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A nationally standardized test is scaled so that the normally distributed scores have a mean of 80 and a standard deviation of 10 in the population. If we have a group of 25 scores from this test, and compute the mean, what is the probability that this mean will be:
a. Below 82?
b. Below 76?
c. Above 80?
As reported by Runner's World magazine, the times of the finishers in the New York City 10-km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let x be the finishing time for a finisher in the New York ..
The market model relating the rate of return of stock XYZ (denoted RXYZ) to the rate of return Of a broader index of the stock market (denoted RM) is reported as:
What happens to the confidence interval when we go from a 95% confidence level to a 99% confidence level? Is this desirable? When would we want to use a 99% confidence interval?
Assume that female students' heights are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ = 2.6 in.
Forecast sales for the next day using a three-day weighted moving average where the weights are 3, 1, and 1 (the highest weight is for the most recent number).
Design a contingency table that will hold your data. What are your degrees of freedom and critical value at a 0.05 confidence level? You do not need data to answer this.
Test the hypothesis that the annual income of teachers in areas of more than 500,000 is significantly more than those in areas of less than 100,000. Use the 5% level of risk.
Determine the coefficient of correlation and the coefficient of determination. please show your calculations. Interpret the results.
A sample of the personal files of eight male employees revealed that during a six month period they lost the following number of days due to illness 2, 0, 6, 3, 10, 4, 1, 2. Calculate the standard deviation. show your work.
If the test is positive, what is the probability that this person actually has heart disease?
A standard deviation of $20, obtain the probability that a monthly landline phone bill for a household is less than $100.
A research firm conducted a survey to determine the mean amount people spend at a popular coffee shop during a week. They found the amounts spent per week followed a normal distribution with a population standard deviation of $4.
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