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=0.10, 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) (a) Identify the claim and state Ho and Ha What is the claim? OA. Ho: Pd #0 Ha: Pd=0 1 2 3 4 5 6 20.8 19.3 19.7 20.3 20.3 19.4 19.3 18.6 18.8 20.0 19.3 18.2 OA. Pneumonia causes weight loss in mice. OB. Weight gain causes pneumonia in mice. OC. Pneumonia causes weight gain in mice. OD. Weight loss causes pneumonia in mice. Let μg be the hypothesized mean of the difference in the weights (before-after). What are Ho and H₂? OD. Ho: Hasd Ha Hd >d (b) Find the critical value(s) and identify the rejection region(s). *** PH OB. Ho Hd=0 Ha Hd #0 G OE. Ho Hd 20 Ha: Hd <0 OC. Ho Hd ≤0 на Ha Hd>0 OF. Ho Hd2d Ha Hd

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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=0.10, 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)
(a) Identify the claim and state Ho and Ha
What is the claim?
1
2
3 4
5
6
19.4
20.8 19.3 19.7 20.3 20.3
19.3 18.6 18.8 20.0 19.3 18.2
OA. Ho: Pd #0
Ha: Hd=0
Q
OA. Pneumonia causes weight loss in mice.
OB. Weight gain causes pneumonia in mice.
OC. Pneumonia causes weight gain in mice.
O D. Weight loss causes pneumonia in mice.
Let u be the hypothesized mean of the difference in the weights (before-after). What are Ho and H₂?
OD. Ho: Hd sd
Ha Hdd
(b) Find the critical value(s) and identify the rejection region(s).
OB. Ho Hd=0
Ha Hd #0
OE. Ho Hd 20
Ha: H<0
OC. Ho Hd ≤0
Ha: Hd>0
OF. Ho Hdd
Ha Hd <d
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=0.10, 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) (a) Identify the claim and state Ho and Ha What is the claim? 1 2 3 4 5 6 19.4 20.8 19.3 19.7 20.3 20.3 19.3 18.6 18.8 20.0 19.3 18.2 OA. Ho: Pd #0 Ha: Hd=0 Q OA. Pneumonia causes weight loss in mice. OB. Weight gain causes pneumonia in mice. OC. Pneumonia causes weight gain in mice. O D. Weight loss causes pneumonia in mice. Let u be the hypothesized mean of the difference in the weights (before-after). What are Ho and H₂? OD. Ho: Hd sd Ha Hdd (b) Find the critical value(s) and identify the rejection region(s). OB. Ho Hd=0 Ha Hd #0 OE. Ho Hd 20 Ha: H<0 OC. Ho Hd ≤0 Ha: Hd>0 OF. Ho Hdd Ha Hd <d
A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection
the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts
Mouse
Weight (before)
Weight (after)
1
2
3
4
5
6
20.8 19.3 19.7 20.3 20.3 19.4
19.3 18.6 18.8 20.0 19.3 18.2
Select the correct choice below and fill in any answer boxes to complete your choice.
(Round to three decimal places as needed.)
OA. t<
OB. t<
OC. t>
or t>
(c) Calculated and sa
d= (Round to three decimal places as needed.)
Calculate Sa
S = (Round to three decimal places as needed.)
(d) Find the standardized test statistic t
t= (Round to two 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.
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 the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts Mouse Weight (before) Weight (after) 1 2 3 4 5 6 20.8 19.3 19.7 20.3 20.3 19.4 19.3 18.6 18.8 20.0 19.3 18.2 Select the correct choice below and fill in any answer boxes to complete your choice. (Round to three decimal places as needed.) OA. t< OB. t< OC. t> or t> (c) Calculated and sa d= (Round to three decimal places as needed.) Calculate Sa S = (Round to three decimal places as needed.) (d) Find the standardized test statistic t t= (Round to two 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.
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