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.

... Equal probabilities at all values of x 1 ... 1. Which of the following probability distributions would ... different terms on descriptive statistics including standard ...

... average of four, then the lambda (statistical term for ... The company can use the probability information gained ... For example, an emergency room is more likely to ...

... in the table, viz, (1) 50-999, (2) 1,000 ... is the F value found in a statistical table such ... Assumptions: 1. All 5 population probability distributions are normal ...

... specifically set up to treat minor medical emergencies for visitors ... of the statistic z follows the normal probability tanks and statistical distribution. ...

... a random sample of 15 emergency room cases ... t-statistic > 2.01669 Descriptive Statistics Mean Hypothesized Mean ... 0.0066898 gives the probability of rejecting a ...

Probability Problems. ... This posting contains solutions to following problems on statistics. ... 8. (5pts.) An emergency team responds to calls in a mean time of 8.4 ...

... Market Share Elasticities and Brand Switching Probabilities," Journal of ... advertisements in households, this research provides statistical data based on a ... 999. ...

... Recall from your study of statistics, assuming that ... By introducing probabilities, the expected marginal cost equation ... P )Cu where P is the probability that the ...