Answered: he Rocky Mountain district sales…

Name: The Rocky Mountain district sales manager of Rath Publishing, Inc., a
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The Rocky Mountain district sales manager of Rath Publishing, Inc., a college textbook publishing company, claims that the sales representatives make an average of 54 sales calls per week on professors. Several reps say that this estimate is too low.

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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The Rocky Mountain district sales manager of Rath Publishing, Inc., a college textbook publishing company, claims that the sales representatives make an average of 54 sales calls per week on professors. Several reps say that this estimate is too low. To investigate, a random sample of 52 sales representatives reveals that the mean number of calls made last week was 56. The standard deviation of the sample is 3.6 calls. Using the 0.100 significance level, can we conclude that the mean number of calls per salesperson per week is more than 54?

H₀ : μ ≤ 54

H₁ : μ > 54

(Round the final answers to 3 decimal places.)

The value of the test statistic is.

(Click to select) Accept Reject H₀ if t >. At the 0.100 significance level, the mean number of calls is (Click to select) greater less than 54 per week.

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 + ...

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