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Use the following to answer questions :
A sample of 31 male students and another sample of 33 female students from the same college produced mean G.P.As of 2.66 for the males and 2.89 for the females.Suppose that the standard deviations of the G.P.As are 0.71 for the males and 0.63 for the females.The null hypothesis is that the mean G.P.A's are the same for males and females,while the alternative hypothesis is that the mean G.P.A for males is less than the mean G.P.A for females.
-Derive the corresponding 99% confidence interval for the difference between the mean G.P.As for all male and female students at this college,rounded to three decimal places.


Definitions:

Market Demand

The overall volume of a good or service that consumers in a market are ready and capable of buying across a range of prices.

Exclusive Right

A legal entitlement granting a party sole permission to use, produce, or sell a particular product or service, often protected by intellectual property laws.

Supply Curves

Visual representations indicating how the quantity supplied of a good changes in response to changes in its price, usually upward sloping.

Market Demand

The cumulative demand for a good or service from all buyers in the market, determined by their willingness and ability to purchase at various price points.

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