An insurance company wants to know if the average speed at which men drive cars is greater than that of women drivers. The company took a random sample of 27 cars driven by men on a highway and found the mean speed to be 72 miles per hour with a standard deviation of 2.2 miles per hour. Another sample of 18 cars driven by women on the same highway gave a mean speed of 68 miles per hour with a standard deviation of 2.5 miles per hour. Assume that the speeds at which all men and all women drive cars on this highway are both normally distributed with the same population standard deviation. Suppose you must test the hypothesis at 1% level of significance whether the mean speed of cars driven by all men drivers on this highway is greater than that of cars driven by all women drivers. The conclusion will be: =2.390, we then reject the null hypothesis at 5% level of significance and 0.01.43 O a) Since t =5.501 is not greater than t conclude that the mean speed of cars driven by all men drivers on this highway is indeed greater than that of cars driven by all women drivers. O b) Since t =5.501 is greater than t =2.390, we then fail to reject the null hypothesis at 5% level of significance 0.01,43 and conclude that the mean speed of cars driven by all men drivers on this highway is indeed greater than that of cars driven by all women drivers. =2.390, we then reject the null hypothesis at 5% level of significance and O c) Since t =5.501 is greater than t conclude that the mean speed of cars driven by all men drivers on this highway is indeed greater than that of cars driven by all women drivers. 0,01.43 O d) Since t =5.501 is greater than to1 =2.390, we then fail to reject the null hypothesis at 5% level of significance and conclude that the mean speed of cars driven by all men drivers on this highway is not greater than that of cars driven by all women drivers.
An insurance company wants to know if the average speed at which men drive cars is greater than that of women drivers. The company took a random sample of 27 cars driven by men on a highway and found the mean speed to be 72 miles per hour with a standard deviation of 2.2 miles per hour. Another sample of 18 cars driven by women on the same highway gave a mean speed of 68 miles per hour with a standard deviation of 2.5 miles per hour. Assume that the speeds at which all men and all women drive cars on this highway are both normally distributed with the same population standard deviation. Suppose you must test the hypothesis at 1% level of significance whether the mean speed of cars driven by all men drivers on this highway is greater than that of cars driven by all women drivers. The conclusion will be: =2.390, we then reject the null hypothesis at 5% level of significance and 0.01.43 O a) Since t =5.501 is not greater than t conclude that the mean speed of cars driven by all men drivers on this highway is indeed greater than that of cars driven by all women drivers. O b) Since t =5.501 is greater than t =2.390, we then fail to reject the null hypothesis at 5% level of significance 0.01,43 and conclude that the mean speed of cars driven by all men drivers on this highway is indeed greater than that of cars driven by all women drivers. =2.390, we then reject the null hypothesis at 5% level of significance and O c) Since t =5.501 is greater than t conclude that the mean speed of cars driven by all men drivers on this highway is indeed greater than that of cars driven by all women drivers. 0,01.43 O d) Since t =5.501 is greater than to1 =2.390, we then fail to reject the null hypothesis at 5% level of significance and conclude that the mean speed of cars driven by all men drivers on this highway is not greater than that of cars driven by all women drivers.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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Transcribed Image Text:An insurance company wants to know if the average speed at which men drive cars is greater than that of women drivers.
The company took a random sample of 27 cars driven by men on a highway and found the mean speed to be 72 miles per
hour with a standard deviation of 2.2 miles per hour. Another sample of 18 cars driven by women on the same highway
gave a mean speed of 68 miles per hour with a standard deviation of 2.5 miles per hour. Assume that the speeds at which
all men and all women drive cars on this highway are both normally distributed with the same population standard
deviation. Suppose you must test the hypothesis at 1% level of significance whether the mean speed of cars driven by all
men drivers on this highway is greater than that of cars driven by all women drivers.
The conclusion will be
3D2.390, we then reject the null hypothesis at 5% level of significance and
f0.01.43
a) Since t =5.501 is not greater than t
conclude that the mean speed of cars driven by all men drivers on this highway is indeed greater than that of cars
driven by all women drivers.
b) Since t =5.501 is greater than o.01.43
=2.390, we then fail to reject the null hypothesis at 5% level of significance
0.01.43
and conclude that the mean speed of cars driven by all men drivers on this highway is indeed greater than that of cars
driven by all women drivers
O c) Since t =5.501 is greater than r
=2.390, we then reject the null hypothesis at 5% level of significance and
0.01.43
conclude that the mean speed of cars driven by all men drivers on this highway is indeed greater than that of cars
driven by all women drivers.
O d) Since t =5.501 is greater than r
=2.390. we then fail to reject the null hypothesis at 5% level of significance
0.01.43
and conclude that the mean speed of cars driven by all men drivers on this highway is not greater than that of cars
driven by all women drivers
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