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An insurance company wants to know if the average speed at which men drive cars is higher than that of women drivers. The company took a random sample of 36 cars driven by men on a highway and found the mean speed to be 72 miles per hour with a standard deviation of 3 miles per hour. Another sample of 20 cars driven by women on the same highway gave a mean speed of 68 miles per hour with a standard deviation of 4 miles per hour. Assume that the speeds at which all men and all women drive cars on this highway are both normally distributed with unequal population standard deviations.
(a) Construct a 90% confidence interval for the difference between the mean speeds of cars driven by all men and all women on this highway.
(b) Test at the 1% significance level whether the mean speed of cars driven by all men drivers on this highway is higher than that of cars driven by all women drivers.
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Mountain Man Brewing, a family owned business where Chris Prangel, the son of the president joins. Due to increase in the preference for light beer drinkers, Chris Prangel wants to introduce light beer version in Mountain Man. An analysis into the la..
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