# Height of Students - Distributions & Deviations Report

20 students' heights were measured for statistic analysis, with the following results:

female 5'6, female 5'8, male 5'9, male 5'6, female 5'7, female 5'5, female 5'6, male 5'10, male 5'8, female 5'4, female 5'4, male 5'9, female 5'1, female 5'5, male 5'11, male 5'7, female 5'6, female 5'8, male 6'1. male 5'9

Please return a report with the following components:

1. Introduction

a) Identify and develop the problem

b) Indicate why this topic is timely or is of importance

c) State how the remainder of the paper is organized or divided into various sections

2. Body

a) Construct a frequency distribution or histogram for each gender

b) Graphically depict the data using two methods

c) Calculate the mean, median, and mode of each distribution

d) Calculate the standard deviation and one other measure of dispersion for each distribution

e) Comment on the results - on each distribution and compare the two distributions

f) Calculate a 95% confidence interval for the mean of each distribution

g) Test if each mean is significantly different from zero

3. Summary

About a paragraph. No new material should be included in this section, just a summary.

4. Conclusion

Indicate what problems that have encountered and make recommendation(s) for future researchers.

5. References

© BrainMass Inc. brainmass.com October 25, 2018, 9:28 am ad1c9bdddfhttps://brainmass.com/statistics/descriptive-statistics/575430

#### Solution Summary

The solution provides a page report on the distribution of students' heights by gender in Word including histograms, mean, median, mode, standard deviations, variance and results analysis for each gender with the gender differences and their significance (complete with confidence interval calculations) at the end. Workings are included as an Excel spreadsheet.

Basic Statistics: Mean, Standard Deviation, Probability, Normal Distribution

1) Adult American males have normally distributed heights with a mean of 5.8 feet and a standard deviation of 0.2 feet. What is the probability that a randomly chosen adult American male will have a height between 5.6 feet and 6.0 feet?

A. 0.6826

B. 0.5000

C. 0.9544

D. 0.7500

2) A jar contains 12 red jelly beans, 20 yellow jelly beans, and 16 orange jelly beans.

Suppose that each jelly bean has an equal chance of being picked from the jar.

If a jelly bean is selected at random from the jar, what is the probability that it is not red?

3) Which of the following statements is NOT true?

A. A probability must be less than or equal to 1.

B. If an event cannot possibly occur, then the probability of the event is a negative number.

C. If only two outcomes are possible for an experiment, then the sum of the probabilities of

the outcomes is equal to 1.

D. If events E and F are mutually exclusive events, then P(E Ç F) = 0.

4) In a certain manufacturing process, the probability of a type I defect is 0.09, the probability of a type II defect is 0.11, and the probability of having both types of defects is 0.03.

Find the probability that neither defect occurs.

A. 0.97

B. 0.77

C. 0.83

D. 0.80

5) Which of the following statements is NOT true?

A. The variance is the square root of the standard deviation.

B. The variance is a measure of the dispersion or spread of a distribution about its mean.

C. If all of the data values in a data set are identical, then the standard deviation is 0.

D. The variance must be a nonnegative number.

6) A contest has 20 finalists. One finalist is awarded first prize, another finalist is awarded

second prize, and another is awarded third prize. How many different ways could the prizes be awarded?

7) An advisory board of 5 students is to be chosen from a group of 12 students.

8 of the students are seniors and 4 of the students are juniors.

(a) In how many ways can the advisory board of 5 students be chosen from the group of 12 students?

(b) In how many ways can the 5-member advisory board be chosen from the group of 12

students, if 3 members must be seniors and 2 members must be juniors?

(c) If the 5-member advisory board is selected at random from the group of 12 students , what is the probability that the board consists of 3 seniors and 2 juniors?

8) According to a recent report, 0.65 is the probability that an American household is owner occupied. Six Americans households are randomly selected. Find the probability that exactly 4 of the 6 American households are owner-occupied.

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