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1. In an exam, the mean score is 70 and the variance is 16. What is the probability that a student's score will lie within the "54 to 86" range? (Hint: Use Chebyshev's inequality, as we saw in class). What percentage of students will lie within 2 standard deviations on either side of the mean score?
2. You are the CEO of a company that sells a product and your sales advisor tells you that the anticipated consumer demand for your product during next year follows a Normal distribution with mean 1,200 units and standard deviation 100 units.
a) What is the probability that sales will exceed 1,000 units?
b) What is the probability that sales will be between 1,100 and 1,300 units?
c) The probability is 10% that sales will be more than how many units?
One suggested environmental determinant of pediatric lung function is the level of cigarette smoking in the home. A researcher wants to do a pilot study with two groups:
If p is the probability of Event 1 and (1-p) is the probability of Event 2, based on the expected returns, for what values of p would you select A? B? C? Values in the table are payoffs.
An owner of a fast food restaurant reported to corporate headquarters that the average bill paid by his customers in the last quarter was $6.20 and that the standard deviation was $1.90.
The distribution of SAT scores is normal with a m=500 and a standard deviation of o=100. What SAT scores (X values) separate
The number of girls who attend a summer basketball camp has been recorded for the seven years the camp has been offered.
Using the .05 significance level, can we conclude that there is a positive association between the two variables?
In a regression analysis, three independent variables are used in the equation based on a sample of forty observations. What are the degrees of freedom associated with the F-statistic?
Based on the information in part (a), what decision should the director make about the books used for the courses if the goal is to keep the cost below $300?
Formulate the hypotheses that can be used to determine whether the mean of all account balances is significantly different from $1,150
How large should n be so that a 90% confidence interval for µ has a margin of error and What is the P-value for a test of the hypotheses
The Greenberg public hearing meeting turned stormy. Citizens from four suburbs were gathered at city hall to try to get the city's federal funds for their own suburbs. The government recently awarded $750,000 to the city for road improvements. The..
At α = .05, is there a difference in variances? Illustrate all steps clearly, including illustration of the decision rule.
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