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1. Estimate the area under the Normal Distribution from the mean to a z-score of -2.07.
2. Estimate the z-score that corresponds to an area of 0.5557 under the Normal Distribution.
3. The average age of statistics students nationwide is 22. The standard deviation is 2.5 years. Assume the age is a normally distributed variable. Find the probability that one student selected at random is older than 23.
4. You will create a statistics quiz of 15 questions by using a computer program that randomly generates questions. The program has a total of 60 questions stored. Any quizzes that have the same questions just in a different order are considered to be the same quiz. How many different arrangements of quizzes are possible? You may leave your answer in "probability notation."
5. You are an American spy in eastern Afghanistan. At 6 o'clock, you are to transmit a secret message to your contact by taping a sequence of 3 capital letters of the alphabet in your window (example: ABC). Each arrangement of letters will be viewed as a different message by your contact. No letter can be used more than once. How many different messages are possible? You may leave your answer in "probability notation."
Constructing a scatter plot and determining correlation. a. display the data in a scatter plot, b. calculate the correlation coefficient f, and c. make a conclusion about the type of correlation.
Based on past data, the Student Recreation Center knew that the proportion of students who prefer exercising outside over exercising in a gym was 0.734. To update their records, the SRC conducted a survey. Out of 95 students surveyed, 76 indicated..
At the .05 significance level, is the number of units produced on the afternoon shift larger?
Finding the value of test statistic utilizing two-tail 't' test also interpret the result. The Commercial Bank as well as Trust Company is studying the use of its automatic teller machines.
If a sample of 25 workers found that the average work week is 48 hours, conduct a hypothesis test to determine if there is significant evidence that the length of the average work week has increased? Use alpha=.05
Create a scatterlpot of P_RFM and P_HELM. If drawing plot by hand, use graph paper to make sure accuracy. Be sure you label axes. After you have created the scatterplot, consider its form and direction. Recognize outliers, if any.
The measure of forecast accuracy that is not influenced by the measurement scale of the time series data is:
Standard deviation of 7. At 0.01 significance level, is there more variation in first population?
When the Sharpe Ratio for the market portfolio is 0.5, what risk-free rate Rf is the market anticipate? Draw on a diagram for the Capital Market Line derived from the above data. Make sure to clarify the intercept and the slope.
The mean amount of time a (unnamed) computer server is down is 18.3 minutes with a standard deviation of 5.7 minutes.
Evaluate true mean delivery time to within 5 minutes at 90% reliability level? Suppose that standard deviation for delivery times is 18.2 minutes.
Compute test statistic for sample data that you would use to test whether sample mean varies from population mean of 10 pounds at a 5 percent level of significance in two-tailed test.
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