Question

Do college students from private schools have higher than average test-taking skills? A researcher administered a standard measure of test-taking skills to a randomly chosen student from a private university and found him to have a score of 68. The average on this measure for the population in general is 60 with a standard deviation of 10. What should you conclude about whether this student from a private university has higher test-taking ability? Explain. 8 points

Answer 1

Null hypothesis:- this student from a private university dont has higher test taking ability.

Alternate hypothesis:- this student from a private university has higher test taking ability.

we have to use z test statistics because population standard deviation is known

we will use 0.05 significance level for testing the hypothesis

we have

Calculation for test statistic

z=

now we have to find the p value corresponding to this z value

using the identity

we can write it as

So, the calculated p value is 0.2119 which is greater than 0.05 significance level, thus we can say that the p value is insignificant and we fail reject the null hypothesis

Thus, we can conclude that this student from a private university don't has higher test taking ability.