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12. Six coins of the same type are discovered at an archaeological site. If their weights on the average are significantly different from 5.25 grams then it can be assumed that their provenance is not the site itself. The coins are weighed and have a mean of 4.73 g with a sample standard deviation of 0.18 g. Perform the relevant test at the 0.1% th of 1%) level of significance, assuming a normal distribution of weights of all such coins.

12. Six coins of the same type are discovered at an archaeological site. If their weights on the average are significantly different from 5.25 grams then it can be assumed that their provenance is not the site itself. The coins are weighed and have a mean of 4.73 g with a sample standard deviation of 0.18 g. Perform the relevant test at the 0.1% th of 1%) level of significance, assuming a normal distribution of weights of all such coins.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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12. Six coins of the same type are discovered at an archaeological site. If their weights on the average are significantly different from 5.25 grams then it can be assumed that their provenance is not the site itself. The coins are weighed and have a mean of 4.73 with a sample standard deviation of 0.18 g. Perform the relevant test at the 0.1% th of 1%) level of significance, assuming a normal distribution of weights of all g such coins. 13. The recommended daily allowance of iron for females aged 19-50 is 18 mg/day. A careful measurement of the daily iron intake of 15 women yielded a mean daily intake of 16.2 mg with sample standard deviation 4.7 mg. a. Assuming that daily iron intake in women is normally distributed, perform the test that the actual mean daily intake for all women is different from 18 mg/day, at 10% level of significance. b. The sample mean is less than 18, suggesting that the actual population mean is less than 18 mg/day. Perform this test, also at 10% level of significance. (The computation of the test statistic done in part (a) still applies here.)
Transcribed Image Text:12. Six coins of the same type are discovered at an archaeological site. If their weights on the average are significantly different from 5.25 grams then it can be assumed that their provenance is not the site itself. The coins are weighed and have a mean of 4.73 with a sample standard deviation of 0.18 g. Perform the relevant test at the 0.1% th of 1%) level of significance, assuming a normal distribution of weights of all g such coins. 13. The recommended daily allowance of iron for females aged 19-50 is 18 mg/day. A careful measurement of the daily iron intake of 15 women yielded a mean daily intake of 16.2 mg with sample standard deviation 4.7 mg. a. Assuming that daily iron intake in women is normally distributed, perform the test that the actual mean daily intake for all women is different from 18 mg/day, at 10% level of significance. b. The sample mean is less than 18, suggesting that the actual population mean is less than 18 mg/day. Perform this test, also at 10% level of significance. (The computation of the test statistic done in part (a) still applies here.)
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