Question

my answers will not match what they have..

A fitness trainer claims that high intensity power training decreases the body fat percentages of females. The table below shows the body fat percentages of

eight

females before and after 10 weeks of high intensity power training. At

alphaαequals=0.05

is there enough evidence to support the​ trainer's claim? Assume the samples are random and​ dependent, and the population is normally distributed. Complete parts​ (a) through​ (e) below.

Female	1	2	3	4	5	6	7	8
Body fat percentage​(before)	25.1	22.9	25.4	26.8	22.5	24.1	27.9	24.2
Body fat percentage​ (after)	25.0	22.1	25.0	27.4	21.8	23.8	27.1	23.7

​(a) Identify the claim and state

Upper H 0H0

and

Upper H Subscript aHa.

What is the​ claim?

High intensity power training ________ the body fat percentages of females.

Let

mu Subscript dμd

be the hypothesized mean of the difference in the body fat percentages

​(beforeminus−​after).

What are

Upper H 0

and

Upper H Subscript aHa​?

​(b) Find the critical​ value(s) and identify the rejection​ region(s).

Select the correct choice below and fill in any answer boxes to complete your choice.

​(Round to three decimal places as​ needed.)

​(c) Calculate

d overbard

and

s Subscript dsd.

d overbardequals=nothing

​(Round to three decimal places as​ needed.)

Calculate

s Subscript dsd.

s Subscript dsdequals=nothing

​(Round to three decimal places as​ needed.)

​(d) Find the standardized test statistic t.

tequals=nothing

​(Round to three decimal places as​ needed.)

​(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.

(2)

the null hypothesis. There

(3)

enough evidence to

(4)

the claim that high intensity power training

(5)

the body fat percentages of females.

Answer 1