W meldor 4. Consider the follov arrive at Carolyn's 39 38 30 41 30 4: 45 51 4. 43 45 00.0E 3 46 42 43.175 on a) Find the mean b) Sketch a histog c) Is it reasonable d) If yes, what rar the Empirical E 95% of all time
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.
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4. Consider the following times (rounded to the nearest minute) it took for a bus to
arrive at Carolyn's stop after the previous bus had left.
39
38
36
43
36
57
48
48
47
41
30
41
(47 08
41
43
44
45
51
45
45
46
42
44
37
43
45 00.0 39
51 02
46
42
45
33
46
42
46
30
42
53
56
34
43.175
on
a) Find the mean and standard deviation for these times.
b) Sketch a histogram of this data set and describe its shape.
c) Is it reasonable to use the Empirical Rule with this data set, why or why not?
d) If yes, what range of wait times would encompass 95% of all times according to
the Empirical Rule? If no, what is the range of wait times that would
95% of all times according to this data?
rslusic
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