The file P02_45.xlsx contains the salaries of 30 business school professors at a (fictional) large state university. If you increased every professor's salary by $1,000, what would happen to the mean and median salary? Increase Mean $ Median $ If you increased every professor's salary by $1,000, what would happen to the standard deviation of the salaries? If your answer is zero, enter "0". Increase Std. Dev. $ If you increased every professor's salary by 5%, what would happen to the standard deviation of the salaries? If your answer is zero, enter "0". Increase Std. Dev. %
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The file P02_45.xlsx contains the salaries of 30 business school professors at a (fictional) large state university.
- If you increased every professor's salary by $1,000, what would happen to the
mean andmedian salary?Increase Mean $ Median $ Increase Std. Dev. $ Increase Std. Dev. %
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1
Professor
Salary
$190,000
$126,000
$152,000
$166,000
$146,000
$168,000
$156,000
$160,000
$152,000
$198,000
2
1
3
2
4
3
4
5
7
8
7
8
10
9
11
10
12
11
$120,000
13
12
$134,000
14
13
$134,000
15
14
$190,000
16
15
$140,000
17
16
$146,000
18
17
$112,000
19
18
$174,000
20
19
$142,000
21
20
$156,000
22
21
$140,000
23
22
$138,000
24
23
$130,000
25
$130,000
$152,000
$182,000
$180,000
$182,000
$138,000
$102,000
24
26
25
27
26
28
27
29
28
30
29
31
30
32
33
34
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