Construct the 95% confidence interval for the difference between the population
ID: 2788494 • Letter: C
Question
Construct the 95% confidence interval for the difference between the population means. (Negative values should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)
Specify the competing hypotheses in order to determine whether or not the population means differ.
Consider the following data drawn independently from normally distributed populations: Use Table 1.http://lectures.mhhe.com/connect/0078020557/Table/table1.jpgExplanation / Answer
a)
difference in mean u = 25.7-30.6 = -4.9
standard deviation of difference in mean
= sqrt(98.2^2/20 + 87.4^2/25)
= 28.0662
margin of error = z-score * standard deviation
= 1.96 * 28.0662
= 55.01
lower bound = -4.9 -55.01 = -59.91
upper bound = -4.9 + 55.01 = 50.11
b)
Ho: u1-u1=0
Ha: u1-u2 !=0
c)
No, we cannot reject null hypothesis since it includes 0
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.