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For a normal random variable X with mean 70 and standard deviation 10.
(a) Calculate the probability that 60 < X < 80.
(b) Calculate the probability that X = 80.
(c) Calculate the probability of the event {X<60 or X >80}.
(d) On a statistics exam with grades normally distributed with mean 70 and standard deviation 10. To pass, students have to score in the 70th percentile or better, what is the minimum score necessary to pass?
Graph the information using a histogram and a scatter plot in Excel as well. How does seeing the information in a graphical format provide more information?
There is thought to be a relationship between a persons' educational attainment and the number of children he or she has. The hypothesis is that as one's educational level increases, he or she has fewer children.
Use this information to find the probability that an HRO officer selected from the group surveyed had problems with either employee absenteeism or employee turnover.
An unprepared student takes a three-question, true/false quiz in which he guesses the answers to all three questions, so each answer is equally likely to be correct or wrong.
How large a sample should be selected in order to estimate the population proportion to within a margin of error of 0.02 with 97% confidence. The sample proportion from the preliminary sample was 0.18.
How many boxes must the processor sample to be 95 percent confident that the sample mean does not differ from the population mean by more than 0.2 pounds?
What percentage of personal checking account customers carry average daily balances in excess of $800? What percentage of the banks customers carries average daily balances below of $200?
You manufacture and sell an iron rod whose electrical conductivity is supposed to be 10.1. You plan to make 6 measurements of the conductivity of a rod you plan to sell.
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Conduct a test at the .05 level of significance to determine if there is any difference in the mean selling price of new homes in Omaha versus Kansas City.
Under what conditions should you use the Chi-Square Test to determine whether there is a difference between proportions of two independent populations?
Jared bets on the number 7 for each of 100 spins of a roulette wheel. Because P(7) = 1/38 he expects to win two or three times. What is the probability that Jared will actually win two or more times?
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