Question

Question 12 of 14 (1 point) Attempt 1 of Unlimited View question in a popup 8.2 Section Exercise 52 (p-value Are you smarter than a second-grader? A random sample of 51 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x = 44. Assume the standard deviation of test scores is o=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 different math skills from the nationwide average. Use the a=0.01 level of significance and the P-value method with the TI-84 calculator. Part: 0 / 4 Part 1 of 4 State the appropriate null and alternate hypotheses. H: This hypothesis test is a (Choose one) test.

Answer 1

Ans:

Η :μ = 50

097 11:TH

two tailed test

Test statistic:

z=(44-50)/(15/sqrt(51))

z=-2.86

p-value=2*P(z<-2.86)=0.0043

As,p-value<0.01,we reject the null hypothesis.

There is sufficient evidence to conclude that the second graders in her school district have different math skills from the nationwide average.