Explanation Calculation: The given data represents the raking for current and recent graduate’s student in terms of professor teaching ability. The formula for the rank-correlation coefficient is given by: r s = 1 − 6 ∑ d 2 n ( n 2 − 1 ) . Here, ∑ d 2 is the sum of squares of the differences of the ranks of the data sets and n is the sample size. The value of the ∑ d 2 can be obtained as follows: Professor Current Students Recent Graduates d d 2 1 4 6 ( 4 − 6 ) = − 2 4 2 6 8 –2 4 3 8 5 3 9 4 3 1 2 4 5 1 2 –1 1 6 2 3 –1 1 7 5 7 –2 4 8 10 9 1 1 9 7 4 3 9 10 9 10 –1 1 ∑ d 2 = 38 Substitute n as 10 and ∑ d 2 as 38 in the formula, r s = 1 − 6 × 38 10 ( 10 2 − 1 ) = 1 − 228 10 ( 100 − 1 ) = 1 − 228 10 × 99 = 1 − 228 990 = 1 − 0.231 = 0.77 Hence, the rank-correlation between current students and recent graduates in terms of professor teaching ability is 0.77. The population rank correlation is denoted as ρ s . Here, the claim is that “there exist a significant rank-correlation between current students and recent graduates in terms of professor teaching ability”. State the hypotheses: The test hypotheses are given below: Null hypothesis: H 0 : ρ s = 0

Modern Business Statistics with Microsoft Excel (MindTap Course List)

5th Edition

ISBN: 9781285433301

Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams

Publisher: Cengage Learning

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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.

Chapter 18.5, Problem 37E

To determine

Check whether the rankings given by the current students agree with the rankings given by the recent graduates. Test for a significant rank correlation at the 0.10 level of significance.

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Chapter 18 Solutions

Modern Business Statistics with Microsoft Excel (MindTap Course List)

Ch. 18.1 - 1. The following hypothesis test is to be...Ch. 18.1 - 2. Ten individuals participated in a taste test...Ch. 18.1 - 3. The median number of part-time employees at...Ch. 18.1 - 4. Net assets for the 50 largest stock mutual...Ch. 18.1 - Prob. 5E Ch. 18.1 - Prob. 6E Ch. 18.1 - Prob. 7E Ch. 18.1 - Prob. 8E Ch. 18.1 - Prob. 9E Ch. 18.1 - Prob. 10E

Ch. 18.1 - Prob. 11E Ch. 18.2 - 12. Two fuel additives are tested to determine...Ch. 18.2 - 13. A sample of 10 men was used in a study to test...Ch. 18.2 - Percents of on-time arrivals for flights in 2006...Ch. 18.2 - Prob. 15E Ch. 18.2 - Prob. 16E Ch. 18.2 - Prob. 17E Ch. 18.3 - Two fuel additives are being tested to determine...Ch. 18.3 - Samples of starting annual salaries for...Ch. 18.3 - The gap between the earnings of men and women with...Ch. 18.3 - Prob. 21E Ch. 18.3 - Prob. 22E Ch. 18.3 - Police records show the following numbers of daily...Ch. 18.3 - A certain brand of microwave oven was priced at 10...Ch. 18.3 - Prob. 25E Ch. 18.4 - A sample of 15 consumers provided the following...Ch. 18.4 - Three admission test preparation programs are...Ch. 18.4 - Prob. 28E Ch. 18.4 - Prob. 29E Ch. 18.4 - A large corporation sends many of its first-level...Ch. 18.4 - Prob. 31E Ch. 18.5 - Prob. 32E Ch. 18.5 - 33. Consider the following two sets of rankings...Ch. 18.5 - Prob. 34E Ch. 18.5 - Prob. 35E Ch. 18.5 - 36. The rankings of a sample of professional...Ch. 18.5 - Prob. 37E Ch. 18 - 38. A survey asked the following question: Do you...Ch. 18 - Prob. 39SE Ch. 18 - Prob. 40SE Ch. 18 - Prob. 41SE Ch. 18 - Prob. 42SE Ch. 18 - Prob. 43SE Ch. 18 - Prob. 44SE Ch. 18 - Prob. 45SE Ch. 18 - Prob. 46SE Ch. 18 - Prob. 47SE

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