The accompanying table lists heights (in inches) of randomly selected fathers and their first sons. Use a 0.05 significance level to test the claim that there is no difference in heights between fathers and their first sons.

H e i g h t o f F a t h e r H e i g h t o f S o n 6 9.4 6 8.0 7 1.4 7 1.3 6 8.8 7 0.5 6 9.0 7 1.5 7 1.0 7 2.9 6 5.3 6 7.7 6 7.2 6 4.6 7 0.3 7 0.2 6 6.9 6 9.5 6 8.2 7 1.3 6 1.5 6 4.9 6 8.6 6 9.9 6 9.5 7 1.3 7 4.0 7 4.8 7 1.3 6 7.9 6 8.1 7 0.8 7 2.7 7 3.4 7 1.8 7 3.5 7 3.8 7 3.2 7 1.1 7 7.4 7 1.5 7 3.4 6 9.8 6 7.1 6 9.6 6 7.5 6 9.3 6 8.6 6 7.1 6 7.9 6 6.0 6 6.9 6 9.5 7 0.7 6 8.0 7 0.9 6 6.1 7 0.0 6 5.1 6 5.2 6 8.8 6 5.6 7 2.0 7 1.6 7 2.1 6 9.5 6 8.7 7 0.7 6 5.2 6 7.0 7 1.8 7 1.9 7 1.5 7 4.1 7 2.2 7 2.5 7 0.5 7 3.8 7 0.7 6 9.4 6 8.5 6 5.4 6 7.4 6 9.8 7 1.3 7 3.8 6 9.1 7 1.6 6 9.0 7 2.1 7 0.0 6 9.5 7 3.0 7 1.1 6 9.1 6 9.5 6 9.5 7 0.4 6 9.1 7 3.2 6 7.3 6 9.1 6 8.7 7 2.4 6 7.3 6 8.7 6 9.2 6 9.0 7 6 2 7 3 2 10/30/21, 12:18 AM Heights https://www.mathxl.com/Student/PlayerTest.aspx?testId=230138677 2/2 76.2 73.2 65.4 69.9 69.1 78.1 70.5 72.4 68.3 72.2 68.5 71.1 69.3 71.8 64.2 65.1 68.4 69.7 68.3 71.0 70.7 69.6 67.2 71.6 71.7 72.0 65.3 69.7 66.1 70.6 65.4 71.3 70.7 69.8 66.9 69.7 70.1 70.3 64.9 70.1 64.0 70.3

In thisexample,

d

is the mean value of the differences d for the population of all pairs ofdata, where each individual difference d is defined as the height of the father minus the height of the first son. What are the null and alternative hypotheses for the hypothesistest?

H0:

d

not equals

less than<

equals=

greater than>

enter your response here

in.

H1:

d

not equals

greater than>

equals=

less than<

enter your response here

in.

(Type integers or decimals. Do notround.)

Identify the test statistic.

t=enter your response here

(Round to two decimal places asneeded.)

Identify theP-value.

P-value=enter your response here

(Round to three decimal places asneeded.)

What is the conclusion based on the hypothesistest?

Since theP-value is