Question 5

Consider the following hypotheses:

H₀: mean = 7

H₁: mean 7

A test is performed with a sample of size 36. The sample mean was 2.46 and the population standard deviation is 18. Assume that the population is approximately normal. Use the TI-84 PLUS calculator to compute the P-value.

Round your answer to four decimal places (for example: 0.0138). Write only a number as your answer.

Question 6

A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is 51.74 . 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 7

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 7 options:

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

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