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 scientists claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. | 1 2 | 3 |4 6o Mouse Weight (before) 21.7 21.6 208 21.7 22.6 225 Weight (after) 20.4 20.8 19.9 21.3 21.7 21.3 (a) Identify the claim and state Hg and H, What is the claim? O A. Pneumonia causes weight loss in mice. O B. Weight loss causes pneumonia in mice. Oc. Weight gain causes pneumonia in mice. OD. Pneumonia causes weight gain in mice. Let Ha be the hypothesized mean of the difference in the weights (before - after). What are Ho and H,? OA Ha: sa OB. H: s0 OC. H g za OE H: H0 H, -0 OD. Ho: H0 OF H: Ha 20 (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fil in any answer boxes to complete your choice. (Round to three decimal places as needed.) OA OB. te Oc t ort (c) Calculate d and s- d- Round to three decimal places as needed.) Calculate S- (Round to three decimal places as needed.) (d) Find the standardized test statistic t. t=O (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. V the null hypothesis. There enough evidence to the claim that causes Vin mice weight gain pnuemonia weight loss

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
3
1
21.7 21.6 20.8 21.7 22.6 22.5
20.4 20.8 19.9 21.3 21.7 21.3
2
4
6
Weight (before)
Weight (after)
(a) Identify the claim and state H, and Ha.
What is the claim?
O A. Pneumonia causes weight loss in mice.
O B. Weight loss causes pneumonia 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 H,?
O B. Ho: Ha s0
Ha: Ha>0
O A. Ho: Ha sa
O C. Ho: Ha zd
O E. Ho: Ha #0
H3i Ha =0
OF. Ho: Ha 20
O D. Ho: Hd =0
Ha: Ha #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. ts
OB.
or t>
O C. t>
(c) Calculate d and sg.
d= (Round to three decimal places as needed.)
Calculate sa-
Sd =
(Round to three decimal places as needed.)
(d) Find the standardized test statistic t.
t=
(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.
V the null hypothesis. There
V enough evidence to
the claim that
causes
in mice.
weight gain
pnuemonia
weight loss
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 3 1 21.7 21.6 20.8 21.7 22.6 22.5 20.4 20.8 19.9 21.3 21.7 21.3 2 4 6 Weight (before) Weight (after) (a) Identify the claim and state H, and Ha. What is the claim? O A. Pneumonia causes weight loss in mice. O B. Weight loss causes pneumonia 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 H,? O B. Ho: Ha s0 Ha: Ha>0 O A. Ho: Ha sa O C. Ho: Ha zd O E. Ho: Ha #0 H3i Ha =0 OF. Ho: Ha 20 O D. Ho: Hd =0 Ha: Ha #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. ts OB. or t> O C. t> (c) Calculate d and sg. d= (Round to three decimal places as needed.) Calculate sa- Sd = (Round to three decimal places as needed.) (d) Find the standardized test statistic t. t= (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. V the null hypothesis. There V enough evidence to the claim that causes in mice. weight gain pnuemonia weight loss
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