rejection of the claim that the column values are from populations with the same standard deviation.

E.

In this case, the test for the effect from a column factor should not be done.

Statcrunch

Pulse rates for gender and age

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Under 30 Years of Age	Over 30 Years of Age
Female	79	104	80	65	60	98	82	97	91	96	77	76	73	65	73	78	62	72	74	56
Male	60	81	56	68	68	75	75	67	62	57	46	71	62	66	89	81	59	59	63	60