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 enou 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 1 2 3 4 5 6 Weight (before) 23.7 21.6 21.9 20.7 21.1 21.8 22.4 20.7 21.0 20.2 20.1 20.5 Weight (after) (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.) A. t> OB. t< C. t ort> (c) Calculate d and s =0.983 (Round to three decimal places as needed.) σ = Calculate Sa Sd= (Round to three decimal places as needed.) (d) Find the standardized test statistic t t=1.77 (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.

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 enou
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
1
2
3
4
5
6
Weight (before) 23.7 21.6 21.9 20.7 21.1 21.8
22.4 20.7 21.0 20.2 20.1 20.5
Weight (after)
(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.)
A. t>
OB. t<
C. t ort>
(c) Calculate d and s
=0.983 (Round to three decimal places as needed.)
σ =
Calculate Sa
Sd=
(Round to three decimal places as needed.)
(d) Find the standardized test statistic t
t=1.77 (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 and two days after infection. At a = 0.10, is there enou 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 1 2 3 4 5 6 Weight (before) 23.7 21.6 21.9 20.7 21.1 21.8 22.4 20.7 21.0 20.2 20.1 20.5 Weight (after) (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.) A. t> OB. t< C. t ort> (c) Calculate d and s =0.983 (Round to three decimal places as needed.) σ = Calculate Sa Sd= (Round to three decimal places as needed.) (d) Find the standardized test statistic t t=1.77 (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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