Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. City_#1 City_#2 100 117 86 84 121 100 120 85 101 90 104 107 213 110 136 111 290 126 100 133 289 101 145 209 Use a 0.01 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. The test statistic is The P-value State the conclusion for the test. a ) reject, There is sufficient evidence to support the claim that the mean amount of strontium-90 from city #1 residents is greater. b )reject, There is not sufficient evidence to support the claim that the mean amount of strontium-90 from city #1 residents is greater. c ) fail to reject, There is sufficient evidence to support the claim that the mean amount of strontium-90 from city #1 residents is greater. d ) fail to reject, There is not sufficient evidence to support the claim that the mean amount of strontium-90 from city #1 residents is greater. Construct a confidence interval suitable for testing the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. Does the confidence interval support the conclusion of the test? (yes/no) because the confidence interval contains (zero, only positive values/only negative values)

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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Listed in the data table are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from residents in two cities. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. City_#1 City_#2 100 117 86 84 121 100 120 85 101 90 104 107 213 110 136 111 290 126 100 133 289 101 145 209 Use a 0.01 significance level to test the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. The test statistic is The P-value State the conclusion for the test. a ) reject, There is sufficient evidence to support the claim that the mean amount of strontium-90 from city #1 residents is greater. b )reject, There is not sufficient evidence to support the claim that the mean amount of strontium-90 from city #1 residents is greater. c ) fail to reject, There is sufficient evidence to support the claim that the mean amount of strontium-90 from city #1 residents is greater. d ) fail to reject, There is not sufficient evidence to support the claim that the mean amount of strontium-90 from city #1 residents is greater. Construct a confidence interval suitable for testing the claim that the mean amount of strontium-90 from city #1 residents is greater than the mean amount from city #2 residents. Does the confidence interval support the conclusion of the test? (yes/no) because the confidence interval contains (zero, only positive values/only negative values)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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