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A professor in the psychology department would like to determine whether there has been a significant change in grading practices over the years. It is known that the overall grade distribution for the department in 1985 had 14% As, 26% Bs, 31% Cs, 19% Ds, and 10% Fs. A sample of n=200 psychology students from last semester produced the following grade distribution:
A B C D F32 61 64 31 12
Does the data indicate a significant change in the grade distribution? Test at the .05 level of significance.
Again multiply 200 by the expected proportions given in the problem(i.e. 14%, 26%,... etc) to get the expected frequencies. Then use the formula to compute chi square.
A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes. What is the standard error of the mean?
A recent survey of 50 executives who were laid off durning a recent recession revealed it took a mean of 26 weeks for them to find another position. The standard deviation of the sample was 6.2 weeks. Construct a 95 percent confidence interval for..
1- ounce chocolate chip cookies resulted in following calorie amounts. At α=0.01 level, is there sufficient evidence that average calorie content is greater than 110 calories.
As part of a long-term study of individuals 65 years of age or older, sociologists and physicians at the Wentworth Medical Center in upstate New York conducted a study to investigate the relationship between geographic location and depression.
P(A 1 )= .20, P(A 2 ), and P(A 3 )= .40. P(B 1 I A 1 ) = .25. P(B 1 I A 2 ) = .05. P(B 1 I A 3 )=.10. Use Bayes' theorem to determine P(A 3 I B 1 )
Explain the purpose of the chi-square test for independence. Provide some practical examples where this test might be used in business.
Draw the distribution of the random variable X, representing her time of arrival. (Be sure to include labels and values on the axes.)
Experience raising New Jersey Red chickens revealed the mean weight of the chickens at five months is 4.35 pounds. The weights follow the normal distribution.
A math course has 2 sections. Section one has 55 students of which 10 received an A. Section two has 45 students of which 11 received an A. If a student was chosen randomly from 100 students
Suppose you are working with a data set that is normally distributed, with a mean of 300 and a standard deviation of 44. Determine the value of x from the following information.
At a local supermarket receiving dock, the number of truck arrivals per day is recorded for 100 days. Estimate the mean from the sample.
Depends on the satellite information illustrate what is the expected number µ of real forest fires on the Seward Peninsula.
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