A scientist claims that pneumonia causes weight loss in mice. The table shows th
ID: 3266153 • Letter: A
Question
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 alpha equals = 0.05 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 1 2 3 4 5 6 Weight (before) 22.4 22.4 20.1 20.1 19.1 19.1 23.1 23.1 20.3 20.3 21.1 21.1 Weight (after) 22.3 22.3 20.2 20.2 18.9 18.9 23.1 23.1 20.1 20.1 21.0 21.0 (a) Identify the claim and state Upper H 0 H0 and Upper H Subscript a Ha. What is the claim? A. Weight gain causes pneumonia in mice. B. Weight loss causes pneumonia in mice. C. Pneumonia causes weight gain in mice. D. Pneumonia causes weight loss in mice. Your answer is correct. Let mu Subscript d d be the hypothesized mean of the difference in the weights (before minus after). What are Upper H 0 H0 and Upper H Subscript a Ha? A. Upper H 0 H0: mu Subscript d d less than or equals d overbar d Upper H Subscript a Ha: mu Subscript d d greater than > d overbar d B. Upper H 0 H0: mu Subscript d d less than or equals 0 Upper H Subscript a Ha: mu Subscript d d greater than >0 Your answer is correct. C. Upper H 0 H0: mu Subscript d d equals =0 Upper H Subscript a Ha: mu Subscript d d not equals 0 D. Upper H 0 H0: mu Subscript d d not equals 0 Upper H Subscript a Ha: mu Subscript d d equals =0 E. Upper H 0 H0: mu Subscript d d greater than or equals 0 Upper H Subscript a Ha: mu Subscript d d less than <0 F. Upper H 0 H0: mu Subscript d d greater than or equals d overbar d Upper H Subscript a Ha: mu Subscript d d less than < d overbar d (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 less than < nothing or t greater than > nothing B. t greater than > 2.015 2.015 Your answer is correct. C. t less than < nothing (c) Calculate d overbar d and s Subscript d sd. d overbar d equals = . 083 .083 (Round to three decimal places as needed.) Calculate s Subscript d sd. s Subscript d sd equals = nothing (Round to three decimal places as needed.)
Explanation / Answer
Answer:
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 alpha equals = 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 1 2 3 4 5 6 Weight (before) 22.4 22.4 20.1 20.1 19.1 19.1 23.1 23.1 20.3 20.3 21.1 21.1 Weight (after) 22.3 22.3 20.2 20.2 18.9 18.9 23.1 23.1 20.1 20.1 21.0 21.0
(a) Identify the claim and state Upper H 0 H0 and Upper H Subscript a Ha. What is the claim?
A. Weight gain causes pneumonia in mice.
B. Weight loss causes pneumonia in mice.
C. Pneumonia causes weight gain in mice.
Answer: D. Pneumonia causes weight loss in mice.
. Let mu Subscript d d be the hypothesized mean of the difference in the weights (before minus after).
Null hypothesis H_0 : mu_d = 0 Alternative hypothesis: H_1 : mu_d > 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.)
A. t less than < nothing or t greater than > nothing
Answer: B. t greater than > 2.015
C. t less than < nothing
(c) Calculate d overbar d and s Subscript d sd. d overbar d equals =0 . 083 (Round to three decimal places as needed.)
Calculate s Subscript d sd. s Subscript d sd equals = 0.117 Round to three decimal places as needed.)
Test statistic t=1.746
P=0.0706
Ho is not rejected.
There is no evidence to support the claim.
Paired t Test
Data
Hypothesized Mean Difference
0
Level of significance
0.05
Intermediate Calculations
Sample Size
6
DBar
0.0833
Degrees of Freedom
5
SD
0.1169
Standard Error
0.0477
t Test Statistic
1.7461
Upper-Tail Test
Upper Critical Value
2.0150
p-Value
0.0706
Do not reject the null hypothesis
Paired t Test
Data
Hypothesized Mean Difference
0
Level of significance
0.05
Intermediate Calculations
Sample Size
6
DBar
0.0833
Degrees of Freedom
5
SD
0.1169
Standard Error
0.0477
t Test Statistic
1.7461
Upper-Tail Test
Upper Critical Value
2.0150
p-Value
0.0706
Do not reject the null hypothesis
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