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Q1) Sample of 25 concession stand purchases at October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with standard deviation of $3.02. For October 26 evening showing of the same movie, for sample of 25 purchases mean was $5.12 with standard deviation of $2.14. Means appear to be very close, but not variances. At α = .05, is there a difference in variances? Illustrate all steps clearly, including illustration of the decision rule.
Q2) In bumper test, 3 types of autos were deliberately crashed into barrier at 5 mph, and resulting damage (in dollars) was estimated. 5 test vehicles of each type were crashed, with the results shown below.
Research question: Are mean crash damages the same for these three vehicles?
Crash Damage ($)
Goliath
Varmint
Weasel
1,600
1,290
1,090
760
1,400
2,100
880
1,390
1,830
1,950
1,850
1,250
1,220
950
1,920
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Problems on Sampling Variability and Standard Error and Confidence Intervals
Estimate the population mean
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Find out the probability
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