Statistics Homework Solutions

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measure of central tendency

Here is Appendix N. I need to calculate the three measure of central tendency. Also, develop a five and seven class frequency distribution table for the data. Please show steps so that I can follow it to compare my solution.

computation of percentiles

a student took two exams and achieved the 7th highest grade on each of them. Forty three students took one of the tests(Math) and 197 students took the other test(Geography). Compare his performance on the two tests in terms of percentile ranks. In which exam did he do better? Please show computations and explain.

principle component analysis

the experiment went as follows: 6 samples were given 18 attributes following a sensory evaluation test. these have been put into s selection of charts - the first has the Plot of loadiing and has the 18 attributes dotted across the chart, X axis is PC1 and Y axis is PC2. a second chart has the same but has the 6 samples dotted ...continues

ANOVA

Response variable: personal ratings (how a subject likes or dislikes a particular concentration of a solution on a scale from 1 to 10). Independent variable 1: concentrations of a solution (5 levels: 5%,10%, 20%, 40%, 80%). Independent variable 2: two groups of subjects: Group A (sample size 50), Group B(sample size 60). ...continues

The mean of the exponential distribution.

Prove that the mean of the exponential distribution with parameter a is 1/a .

Working with binomial probability. A histogram is attached in a jpg format.

If the parents have 5 children, the number who have type O blood is a random variable X that has the binomial distribution with n=5 and p=0.25 a) What are the possible values of X? b) Find the probability of each value of X. Draw a histogram to display this distribution. (Because probabilities are long-run proportions, a hi ...continues

Multiplication Rule for Independent Event/General Addition rule for any two events

The distribution of blood types among white type Americans is approximately as follows: 37% type A, 13% type B, 44% type O, and 6% type AB. Suppose that the blood types of married couples are independant and that both the husband and the wife follow this distribution. a)An individual with type B blood can safely receive transfu ...continues

Binomial Probability

A factory employs several thousand workers, of whom 30% are Hispanic. If the 15 members of the union executive committee were chosen from the workers at random, the number of Hispanics on the committee would have the binomial distribution with n=15 and p=0.3 a)What is the probability that exactly 3 members of the committee are ...continues

Normal Approximation

Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering a question chosen at random from a universe of possible questions. (A strong student has a higher p than a weak student.) Answers to different questions are independant. Jodi is a good student for whom ...continues

Statistics

Hypothesis testing

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