Explanation Calculation: The variables x and y represents wind direction at 5 A.M. and 5 P.M. respectively. From the given information the value of α is 0.05, and the information indicate a difference in the average weekly incomes of electricians compared to those of carpenters. The null and alternative hypothesis is, Null hypothesis: H 0 : The distributions of wind directions at 5 A.M. and 5 P.M. are same. Alternative hypothesis: H 1 : The distributions of wind directions at 5 A.M. and 5 P.M. are different. Test statistic : The z value for the sample test statistic x is, z = x − 0.5 0.25 n In the formula n is the total number of plus and minus signs, x is the total number of plus signs divided by n , p is proportion specified in H 0 , and q = 1 − p . The sign is obtained by taking the difference of electricians and carpenters. If the difference is positive then assign ‘+’ to the corresponding data pair. If the difference is negative then assign ‘–’ to the corresponding data pair. If the difference is zero then remove the data pair from the calculation. The standard normal distribution is used as the sampling distribution for the sign test. The signs are, x y Difference Sign of difference 177 142 35 + 140 142 –2 – 197 217 –20 – 224 125 99 + 49 53 –4 – 175 245 –70 – 257 218 39 + 72 35 37 + 172 147 25 + 214 205 9 + 265 218 47 + 110 100 10 + 193 170 23 + 180 245 –65 – 190 117 73 + 94 140 –46 – 8 99 –91 – 93 60 33 + There are eleven positive signs and totally 18 positive and negative signs are there. The value of x is, x = number of plus signs total number of signs = 11 18 = 0

Understandable Statistics: Concepts and Methods

12th Edition

ISBN: 9781337119917

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

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Chapter 11, Problem 4CURP

To determine

Check whether the claim that the distributions of wind directions at 5 A.M. and 5 P.M. are different or not.

Interpret the results.

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Chapter 11 Solutions

Understandable Statistics: Concepts and Methods

Ch. 11.1 - Statistical Literacy To apply the sign test, do...Ch. 11.1 - Prob. 2P Ch. 11.1 - Economic Growth: Asia Asian economies impact some...Ch. 11.1 - Debt: Developing Countries Borrowing money may be...Ch. 11.1 - Education: Exams A high school science teacher...Ch. 11.1 - Prob. 6P Ch. 11.1 - Prob. 7P Ch. 11.1 - Prob. 8P Ch. 11.1 - Prob. 9P Ch. 11.1 - Prob. 10P

Ch. 11.1 - Prob. 11P Ch. 11.1 - Prob. 12P Ch. 11.2 - Prob. 1P Ch. 11.2 - Prob. 2P Ch. 11.2 - Prob. 3P Ch. 11.2 - Prob. 4P Ch. 11.2 - Prob. 5P Ch. 11.2 - Prob. 6P Ch. 11.2 - Prob. 7P Ch. 11.2 - Prob. 8P Ch. 11.2 - Prob. 9P Ch. 11.2 - Prob. 10P Ch. 11.2 - Prob. 11P Ch. 11.3 - Prob. 1P Ch. 11.3 - Statistical Literacy Consider the Spearman rank...Ch. 11.3 - Prob. 4P Ch. 11.3 - Prob. 5P Ch. 11.3 - Prob. 6P Ch. 11.3 - Prob. 7P Ch. 11.3 - Prob. 8P Ch. 11.3 - Prob. 9P Ch. 11.3 - Prob. 10P Ch. 11.3 - Prob. 11P Ch. 11.4 - Prob. 1P Ch. 11.4 - Prob. 2P Ch. 11.4 - Prob. 3P Ch. 11.4 - Prob. 4P Ch. 11.4 - Prob. 5P Ch. 11.4 - Prob. 6P Ch. 11.4 - Prob. 7P Ch. 11.4 - Prob. 8P Ch. 11.4 - Prob. 9P Ch. 11.4 - Prob. 10P Ch. 11.4 - Prob. 11P Ch. 11.4 - Prob. 12P Ch. 11 - Prob. 1CRP Ch. 11 - Prob. 2CRP Ch. 11 - Prob. 3CRP Ch. 11 - Prob. 4CRP Ch. 11 - Prob. 5CRP Ch. 11 - Prob. 6CRP Ch. 11 - Prob. 7CRP Ch. 11 - Prob. 8CRP Ch. 11 - Prob. 9CRP Ch. 11 - Prob. 10CRP Ch. 11 - Prob. 1CURP Ch. 11 - Prob. 2CURP Ch. 11 - Prob. 3CURP Ch. 11 - Prob. 4CURP Ch. 11 - Prob. 5CURP Ch. 11 - Prob. 6CURP Ch. 11 - Prob. 7CURP

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Running Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner’s time at the each of each lap, obtaining the data in the following table. (a) What was the man’s average speed (rate) between 68 s and 152 s? (b) What was the man’s average speed between 263 s and 412 s? (c) Calculate the man’s speed for cadi lap, Is he slowing down, speeding up, or neither?
Running Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runners time at the end of each lap, obtaining the data in the following table. aWhat was the mans average speed rate between 68 s and 152 s? bWhat was the mans average speed between 263 s and 412 s? cCalculate the mans speed for each lap. Is he slowing down, speeding up or neither? Time s Distance m 32 200 68 400 108 600 152 800 203 1000 263 1200 335 1400 412 1600

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Check whether the claim that the distributions of wind directions at 5 A.M. and 5 P.M. are different or not. Interpret the results.

Solution Summary: The author analyzes whether the distributions of wind directions at 5 A.M. and 5 P.

Check whether the claim that the distributions of wind directions at 5 A.M. and 5 P.M. are different or not. Interpret the results.

Chapter 11 Solutions

Check whether the claim that the distributions of wind directions at 5 A.M. and 5 P.M. are different or not.

Interpret the results.