# A teacher is interested in performing a hypothesis test to compare the difference between the mean math score of the girls and the mean math score of the boys. Indicate the correct test procedure and reasoning.

## A teacher is interested in performing a hypothesis test to compare the difference between the  mean math score of the girls and the mean math score of the boys. Indicate the correct test procedure and reasoning.

a) Two-proportion z-test. For means, we always use a normal model.

b) Two-proportion z-interval. A z-intervalis more accurate when comparing 2 means.

c) Two-sample t-test. For means, a student-t model works better than a normal model.

d) Two-sample t-interval. At-intervalis a better choice for a hypothesis test about means.

correct option is (c)

Solution:

If two populations are independent to each other and population standard deviation is not known than we will use two sample t tes, for means, a student t model works better than a normal model. So its correct answer is C i.e. two sample t tes. for means, a student t model works better than a normal model.

We can not use two proportion Z test because We are comparing difference between the mean math score of the girls and the mean math score of the boys. so its answer can not be a and b.

So its correct answer is C. i.e. two sample t tes. for means, a student t model works better than a normal model.

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