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14 Dec 2021

Given information

It is believed that the average grade on an English essay in a particular school system for females is higher than for males. A random sample of  females had a mean score of  with a standard deviation of three, and a random sample of  males had a mean score of  with a standard deviation of four.

Step-by-step explanation

Step 1.

Let the average grade for females in the English essay be   and that of males be , then

The null and alternative hypotheses can be stated as follows:

,

.    

Hence, this hypothesis test is for independent group means, population standard deviations, and/or variances unknown.

Option.  

  

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