Are you smarter than a second-grader? A random sample of 61 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x = 45. Assume the standard deviation of test scores is σ = 20. The nationwide average score on this test is 50. The school superintendent wants to know whether the second-graders in her school district have weaker math skills than the nationwide average. Use the α = 0.01 level of significance and the P-value method with the TI-84 calculator. State the appropriate null and alternate hypotheses. 1. H0: μ = 50, H1: μ < 50 This hypothesis test is a one-tailed test. 2. p-value? 3. Does it reject or not reject?
Added by Charles K.
Step 1
The appropriate null and alternative hypotheses are: H0: μ = 50 (The mean score of second-graders in the school district is equal to the nationwide average score of 50) H1: μ < 50 (The mean score of second-graders in the school district is less than the Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 86 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Are you smarter than a second-grader? A random sample of 60 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x̄ = 55. Assume the standard deviation of test scores is ̃̃ = 9. The nationwide average score on this test is 53. The school superintendent wants to know whether the second-graders in her school district have different math skills than the nationwide average. Use the ̃ = 0.10 level of significance and the P-value method with the table. State the appropriate null and alternate hypotheses. H0: H1: This hypothesis test is a test.
Sri K.
Are you smarter than a second-grader? A random sample of 62 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x̄ = 51. Assume the standard deviation of test scores is σ = 8. The nationwide average score on this test is 53. The school superintendent wants to know whether the second-graders in her school district are different from the nationwide average. Use the α = 0.05 level of significance and the critical value method. Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0: μ = 53 H1: μ ≠ 53 This hypothesis test is a two-tailed test. Part 2 of 5 Find the critical value(s). Round the answer(s) to three decimal places, if necessary. If there is more than one critical value, separate them with commas. Critical value(s):
Ana Carolina D.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD