A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a = 0.05, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Mouse Weight (before) Weight (after) 1 2 3 4 5 6 22.2 23.3 19.3 19.1 23.1 22.6 22.1 23.2 19.1 19.0 22.9 22.6 (a) Identify the claim and state Họ and Ha. What is the claim? O A. Weight loss causes pneumonia in mice. O B. Pneumonia causes weight loss in mice. OC. Weight gain causes pneumonia in mice. O D. Pneumonia causes weight gain in mice. Let Hg be the hypothesized mean of the difference in the weights (before - after). What are Ho and Ha? O A. Ho: Ha sd Hai Hg >d O B. Ho: Ha 20 Ho: Hd s0 Ha: Ha >0 O D. Ho: Ha #0 O E. Ho: Hazd OF. Ho: Ha =0 Ha: Hd =0 Ha: Hd #0 p > Prt :®H (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.) O A. t< or t> O B. t> O C. t<

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Solve all parts please 3
(c) Calculate d and sg.
d =
(Round to three decimal places as needed.)
Calculate sa.
(Round to three decimal places as needed.)
weight gain
(d) Find the standardized test statistic t.
weight loss
%3D
(Round to three decimal places as needed.)
pnuemonia
(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the
laim.
Fail to rejectthe null hypothesis. There
enough evidence to
the claim that
in mice.
causes
Transcribed Image Text:(c) Calculate d and sg. d = (Round to three decimal places as needed.) Calculate sa. (Round to three decimal places as needed.) weight gain (d) Find the standardized test statistic t. weight loss %3D (Round to three decimal places as needed.) pnuemonia (e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the laim. Fail to rejectthe null hypothesis. There enough evidence to the claim that in mice. causes
A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a = 0.05, is
there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a)
through (e) below.
Mouse
2
3
4
6
Weight (before) 22.2 23.3 19.3 19.1 23.1 22.6
Weight (after)
22.1 23.2 19.1 | 19.0 22.9 22.6
.....
(a) Identify the claim and state H, and Ha.
What is the claim?
O A. Weight loss causes pneumonia in mice.
OB. Pneumonia causes weight loss in mice.
O C. Weight gain causes pneumonia in mice.
O D. Pneumonia causes weight gain in mice.
Let Ha be the hypothesized mean of the difference in the weights (before - after). What are Ho and Ha?
O A. Ho: Hd sd
Hai Ha >d
O B. Ho: Ha 20
C. Ho: Hd s0
Hai Hd <0
Ha: Hd >0
O E. Ho: Ha zd
Hai Hy <d
O D. Ho: Ha #0
O F. Ho: Hd =0
Ha: Ha = 0
Hạ: Hd #0
(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.)
O A. t<
or t>
O B. t>
O C. t<
Transcribed Image Text:A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a = 0.05, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Mouse 2 3 4 6 Weight (before) 22.2 23.3 19.3 19.1 23.1 22.6 Weight (after) 22.1 23.2 19.1 | 19.0 22.9 22.6 ..... (a) Identify the claim and state H, and Ha. What is the claim? O A. Weight loss causes pneumonia in mice. OB. Pneumonia causes weight loss in mice. O C. Weight gain causes pneumonia in mice. O D. Pneumonia causes weight gain in mice. Let Ha be the hypothesized mean of the difference in the weights (before - after). What are Ho and Ha? O A. Ho: Hd sd Hai Ha >d O B. Ho: Ha 20 C. Ho: Hd s0 Hai Hd <0 Ha: Hd >0 O E. Ho: Ha zd Hai Hy <d O D. Ho: Ha #0 O F. Ho: Hd =0 Ha: Ha = 0 Hạ: Hd #0 (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.) O A. t< or t> O B. t> O C. t<
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