Answered: The student body at many community…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

See similar textbooks

Related questions

Question

The student body at many community colleges is considered a "commuter population". The following question was asked of the Student Affairs Office at one such college: "How far (one way) does the average community college student commute to college daily?" The office answered: "20.0 miles or less." The inquirer was not convinced of the truth of this and decided to test the statement. She took a random sample of 55 students and found a mean commuting distance of 21.5 miles. Test the statement made by the Students affairs Office at a significance level of 0.01. Assume that the population standard deviation is known to be 5.1 miles. Use the P-Value Method of Testing.

1. The null hypothesis, Ho

2. The alternative hypothesis, H1

3. The test statistic

4. The type of test(left, right, two-tailed) and the p-value

5. The decision to accept Ho or reject Ho

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution