The shipment times in hours for a load of goods from a factory to market are tabulated in the following frequency distribution. Find the sample standard deviation s (in h). (Use the mean value 36 h to calculate the sample standard deviation rounded to the nearest whole number.)
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.
![Shipment time
(hours)
Midpoint
Frequency
f
Product
xf
22.5-27.5
25
2.
50
27.5-32.5
30
42
1,260
32.5-37.5
35
79
2,765
37.5-42.5
40
29
1,160
42.5-47.5
45
16
720
47.5-52.5
50
7.
350
S =
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