Answered: Amstat News (December 2004) lists…

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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Question

Amstat News (December 2004) lists median salaries for associate professors of statistics at research institutions and at liberal arts and other institutions in the United States. Assume a sample of 200 associate professors from research institutions having an average salary of $70,750 per year with a standard deviation of $6000. Assume also a sample of 200 associate professors from other types of institutions having an average salary of $65,200 with a standard deviation of $5000. Test the hypothesis that the mean salary for associate professors in research institutions is $2000 higher than for those in other institutions. Use a 0.05 level of significance. Solution needed like in the pic attached

1.
Ho u = 45, there is no increase in copies
> 45, there is an increase in copies
H,
2.
a = 0.05
3.
One tailed test
4.
Critical region t = +2.92, df = 2
5.
Test Statistic
47-45
T =
= 3.47
www.com
1 √3
6.
Decision: Reject Ho
7.
Conclusion: The increase in copies in our samples is statistically
significant. It is not the result of chance of variation.

A certain printing press is known to turn out an average of
45 copies a minute. In an attempt to increase its output,
an alteration is made to the machine, and then in 3 short
test runs it turns out 46, 47, and 48 copies a minute. Is
this increase statically significant, or is it likely to be
simply the result of chance of variation? Use a significance
level of 0.05

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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