Atrack coach claims that their new month long training program will reduce your mile time by 1 minute. you want to statistically test if the training program reduces your mile time by something other than 1 minute. you decide to randomly select 8 people and record their mile times. you then have them follow the coach’s training program for a month and record their mile times post training program. the times of the subjects are listed below.
col1 subject mile time before training 9.5 7 6.7 8.45 6.2 6.3
col2 mile time after training 7.1 5.2 6.8 6.2 4 5.5 7.3
(a) what type of test is appropriate for this experiment set up?
(b) state the appropriate hypotheses
(c) how many degrees of freedom are involved in this test?
(d) perform a test of the hypotheses from (a) using a significance level of 5%. make sure to compute the test statistic and p-value, and make a conclusion in context.

45

step-by-step explanation:

yes

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true