Suppose that 7 male students take a survey and are asked for their height (in inches) and their shoe size. The results are below. height 72 70 68 67 76 69 67 shoe size 11 10 10 9 13 11 10 a.) Fill in for height only. No work needs shown. Use 2 decimal places. x̅ = __________ median = __________ s = __________ b.) Construct (hand-draw) a scatterplot of the data above, assuming you are using height to try to predict shoe size. c.) Interpret in words for this problem what you are seeing on your graph. Specifically, mention if you think there may be a relationship between height and shoe size, and explain why or why not. ______________________
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.
Suppose that 7 male students take a survey and are asked for their height (in inches) and their shoe size. The results are below.
height 72 70 68 67 76 69 67
shoe size 11 10 10 9 13 11 10
a.) Fill in for height only. No work needs shown. Use 2 decimal places.
x̅ = __________
b.) Construct (hand-draw) a scatterplot of the data above, assuming you are using height to try to predict shoe size.
c.) Interpret in words for this problem what you are seeing on your graph. Specifically, mention if you think there may be a relationship between height and shoe size, and explain why or why not.
______________________________________________________________________________
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