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 54 cars driven by men on a highway and found the mean speed to be 144 miles per hour with a standard deviation of 4.4 miles per hour. Another sample of 36 cars driven by women on the same highway gaye a mean

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 54 cars driven by men on a
highway and found the mean speed to be 144 miles per hour with a standard deviation of 4.4
miles per hour. Another sample of 36 cars driven by women on the same highway gave a mean
speed of 136 miles per hour with a standard deviation of 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 an equal population standard deviation.
1.Construct a 98% confidence interval for the difference between the mean speeds of cars driven by all
men and all women on this highway.
please give correct answer and as soon as possible
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 54 cars driven by men on a highway and found the mean speed to be 144 miles per hour with a standard deviation of 4.4 miles per hour. Another sample of 36 cars driven by women on the same highway gave a mean speed of 136 miles per hour with a standard deviation of 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 an equal population standard deviation. 1.Construct a 98% confidence interval for the difference between the mean speeds of cars driven by all men and all women on this highway. please give correct answer and as soon as possible
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