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A coin that has been altered so that the probability of ?ipping heads is 0.4 is ?ipped twice. Let X be the number of heads ?ipped on the ?rst toss and let Y be the total number of heads in the two t
A test has a mean of 104 and a standard deviation of 16. We want to be 98% certain that we are within 4 points of the true mean. What is the required sample size?
From a deck of five cards numbered 2, 4, 6, 8, and 10, respectively, a card is drawn at random and replaced. This is done three times. What is the probability that the card numbered 2 was drawn exac
A group of 5 boys and 15 girls is lined up in random order. What is the probability that the person in the 4th position is a boy?
Write up a brief description of the problem with the conclusion drawn from the hypothesis test. Note that the problem is not in the calculations--assume the calculations are correct--but in the int
Two parts are assembled. The distributions of x1 and x2 are normal, with µ1 = 20, s1 = 0.3 and µ2 = 19.6, s2 = 0.4. The specifications of the clearance between the mating parts are 0.5 &
A standardized test has a mean of 104 and a standard deviation of 16. We want to be 98% certain that we are withing 4 points of the true mean. Determine the required sample size.
You are trying a new food recipe and the probability that a friend of yours likes that food is 0.85. If you invite 18 friends, find:
The professor gathers information from a random sample of students and obtains the statistics competency scores. The scores are normally distributed.
A teacher is interested in comparing the effects of three different types of rehearsal methods (Rote rehearsal, Imagery, and Story) on number of words recalled.
If the sample mean is 8, the hypothesized population mean is 4, and the population standard deviation is 2, compute the test value needed for the z test, assume n = 1.
A random sample of 60 undergraduates of a large university found that 32 were in support of an activity fee increase. Construct a 99% confidence interval for the true population proportion.
A health researcher read that 200 lb man can burn 546 calories/hour playing tennis. 36 man sample withe a mean of 544.8 calories Test the claim that the actual number of calories burned is actually
Eight participants are randomly assigned to three treatment conditions: Cognitive Therapy (CT), Cognitive-Behavioral Therapy (CBT), and Interpersonal Therapy (IT).
Why the test statistic for Goodness-of-Fit is similar to the calculation for Population Standard Deviation.
Find the minimum sample size you should use to assure that your estimate of will be within the required margin of error around the population p.
Find the margin of error for the 95% confidence interval used to estimate the population proportion. In a survey of 7100 T.V. viewers, 40% said they watch network news programs.
A researcher is interested in comparing the effectiveness of three different kinds of therapy for anger problems. Eight participants are randomly assigned to three treatment conditions:
A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both wi
Why did the insurance company raise the rates so much? How would you estimate a fair insurance rate?
Weights were measured for 5 female and 5 male beetle pupae. Test the hypothesis of no difference in mean weight of females and males versus the alternative that a difference exists. Use a 5% level o
Describe a decision-making scenario using your business experience, personal decision making or cited journal article; include an example of the decision-making process, describe the risk, and wheth
Compute the sample mean and standard deviation. Compute the estimated standard error for M.
What is the overall (university-wide) acceptance rate for men? For women? Try to explain the seeming contradiction between the dean's concerns and the department-level evidence.
How large a sample is needed to guarantee that the distribution of sample means is approximately normally distributed? Why?