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"10.50 At a large university, a mathematics placement exam is administered to all students. Samples of 36 male and 30 female students are randomly selected from this year's student body and the following scores are 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 76Female 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 81
a. Describe each set of data with a histogram (use the same class intervals on both histograms) the mean, standard deviation.b. Construct 95% confidence interval for the mean score for all male students. Do the same for all Female Students.c. Do the results found in part b show that the mean scores for males and females could be the same? Justify your answer. Be Careful!d. Construct a 95% confidence interval for the difference between the mean scores for the male and female students.e. Do the results found in part d show the mean scores for the male and females students could be the same? Explainf. Explain why the results in part b cannot be used to draw a conclusion about the difference between the two means.g. Analyze the problem and type a short summary (1-2 paragraphs) of the results.
Construct a 95 percent confidence interval for the population mean. Is it reasonable that the population mean is 28 weeks? Justify your answer.
Consider the following hypothesis test What is the value of the test statistic? What is the p-value? With a=.05, what is your conclusion, reject or accept?
Pools sells above ground model for 'p' dollars each. The monthly revenue from the sale of the pool is given by
Compute the two groups using Paired sample t-test. Compute which modification reduced the number of traffic accidents
The objective is to maximize the expected net return. Define the optimal value function and give the optimality equation. Find the optimal policy.
If an overrun contract was bid at 12 million dollars, what does the least-squares line predict for the cost of overrun (as a percent of bid price)?
20% of teenagers in a small town say they like reading news online. Suppose you randomly select 7 teenagers from the town and ask them whether or not they enjoy reading news online. Find the probability that at least 3 say they enjoy reading news ..
The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches?
Determine the probability of exactly one success given Poisson distribution with mean of 2.0.
A man is on trial accused of murder in the first degree. The prosecutor presents evidence that he hopes will convince the jury to reject the hypothesis that the man is innocent. This situation can be modeled as a significance test with the followi..
Use the binomial distribution in the Data Analysis add - in to simulate the distribution of men and women among the next ten arrivals at an emergency room, assuming that, on average, six people out of ten who arrive are men.
Using the .01 level, what should the researcher conclude? Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution, the cutoff (or cutoffs), and the scor..
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