Question

Data:The table below shows pulse rates taken from random samples of adults. The data have been sorted by age. Use one-way analysis of variance (ANOVA) to test the claim that the three different age groups have the same mean pulse rate. Use α = .05 .

              Adult Pulse Rates by Age Group
20-29   64 64 76 64 60 88 72 56 88 72 68 80 72  72 68  64
30-39   88 72 85 60 84 84 64 56 72 68 80 76 60  76 80  60
40-49   72 60 84 72 56 64 70 76 68 96 72 64 80 104 88 124

1) Express the claim in symbolic form.

2) What is the alternative hypothesis, H₁?

Answer choices for Q1 and Q2

A) More than one mean is different.

B) μ_20-29 = μ_30-39 = μ_40-49

C) μ_20-29 < μ_30-39 < μ_40-49

D) At most one mean is different.

E) μ_20-29 ≤ μ_30-39 ≤ μ_40-49

F) μ_20-29 > μ_30-39 > μ_40-49

G) At least one mean is different.

H) Fewer than one mean is different.

I) μ_20-29 ≥ μ_30-39 ≥ μ_40-49

J) μ_20-29 ≠ μ_30-39 ≠ μ_40-49

3)Find the critical value(s). (Round to the nearest ten-thousandth. If more than one value is found, enter the smallest critical value.)

4)Find the value of the test statistic. (Round to the nearest ten-thousandth.)

5)What is the statistical conclusion?

Group of answer choices

A) Reject H₀

B) Fail to reject H₀

6)State the conclusion in words.

Group of answer choices

A) There is not sufficient evidence to warrant rejection of the claim that the three different age groups have the same mean pulse rate.

B) There is not sufficient sample evidence to support the claim that the three different age groups have the same mean pulse rate.

C) There is sufficient evidence to warrant rejection of the claim that the three different age groups have the same mean pulse rate.

D) The sample data support the claim that the three different age groups have the same mean pulse rate.

Answer 1

We input this data set in MS Excel and use the "Anova: Single Factor" option under Data > Data Analysis to solve this problem and answer the given questions. The screenshot of the data set and output is pasted below.



(1) μ20-29 = μ30-39 = μ40-49 (Option B).
(2) At least one mean is different (Option G).
(3) Critical value = F crit = 3.2043.
(4) Test statistic = F = 1.4469.
(5) Fail to reject H0, since F < F crit.
(6) There is not sufficient evidence to warrant rejection of the claim that the three different age groups have the same mean pulse rate.