instructions in Problem 1. 4. Many ancient Egyptian tombs were cut from limestone rock that contained uranium. Since most tombs are not well ventilated, guards, tour guides, and visitors may be expoOsed to deadly radon gas. In a research article, a study of radon exposure in tombs in the Valley of Kings, Luxor, Egypt (recently opened for public tours), was conducted. The radon levels measured in becquerels per cubic meter (Bq/m)-in the inner chambers of a sample of 9 tombs were determined. Summary statistics follow: 7 3, 973 Bq/m and s = 4, 297 Bq/m. Use this information to estimate, with 95% confidence, the true mean level of radon exposure in tombs in the Valley of Kings. You may assume that the radon levels in the tombs in the Valley of Kings are normally distributed. (a) The 95% confidence interval for 4, the mean level of radon exposure in tombs in the valley of Kings, is (rounded to two decimal places) (i) (1, 165.63, 6, 780.37) (ii) (670.03, 7275.97) (iii) (992.08, 6, 293.92) (iv) (3, 127.78, 4, 158.22) (b) Repeat part (a), however, this time use the z-distribution to approximate the confidence interval. In this case, the confidence interval is (i) (1, 165.63, 6, 780.37) (ii) (670.03, 7275.97) (iii) (992.08, 6, 293.92) (iv) (3, 127.78, 4, 158.22) (c) Do you see a discrepancy between the answers to part (a) and part (b)? If I said that radon levels below 7,000 Bq/m' were considered safe (and above 7,000, unsafe), would you be 95% confident that it is safe for you to visit a tomb in the Valley of the Kings? Explain.
instructions in Problem 1. 4. Many ancient Egyptian tombs were cut from limestone rock that contained uranium. Since most tombs are not well ventilated, guards, tour guides, and visitors may be expoOsed to deadly radon gas. In a research article, a study of radon exposure in tombs in the Valley of Kings, Luxor, Egypt (recently opened for public tours), was conducted. The radon levels measured in becquerels per cubic meter (Bq/m)-in the inner chambers of a sample of 9 tombs were determined. Summary statistics follow: 7 3, 973 Bq/m and s = 4, 297 Bq/m. Use this information to estimate, with 95% confidence, the true mean level of radon exposure in tombs in the Valley of Kings. You may assume that the radon levels in the tombs in the Valley of Kings are normally distributed. (a) The 95% confidence interval for 4, the mean level of radon exposure in tombs in the valley of Kings, is (rounded to two decimal places) (i) (1, 165.63, 6, 780.37) (ii) (670.03, 7275.97) (iii) (992.08, 6, 293.92) (iv) (3, 127.78, 4, 158.22) (b) Repeat part (a), however, this time use the z-distribution to approximate the confidence interval. In this case, the confidence interval is (i) (1, 165.63, 6, 780.37) (ii) (670.03, 7275.97) (iii) (992.08, 6, 293.92) (iv) (3, 127.78, 4, 158.22) (c) Do you see a discrepancy between the answers to part (a) and part (b)? If I said that radon levels below 7,000 Bq/m' were considered safe (and above 7,000, unsafe), would you be 95% confident that it is safe for you to visit a tomb in the Valley of the Kings? Explain.
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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Transcribed Image Text:Note: In Problem 4, o is unknown AND the sample size is small. Show your work per the
instructions in Problem 1.
4. Many ancient Egyptian tombs were cut from limestone rock that contained uranium. Since most
tombs are not well ventilated, guards, tour guides, and visitors may be exposed to deadly radon gas. In a
research article, a study of radon exposure in tombs in the Valley of Kings, Luxor, Egypt (recently opened
for public tours), was conducted. The radon levels-measured in becquerels per cubic meter (Bq/m³)-in
the inner chambers of a sample of 9 tombs were determined. Summary statistics follow: 7 = 3, 973 Bq/m?
and s = 4, 297 Bq/m. Use this information to estimate, with 95% confidence, the true mean level of
radon exposure in tombs in the Valley of Kings. You may assume that the radon levels in the tombs in
the Valley of Kings are normally distributed.
(a) The 95% confidence interval for u, the mean level of radon exposure in tombs in the valley of Kings,
is (rounded to two decimal places)
(i) (1, 165.63, 6, 780.37)
(ii) (670.03, 7275.97) (iii) (992.08, 6, 293.92) (iv) (3, 127.78, 4, 158.22)
(b) Repeat part (a), however, this time use the 2-distribution to approximate the confidence interval. In
this case, the confidence interval is
(i) (1, 165.63, 6, 780.37)
(ii) (670.03, 7275.97) (iii) (992.08, 6, 293.92) (iv) (3, 127.78, 4, 158.22)
(c) Do you see a discrepancy between the answers to part (a) and part (b)? If I said that radon levels
below 7, 000 Bq/m³ were considered safe (and above 7,000, unsafe), would you be 95% confident that it
is safe for you to visit a tomb in the Valley of the Kings? Explain.
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