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Suppose X, Y, and C represent the length, width, and perimeter of a flat rectangular sheet metal part. Note that X is a normal random variable having a mean of 15 cm and a standard deviation of 1 cm, and Y is independent of X and normally distributed with a mean of 25 cm and a standard deviation of 2 cm. Determine the following.
(a) the expected value of the perimeter
(b) the standard deviation of the perimeter
(c) the probability that the perimeter is between 76 cm and 82 cm
(d) the perimeter that is exceeded by 99% of the sheet metal parts
According to a recent survey, 275 of 400 middle-aged Americans said they used the Internet regularly. 140 of 400 senior citizens said they used the Internet regularly.
Consider the experiment- "the next integer generated." Define the following: Event A = "Odd number" = (1,3,5,7) and Event B "number more than 4" = 5,6,7,8.
Over a 20 year period, the average grade point average of applicants to our graduate program has been found to be 3.27. This year the mean grade point average of the 57 students applying to our graduate program is 3.53
Calculate expected value for each decision and choose the best one. Find out how much firm would be eager to pay to a market research firm to gain better information about future market conditions.
Do a two-sample test for equality of means assuming equal variances. Calculate the p-value. Comparison of GPA for randomly chosen college juniors and seniors: ¯ x1 = 3.05, s1 = .20, n1 = 15, ¯ x2 = 3.25, s2 = .30, n2 = 15, α = .025, left-tailed t..
A researcher is interested in the relationship between caffeine consumption and activity level for elementary school children. A sample of 20 children is obtained and the children are separated into two roughly equivalent groups.
What can we conclude from this summary, Which of the following statements is correct and In which of the following situations would permutation tests be suitable
wayne collier designed an experiment to measure the fuel efficiency of his family cat under different tire pressures.
The width of a confidence interval is equal to twice the value of the margin of error. Explain your answer. What is the first step in hypothesis testing?
Test the null hypothesis that the telephone survey technique has a probability of selecting a household with no children that is equal to the value obtained by the census.
In order to do so, they review 42 service calls and construct a 95% confidence interval for population mean: (2.468, 2.743). What can we conclude about the significance test of Ho: mu = 2.6 vs Ha: mu does not equal 2.6?
What is the probability that the person will be hospitalized for a drug-related problem, given that the person has received the PMI sheet?
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