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Q1) Production Company creates DVD's by thousands. Though, sometimes there are minor defects in DVD's which make them "faulty" by industry standards. For one company, they evaluate that 3% of their DVD's are defective, and should be exchanged/returned for refund by customer. Best Buy buys DVD's from this company, which is where you usually shop. Assume you buy 20 DVD's.
a) Determine the probability that exactly one of the CD's is defective?
b) Find out the probability that at least one of the CD's is defective?
c) Determine probability all of the CD's are in good condition (not defective)?
Q2) A particular population is evaluated to be made up of 26% college graduates (regardless of degree). If we arbitrarily choose 100 people from this population, determine the probability that our sample contains at least 30 college graduates?
Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.
Using Analysis of Variance (ANOVA) test at 5% level if there are important differences in mean sales calls made across the three branches.
At.01 significance level, is there relationship between job pressure and age?
Assuming we can verify that the data set is approximately normally distributed, what percentage of times will the server be down less than 24 minutes?
If the estimate is to be within 8 mpg of the true mean with 98% confidence and the estimated standard deviation is 22 mph, how large a sample size must be taken?
A random sample of 15 paired observations has a correlation of -.46. Can we conclude that the correlation in the population is less than zero? Use the .05 significance level.
Test hypothesis that both propellants have same mean burning rate. Utilize α=0.05. Compute the P value.
The world record time (in minutes) in the marathon is plotted versus the year in which the record was set for men and women separately. The plotting symbol o is used for men and x for women. The data include only records set between 1908 and 1988.
Give three logically possible directions of casualty, indicating for each direction whether it is a reasonable explanation for the correlation in light of the variables involved (and why).
Carry out the suitable calculations to test for effect modification. Interpret your results.
Estimating a linear regression equation to predict the future values of the dependent variable Y.
If 1 man aged 18-24 is arbitrarily chosen, determine the probability that his serum cholesterol level is between 165 and 200.
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