1. Which engine do you prefer according to the table above? Why? 2. Construct and interpret a 95% confidence interval for the difference of two population means. 3. Does the data indicate that the effectiveness of Engine A is same as Engine B? Test at 5% level of significance. 4. Is your result in confidence interval consistent with your result in hypothesis testing? State the reason.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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The mean number of revolutions (per minute) of two competing engines are to be
compared. The sample of 30 engines are randomly assigned to be tested. Both populations
have a normal distribution. The summary statistics are presented in table below.
Sample Mean Number of
Revolution (per minute)
Population Standard
Engine
Deviation
A
25
8.5
B
26.6
10.5
1. Which engine do you prefer according to the table above? Why?
2. Construct and interpret a 95% confidence interval for the difference of two population
means.
3. Does the data indicate that the effectiveness of Engine A is same as Engine B? Test at 5%
level of significance.
4. Is your result in confidence interval consistent with your result in hypothesis testing? State
the reason.
Transcribed Image Text:The mean number of revolutions (per minute) of two competing engines are to be compared. The sample of 30 engines are randomly assigned to be tested. Both populations have a normal distribution. The summary statistics are presented in table below. Sample Mean Number of Revolution (per minute) Population Standard Engine Deviation A 25 8.5 B 26.6 10.5 1. Which engine do you prefer according to the table above? Why? 2. Construct and interpret a 95% confidence interval for the difference of two population means. 3. Does the data indicate that the effectiveness of Engine A is same as Engine B? Test at 5% level of significance. 4. Is your result in confidence interval consistent with your result in hypothesis testing? State the reason.
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