Mathematics > QUESTIONS & ANSWERS > WEEK 7 ASSIGNMENT HYPOTHESIS TEST FOR THE MEAN-POLUTION STANDARD DEVIATION KNOWN (All)
WEEK 7 ASSIGNMENT HYPOTHESIS TEST FOR THE MEAN-POLUTION STANDARD DEVIATION KNOWN Jamie, a bowler, claims that her bowling score is less than 168 points, on average. Several of her teammates do not be... lieve her, so she decides to do a hypothesis test, at a 1% significance level, to persuade them. She bowls 17 games. The mean score of the sample games is 155 points. Jamie knows from experience that the standard deviation for her bowling score is 19 points. •H0: μ≥168; Ha: μ<168 •α=0.01 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places? Provide your answer: Test statistic = -2.82 Correct answers: • Test statistic = −2.82 The hypotheses were chosen, and the significance level was decided on, so the next step in hypothesis testing is to compute the test statistic. In this scenario, the sample mean score, x¯=155. The sample the bowler uses is 17 games, so n=17. She knows the standard deviation of the games, σ=19. Lastly, the bowler is comparing the population mean score to 168points. So, this value (found in the null and alternative hypotheses) is μ0. Now we will substitute the values into the formula to compute the test statistic: z0=x¯−μ0σn√=155−1681917√≈−134.608≈−2.82 So, the test statistic for this hypothesis test is z0=−2.82. Distinguish between one- and two-tailed hypotheses tests and understand possible conclusions [Show More]
Last updated: 1 year ago
Preview 1 out of 19 pages
Instant download
Buy this document to get the full access instantly
Instant Download Access after purchase
Add to cartInstant download
MATH 225N Week 7 Bundle: Homework Assignments, Lab Assignment, Discussion (A+ Solutions & Guide)
By PROF 3 years ago
$60
12
Connected school, study & course
About the document
Uploaded On
Apr 29, 2021
Number of pages
19
Written in
This document has been written for:
Uploaded
Apr 29, 2021
Downloads
0
Views
58
In Browsegrades, a student can earn by offering help to other student. Students can help other students with materials by upploading their notes and earn money.
We're available through e-mail, Twitter, Facebook, and live chat.
FAQ
Questions? Leave a message!
Copyright © Browsegrades · High quality services·