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Here is a simple probability model for multiple-choice tests. Suppose that a student has probability p of correctly answering a question chosen at random from a universe of possible questions. (A good student has a higher p than a poor student.) The correctness of an answer to any specific question doesn't depend on other questions. A test contains n questions. Then the proportion of correct answers that a student gives is a sample proportion from an SRS of size n drawn from a population with population proportion p.
(a) Julie is a good student for whom p = 0.8. Find the probability that Julie scores 75% or lower on a 100 question test.
(b) If the test contains 250 questions, what is the probability that Julie will score 75% or lower? (Use the normal approximation to the sampling distribution to solve this problem.)
Paired samples t-test for the given data - financial advice from the voluntary organization - A local voluntary organization affiliated to the Citizens Advice Bureau offers free financial advice to residents in the area who are registered debtors
The mean number of flaws per 100 m of material produced on a certain machine at Blanktown Fabrics is 2. If flaws occur randomly, find the probability that in 50 m of material there will be less than 2 flaws.
An electrical firm manufactures electric light bulbs that have a length of life which is normally distributed with mean and standard deviation equal to 500 and 50 hours, respectively.
Managers at Beta Technologies, Inc., have collected current annual salary figures and potentially related data for a random sample of 52 of the company's full-time employees.
Let x1, ..., xn be a random sample from an exponential distribution, X ~ EXP(theta) a) If x(bar) = 17.9 with n = 50, then find a one-sided lower 95% confidence limit for theta.
A University Counseling Clinic is interested in predicting the levels of depression from the number of social events attended per week by a sample of their clients. The data are below:
Which of the following does not explain a possible relationship between variables when the null hypothesis is rejected
Differentiate between descriptive statistics and inferential statistics. Provide an example for each. How does correlation analysis differ from regression analysis? What does a correlation coefficient reveal? Is correlation the same as causation?
Compute the median number of dependents?
For the sample of men, performance on the simulator task declined by an average of 2.9 points with s = 4.1. Is this a statistically significant change? Use a two-tailed test with = .05.
Using the least squares coded method, determine the equation for the straight line going through the earnings. Project, using the equation for the average hourly earnings for the year 1990
A cola dispensing machine is set to depense 9 ounces per cup with a standard deviation of .5 oz .THe manufacturer would like to set the control limits so that for samples of 16,
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