Question

Question 12

A random sample of 64 second-graders in a certain school
district are given a standardized mathematics skills test. The
sample mean score is 51.12 . 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.

Write down your P-value. You will need it for the next
question.

Round your answer to four decimal places (for example:
0.2305). Write only a number as your answer.

Question 13

Recall the previous question where the school superintendent
wanted to know whether second-graders in her school district have
greater math skills than the nationwide average. Based on your
P-value, what is the conclusion if we test at the 0.05 level of
significance?

Question 13 options:

There is evidence to conclude that the second-graders in her
district do not have greater math skills.

There is evidence to conclude that the second-graders in her
district have greater math skills.

This is not enough evidence to conclude that the
second-graders in her district have greater math skills.

There is not enough evidence to conclude that the
second-graders in her district do not have greater math
skills.

Answer #1

I have done both approach, P value and critical value- region approach .

please rate the answer if u like it.

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.

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