We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in anthropology is different from 535. So, we choose a random sample of exam scores. The sample has a mean of 520 and a standard deviation of 80. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 100, and it is from a non-normally distributed population with a known standard deviation of 76. O = It is unclear which test statistic to use. Aa (b) The sample has size 16, and it is from a normally distributed population with an unknown standard deviation. It is unclear which test statistic to use.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Question
We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in anthropology is different from 535. So, we choose a random sample of exam scores. The sample has a mean of 520 and a standard deviation of 80.

For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places.

(a) The sample has size 100, and it is from a non-normally distributed population with a known standard deviation of 76.

- \( z = \) [ ]
- \( t = \) [ ]
- It is unclear which test statistic to use.

(b) The sample has size 16, and it is from a normally distributed population with an unknown standard deviation.

- \( z = \) [ ]
- \( t = \) [ ]
- It is unclear which test statistic to use.
Transcribed Image Text:We want to conduct a hypothesis test of the claim that the population mean score on a nationwide examination in anthropology is different from 535. So, we choose a random sample of exam scores. The sample has a mean of 520 and a standard deviation of 80. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 100, and it is from a non-normally distributed population with a known standard deviation of 76. - \( z = \) [ ] - \( t = \) [ ] - It is unclear which test statistic to use. (b) The sample has size 16, and it is from a normally distributed population with an unknown standard deviation. - \( z = \) [ ] - \( t = \) [ ] - It is unclear which test statistic to use.
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