Question

**A random sample of 64 second-graders in a certain school
district** are given a standardized mathematics skills test.
The **sample** mean score is 51.21. Assume the
standard deviation for the population of test scores is 15. The
nationwide average score on this test is 50. The school
superintendent wants to know whether the second-graders in her
school district have greater math skills than the nationwide
average. Perform the hypothesis test and compute the p-value. Round
to four decimal places.

Answer #1

This is the right tailed test .

The null and alternative hypothesis is

H_{0} :
= 50

H_{a} :
> 50

Test statistic = z

= ( - ) / / n

= (51.21 - 50) / 15 / 64

Test statistic = 0.65

P(z > 0.65) = 1 - P(z < 0.65) = 0.2578

**P-value = 0.2578**

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