-0.13 0.25 0.67 0.24 -0.45 -0.02 -0.12 0.55 -0.08 0.64 0.77 0.31 1.19 0.17 0.34
ID: 3061271 • Letter: #
Question
-0.13 0.25 0.67 0.24 -0.45 -0.02 -0.12 0.55 -0.08 0.64 0.77 0.31 1.19 0.17 0.34 -0.28 -0.05 0.90 -0.29 0.06 0.56 -0.11 0.02 -0.16 0.24 0.15 0.73 0.38 0.25 -0.12 AM -vs- PM Height (Raw Data, Software Required): We want to test the claim that people are taller in the morning than in the evening. Morning height and evening height were measured for 30 randomly selected adults and the difference (morning height) - (evening height) for each adult was recorded in the table below. Use this data to test the claim that on average people are taller in the morning than in the evening. Test this claim at th e 0.10 significance level DATA n (a) In mathematical notation, the claim is which of the following? = 30 ) AM-PM Height Difference cm 0.13 0.25 0.67 0.24 0.45 0.02 0.12 0.55 0.08 0.64 0.77 0.31 1.19 0.17 0.34 0.28 0.05 0.90 -0.29 0.06 0.56 (b) What is the test statistic? Round your answer to 2 decimal places (c) Use software to get the P-value of the test statistic. Round to 4 decimal places P-value- (d) What is the conclusion regarding the null hypothesis? reject Ho O fail to reject Ho (e) Choose the appropriate concluding statement. O The data supports the claim that on average people are taller in the morning than in the evening O There is not enough data to support the claim that on average people are taller in the morning than in the evening O We reject the claim that on average people are taller in the morning than in the evening 0.02 -0.16 0.24 0.15 0.73 O We have proven that on average people are taller in the morning than in the evening 0.25 0.12Explanation / Answer
a)
Claim is : mu > 0 (option C)
b)
t-statistics = 3.07
c)
p-value = 0.0023
d)
Reject H0 (as p-value is less than 0.1 i.e. significance level)
e)
Option A
dbar = (before) - (after) 0.2203 s(dbar) 0.3930 SE = s(dbar)/sqrt(n) 0.0718 Test Statisitcs, t = dbar/SE 3.0706 degrees of freedom = n-1 29 p-value 0.002304Related Questions
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