Question

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 6% 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 (C) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 Dark (x2) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 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: Select an answer ? Select an answer Ha: Select an answer a (? A Select an answer Based on the hypotheses, find the following: Test Statistic = (Hint: difference in means from Ha) p-value = The correct decision is to Select an answer . that sleeping with The correct summary would be: Select an answer lights on can cause weight gain.

Answer 1

from given data and by using technology n =10 ha=8 x = 6.732 72 = 4.114. Si.9657 S2 = 1-5573 Ho: el = 42 매 시세2 Test statistic, i-X2 S2 S3 Ini 'n 6. F32 - 4,114 12.965+C1.55737 110T 8 2.618 1,0875 2.41 p-value at x =.0.06 df = nitn2^2=10+ 8-2= 16 p-value = 0.0142. pitie > 2:41) -0.0142 since, p-value < 0.06 #lale reject Ho there is sufficient that sleeping with evidence to support the claim lights on cause weight gain.