Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 78.7 Mbps. The complete list of 50 data speeds has a mean of x overbar equals17.78 Mbps and a standard deviation of sequals 37.85 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between minus 2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
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.
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 78.7 Mbps. The complete list of 50 data speeds has a mean of x overbar equals17.78 Mbps and a standard deviation of sequals 37.85 Mbps.
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