You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. Test the claim using a 2% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to 3 decimal places.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10
mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment
with a normal light/dark cycle is given below. Test the claim using a 2% level of significance. Assume the
population variances are unequal and that the weight changes are normally distributed. Give answers to 3
decimal places.
Data available at StatKey, choose Mice Wgt Gain-2e data set
Light (1)
1.71
4.67
4.99
5.33
5.43
6.94
7.15
9.17
10.26
11.67
What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols
in the order they appear in the problem.
Ho: M₁
Dark (₂)
2.27
2.53
2.83
4
4.21
4.6
5.95
6.52
Ha: P₁
Based on the hypotheses, find the following:
Test Statistic =
p-value =
Select an answer
Select an answer V
(Hint: difference in means from H₂)
The correct decision is to fail to reject the null hypothesis
The correct summary would be: There is not enough evidence to support the claim
lights on can cause weight gain.
o that sleeping with
Transcribed Image Text:You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. Test the claim using a 2% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to 3 decimal places. Data available at StatKey, choose Mice Wgt Gain-2e data set Light (1) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: M₁ Dark (₂) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 Ha: P₁ Based on the hypotheses, find the following: Test Statistic = p-value = Select an answer Select an answer V (Hint: difference in means from H₂) The correct decision is to fail to reject the null hypothesis The correct summary would be: There is not enough evidence to support the claim lights on can cause weight gain. o that sleeping with
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