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At a large university, a mathematics placement exam is administered to all students. Samples of 36 male and 30 females are randomly selected from this year's student body and the following scores recorded. Male 72 68 75 82 81 60 75 85 80 7071 84 68 85 82 80 54 81 86 7999 90 68 82 60 63 67 72 77 5161 71 81 74 79 76 Female 81 76 94 89 83 78 85 91 83 8384 80 84 88 77 74 63 69 80 8289 69 74 97 73 79 55 76 78 81Construct the 95% confidence interval for the difference between the mean scores for male and female students.
A developmental psychologist is studying memory development in children. He is interested in determining the exact age at which children began to recall long-term episodic memories.
The scores on the certain test are "normally distributed with mean 61" and "standard deviation 3". Determine the probability that the sample of 100 students will have the mean score of at least 61.3?
Quality Progress, February 2005, reports on the results achieved by Bank of America in improving customer satisfaction and customer loyalty by listening to the voice of the customer.
Suppose the Internal Revenue Service is studying the category of charitable contributions. A sample of 26 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000.
Your friend tells you that the proportion of active Major League Baseball players who have a batting average greater than .300 is greater than 0.56, a claim you would like to test. The hypotheses for this test are Null Hypothesis: p ≤ 0.56, Altern..
Using a two-tailed test with a=.05 is there a significant difference between the two treatment conditions? c. compute r2 to measure the percentage of variance accounded for the by the treatment effect.
Flu cases this past season in the Oshkosh school system were about 15 per week. For the entire state, the weekly average is 16 and the standard deviation, 2.35.
For each data set, compute and save g(m hat). Then do the following: Plot the histogram of B values of g(m hat)and sqrt(n)*[g(m hat)- g(m )].
What is the probability that exactly 3 tomatoes in a randomly selected tray of 20 tomatoes will be too ripe. In each tray of 20 tomatoes, how many would be expected to be too ripe?
High School GPA is normally distributed with a mean of 3.06 and a standard deviation of 0.40. The probability of a randomly chosen student having a HS GPA between 3.54 and 3.80 is
Ski resort profits $1,500,000 during a good winter with lots of snow. The resort has a loss of $500,000 otherwise. The resort's historical climate data suggests that the probability of a good winter with lots of snow during any given year is 40%.
The weights of adult males is normally distributed with a mean of 200 pounds and a standard deviation of 40 pounds. Calculate the probability that an adult male weighs less than 130 pounds.
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