a. Explanation Calculation: The given data represents the raking of 11 states based on expenditure per student and student-teacher ratio. 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: State Expenditure per Student Student-Teacher Ratio d d 2 Arizona 9 10 ( 9 − 10 ) = − 1 1 Colorado 5 8 –3 9 Florida 4 6 –2 4 Idaho 2 11 –9 81 Iowa 6 4 2 4 Louisiana 11 3 8 64 Massachusetts 1 1 0 0 Nebraska 7 2 5 25 North Dakota 8 b. To determine Explain whether there appear to be a relationship between expenditure per student and student-teacher ratio at α = 0.05 level.

Statistics for Business & Economics (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

13th Edition

ISBN: 9781305585317

Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran

Publisher: Cengage Learning

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Question

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 34E

To determine

Find rank-correlation between expenditure per student and student-teacher ratio.

To determine

Explain whether there appear to be a relationship between expenditure per student and student-teacher ratio at α=0.05 level.

Expert Solution & Answer

Chapter 18 Solutions

Statistics for Business & Economics (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Ch. 18.1 - The following hypothesis test is to be conducted....Ch. 18.1 - Ten individuals participated in a taste test...Ch. 18.1 - The median number of part-time employees at...Ch. 18.1 - Net assets for the 50 largest stock mutual funds...Ch. 18.1 - The median price of homes in Austin, Texas is...Ch. 18.1 - The median annual income for families living in...Ch. 18.1 - Prob. 7E Ch. 18.1 - A Pew Research Center survey asked adults if their...Ch. 18.1 - In a recent poll six hundred adults were asked a...Ch. 18.1 - Nielsen Media Research identified Empire and the...

Ch. 18.1 - Competition in the personal computer market is...Ch. 18.2 - Two fuel additives are tested to determine their...Ch. 18.2 - A sample of 10 men was used in a study to test the...Ch. 18.2 - Percents of on-time arrivals for flights in the...Ch. 18.2 - A test was conducted for two overnight mail...Ch. 18.2 - The LPGA ANA Inspiration tournament was held in...Ch. 18.2 - The Scholastic Aptitude Test (SAT) consists of...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 - Are Southern and Western states equally prone to...Ch. 18.3 - Each year Bloomberg Businessweek publishes...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 - Chicago Midway International Airport and...Ch. 18.4 - A sample of 15 consumers provided the following...Ch. 18.4 - Three admission test preparation programs are...Ch. 18.4 - Forty-minute workouts of one of the following...Ch. 18.4 - The National Football League (NFL) holds its...Ch. 18.4 - A large corporation sends many of its first-level...Ch. 18.4 - The better-selling candies are often high in...Ch. 18.5 - Consider the following set of rankings for a...Ch. 18.5 - Prob. 33E Ch. 18.5 - Prob. 34E Ch. 18.5 - A national study by Harris Interactive, Inc.,...Ch. 18.5 - Prob. 36E Ch. 18.5 - A student organization surveyed both current...Ch. 18 - A survey asked the following question: Do you...Ch. 18 - Due to a recent decline in the housing market, the...Ch. 18 - Twelve homemakers were asked to estimate the...Ch. 18 - Prob. 41SE Ch. 18 - The following data are product weights for the...Ch. 18 - A client wants to determine whether there is a...Ch. 18 - Prob. 44SE Ch. 18 - Prob. 45SE Ch. 18 - Prob. 46SE Ch. 18 - Prob. 47SE

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Find rank- correlation between expenditure per student and student-teacher ratio.

Solution Summary: The author calculates the rank-correlation between expenditure per student and student-teacher ratio.

Find rank-correlation between expenditure per student and student-teacher ratio.

Explain whether there appear to be a relationship between expenditure per student and student-teacher ratio at α=0.05 level.

Chapter 18 Solutions