MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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We want to conduct a hypothesis test of the claim that the population mean daily profit of a convenience store is more than 568 dollars. So, we record the daily profit for a random sample of days. The sample has a mean of 571 dollars and a standard deviation of 72 dollars.

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 13, and it is from a 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 12, and it is from a population with a distribution about which we know very little.

- \( z = \) [ ]
- \( t = \) [ ]
- It is unclear which test statistic to use.
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Transcribed Image Text:We want to conduct a hypothesis test of the claim that the population mean daily profit of a convenience store is more than 568 dollars. So, we record the daily profit for a random sample of days. The sample has a mean of 571 dollars and a standard deviation of 72 dollars. 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 13, and it is from a 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 12, and it is from a population with a distribution about which we know very little. - \( z = \) [ ] - \( t = \) [ ] - It is unclear which test statistic to use.
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