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A sample of 25 concession stand purchases at the May 12 matinee of Spider-Man 3 showed a mean purchase of $ 7.29 with a standard deviation of $ 3.02. For the May 18 evening showing of the same movie, for a sample of 25 purchases the mean was $ 7.12 with a standard deviation of $ 2.14. The means appear to be very close, but not the variances. At @ = .05, is there a difference in variances? Show all the steps clearly, including an illustration of the decision rule.
For the samples summarized below, test the hypothesis at =0.05 that the two variancees are equal.
Estimate with 95% confidence the mean reduction in time it takes for someone who has taken the sleeping pill to fall asleep.
Find the equation of linear regression for the above data and obtain the expected salary for an engineer with 45 years of experience. Round to the nearest $100.
A tetrahedron is a fully-symmetric pyramid-like solid, with four faces made up of equal-sized equilateral triangles. Suppose that the four faces contain different number of spots, from one spot to four spots, so that the tetrahedron may be rolled ..
In a nationwide survey of n = 1,030 adults, 6% answered yes to the question "During the last year did anyone break into or somehow illegally get into your home or apartment?"
At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, "You can average $72 a day in tips." Assume the population of daily tips is normally distributed with a standard deviation of $2.45.
Test against the null hypothesis of a one sided alternative that the difference is more than 10 minutes. Use a .1 level of significance (alpha).
The assembly time for a product is uniformly distributed between 6 to 10 minutes.
One flight daily to a certain destination. The following information shows the probability distribution of late arrivals for that flight in the past month:
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.
The table below shows the scores of a group of 15 students in mathematics and art: Determine if the locations of distribution of scores for these students differ significantly for the two subjects. Use the hand calculation method and then use PHSta..
If x is a binomial random variable where n=100 and p=.1, find the probability that x is less than or equal to 11 using the normal approximation to the binomial.
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