Question Help Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.4 Mbps. The complete list of 50 data speeds has a mean of x = 17.78 Mbps and a standard deviation of s = 18.34 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 -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? a. The difference is Mbps. (Type an integer or a decimal. Do not round.)
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 Help
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.4 Mbps. The complete list of 50 data
speeds has a mean of x = 17.78 Mbps and a standard deviation of s = 18.34 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 -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed
significant?
a. The difference is Mbps.
(Type an integer or a decimal. Do not round.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2719fc3b-9e1c-4d95-8db1-4590ccf91ac1%2F21d4fe35-2c36-4916-963d-1daf8031a56a%2Ftjg6cj.jpeg&w=3840&q=75)
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