(b) (15 pt) We observed the following data of size 20: 4.20,0.50, 1.25, 3.45,2.0
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(b) (15 pt) We observed the following data of size 20: 4.20,0.50, 1.25, 3.45,2.00,0.35, 0.15, 0.35, 1.50, 0.85, 2.50,3.80, 0.50, 1.50, 0.05,1.35, 1.15, 1.00,0.95, 0.25. (The data can also be found in file "HW1Q1.txt" under Files/Homework/ on Canvas.) (i) We denote the population mean to be . Conduct the one sample t-test: H0 : = 1 vs. Ha : > 1, under significance level 0.05. Report the test statistic, null distribution, decision rule, and conclusion (ii) Suppose you are told that the true population distribution is the exponential dis- tribution, what would be your concerns on the test in part (i)?Explanation / Answer
One-Sample T: C5
Test of = 1 vs > 1
Variable N Mean StDev SE Mean 95 % Lower Bound T P
C5 20 1.383 1.228 0.275 0.908 1.39 0.090
here p-value= 0.09 > 0.05
hence we fail to reject the null hypothesis
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