Question 18 A random sample of 15 song lengths (in minutes) on a playlist found: = 275.6, s = 12.9. %3D Build a 80% Cl for the population mean length of a song on the playlist. Round all intermediate calculations to two decimals, then construct the Cl and enter like this: (min,max). Note: if you use a built-in Cl command on a calculator/computer, you might get marked wrong due to rounding. Use the formulas given in the text/notes.
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.
![• Question 18
%3D
A random sample of 15 song lengths (in minutes) on a playlist found: = 275.6, s = 12.9.
Build a 80% Cl for the population mean length of a song on the playlist.
Round all intermediate calculations to two decimals, then construct the Cl and enter like this:
(min,max).
Note: if you use a built-in Cl command on a calculator/computer, you might get marked wrong due
to rounding. Use the formulas given in the text/notes.
a. Since n < 30,
O It is important that song lengths be normally distributed
O We use s, not o
O We use a T-interval
O We use a Z-interval
b. The Cl is:
octor
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