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A metropolitan school district consists of three districts - north, south, and central. The north district contains 25% of all students, the south district contains 40%, and the central district 35%. A minimum competency test was given to all students; 10% of the north district students failed, 15% of the south district students failed, and 5% of the central district students failed.
a. Develop a probability tree showing all marginal, conditional and joint probabilities.b. Develop a joint probability table.c. What is the probability that a student selected at random failed the test?
What is the F critical value to be used at the 0.05 level of significance with 7 numerator degrees of freedom and 12 denominator degrees of freedom?
Find a 90% confidence interval for the population average µ of the percentage of hospitals providing at least some charity care.
What is the variance and standard deviation (of profit, NOT of tire life) for producing an all weather tire? Of producing a high performance tire?
The variance of the return per share is 4 for stock 1 and 100 for stock 2. The covariance of the return between the two stocks is 5 per share. Use the total variance of the investment as investment risk.
Normal distribution has mean of 80 and standard deviation of 14. Find out the value above which 80 percent of values will occur.
What is the probability that the contaminated can is selected for testing?
A regression model between sales (Y in $1,000), unit price (X 1 in dollars) and television advertisement (X 2 in dollars) resulted in the following function: = 7 - 3X1 + 5X 2 For this model SSR = 3500, SSE = 1500, and the sample size is 18...
People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7% of the American population have O-negative blood.
Employ the table of standard normal probabilities (z table) to answer the following questions.
Standard deviation of $50. Provide a 95% confidence interval estimate of the variance of the population of the checking accounts.
If you use a 0.10 level of significance in a two-tail hypothesis test, what is your decision rule for rejecting a null hypothesis that the population mean is 500 if you use the Z test?
If 64 students were randomly sampled, the probability that the sample mean of the sampled students exceeds 73.5 minutes is approximately 0.
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