1. Let sample mean = 70 and the sample variance = 36 and assume the data is normally distributed. Use ths information to answer the following:

a. what is the median of this data set?
b. find an interval that would contain 68% of all data values from the sample.
c. find the x-value that corresponds to the 16th percentile
d. what is the z-score associated with x=80

2. In a certain city, the fire department typically responds to eight emergencies per month. Last month the department responded to two emergencies. Some of the employees at the fire station believe that because of last month's numbers, they are more likely to see above average emergency call rates this month. How would you respond to their position?

Solution Preview

1. Let sample mean = 70 and the sample variance = 36 and assume the data is normally distributed. Use this information to answer the following:

A. What is the median of this data set?
Since the normal curve is symmetric with respect to its mean, the median will be equal to the mean mu=70.

B. Find an interval that would contain 68% of all data values from the sample.
Since the variance is 36, the standard deviation is sigma=root of 36=6. ...

Solution Summary

The emergency call rates for statistical probability is examined in the solution. The intervals and data values are determined.

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