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For a standard normal distribution (u=0,Q=1) find:
a. The probability of z falling between -1.96 and +1.96
b. The probability of a z falling above 1.96
c. if the probabilty of a z falling a point is 5% what is the z value?
d. The probability of a z falling between two points equidistant from the mean, one to the left of the mean and the other to the right og the mean is 99% what are the z ranges.
Home mortgage interest rates for 30-year fixed rate loans vary throughout the country. During the summer 2000, data available from various parts of the country suggested that the standard deviation of the interest rates
The mean return for the random sample of 33 mutual funds is 14.93 percent with a standard deviation of 9.57. Test the null hypothesis: H0: mu = 15% at α = 0.05.
The average daily jail population in the United States is 706,242. If the distribution is normal and the standard deviation is 52,145, find the probability that on a randomly selected day the jail population is:
A personnel manager for a large corporation feels that there may be a relationship between absenteeism and age and would like to use the age of a worker to develop a model to predict the number of days absent during a calendar year.
Now he wants to know if there is a difference between the three formats. Is there?
The following data from a sample of 100 families show the record of college attendance by fathers and their oldest sons: in 22 families, both father and son attended college; in 31 families, neither father nor son attended college; in 12 families,..
The Financial Advisor exam has a mean of 500 and a standard deviation of 20. If the bank chooses to hire either Steve or Mark based solely on their exam performance, who is the bank more likely to hire? Show evidence for your answer.
In order to compare the means of two populations, independent random samples of 484 observations are selected from each population, with the following results:
What are the probabilities of accepting lots that are 10 percent, 20 percent, and 30 percent defective? Estimate the probability of accepting a lot that is 15 percent defective.
An entomologist writes an article in a scientific journal, which claims that fewer than 7 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce..
Consumer Reports magazine tested paints. The table below shows the overall quality score and cost in dolllars per gallon. Test for a correlation. Based on these results, do you get better quality paint by paying more?
You are interested in knowing if there is a statistical difference in driving speeds between Day 1 and Day 10. Which statistical test would be appropriate? Why?
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