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Give a probability distribution for the following:
In 1992, the Big 10 collegiate sports conference moved to have women compose at least 40% of its athletes within 5 years. Suppose they exactly achieve the 40% figure, and that 5 athletes are picked at random from Big 10 universities. The number of women is recorded.
For the probability distribution, you need to figure out the probabilities of 0 through (and including) 5 women. These are your x's. Put this in the form of a table. On the left hand side, put 0 through 5. On the right hand side, give the formula for each, and calculate. From the information about exactly 40%, we know that the probability of success (of being a female athlete picked) is .4. The rest is 1 - p. Figure out the n (given in the problem).
A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability the sample mean is
Differentiate between a point estimate and an interval estimate for a population parameter. What is necessary for an interval estimate to be a confidence interval?
Define the rejection region. State the statistical decision.
High precision titanium spheres are popular components in manufacturing of ball bearings. A factory has ordered a shipment of 5000 titanium spheres from aboard. It is found that the shipment has a mean radius of 1.5 cm with a standard deviation ..
In the real world, a given null hypothesis is false; but the collected data lead to the null hypothesis being accepted. That is, the data lead to a failure to reject the null hypothesis.
An unprepared student takes a three-question, true/false quiz in which he guesses the answers to all three questions, so each answer is equally likely to be correct or wrong.
illustrate briefly how an experimental study is conducted. What is the difference between the two types of variables used.
Explain probability distribution of X (name and parameters).
Find the margin of error in estimating the population mean: confidence level = 94%; sample size=86; sample mean = 113.5; and standard deviation = 12.7.
Equation of the regression line - Evaluate the equation of the regression line and Find y' when x=47 years.
The annual precipitation amounts in certain mountain range are normally distributed with a mean of 88 inches, and a standard deviation of 10 inches.
Suppose that among all participants, the mean test score is 70.07 and the standard deviation is 10.27. Use z-scores to interpret a raw score of 80. What is the corresponding z-score? How would you interpret this result? Show your work.
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