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Question: The distribution of grades in a large statistics course is as follows.
Outcome: Grade
Outcome: Numerical Value for the Grade
Probability
A
4.0
.3
B
3.0
C
2.0
.2
D
1.0
.1
F
0.0
Total
a. Set up the calculation for the expected grade in terms of numerical value for the grade.
b. What does the quantity in a above represent? Explain.
Test the hypothesis that the annual incomes of Teachers in areas of more than 500,000 are significantly more than those in areas of less than 100,000. Use the 5% level of risk.
Find the mean and the standard deviation of the sampling distribution of x bar, and find an interval containing 95.44 percent of all possible sample mean returns.
Explain clearly what is meant by a false negative rate of 5% and a false positive rate of 15%. If the population were screened, what proportion would be expected to test negative for metropathy?
Here are heart rates for a sample of 30 students before and after a class break. At alpha =.05, was there a significant diffeence in the mean heart rate?
Of the adults in Jefferson County, 10% have had CPR training
The sample mean is 60 kilograms (kg). Suppose that the mean weights of male runners follow a normal distribution with unknown mean mu and standard deviation of 5 kg (sigma). What is the 95% confidence interval for mu?
Of the next 15 people that invest in this project, what is the probability that 5 or less people will result an annual net cash flow of at least $100,000.
The intelligence Quotient test scores normally distributed with a mean of 100 and a standard deviation of 15.
You own a $46,000 portfolio comprised of four stocks. The values of stocks A, B, and C are $5,600, $16,700, and $11,400, respectively. What is the portfolio weight of stock D?
The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distributed. In a recent year, the mean test score was 21.1 and the standard deviation was 5.0.
Health Outcome of Interest
A school only accepts students with the top 20% of sat scores. The sat has a mean of 500 and a standard deviation of 100. what actual score should be used as the cut-off score?
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