What percent of the data lies between 10 and (about) 18

| August 31, 2017

Question
Please show all work to receive full credit. If you use a calculator, write down what steps you used in the calculator. Answers without supporting work will only receive half credit. (Exception: you do not need to show work for multiple choice questions.)

1. Consider the boxplot below.

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18

• What percent of the data lies between 10 and (about) 18?

• What percent of the data lies below 10?

• Determine the median.

• Determine the interquartile range.

2. Consider the following samples of final exam grades for an Intro to Psychology course:

Set A: 63 68 79 32 57 74 92 70 82 36

Set B: 92 65 81 95 85 77 80 72 90 64

• Determine the means for each set of data. You may use a calculator.

• Determine the standard deviation for this data. You may use a calculator. What do the standard deviations imply about the two sets of data?

3. A sample of the 2013 salaries, rounded to the nearest thousand, of the employees of a public school district outside of Philadelphia are listed below. Which measure of central tendency is best to use? Find it and explain.

$48,000, $48,000, $48,000, $50,000, $52,000, $53,000, $54,000, $65,000, $66,000, $122,000

4. Suppose that the mean height of 10th grade boys is 69 inches with a standard deviation of 2 inches and that it follows a normal distribution. Using the empirical rule, determine the following. Remember to show your work and appropriately shade the curves provided.

• The percentage of 10th grade below with a height below 67 inches.

• The percentage of 10th grade boys with a height between 65 and 73 inches.

5. In complete sentences, state what is wrong with each statement below.

a. The probability that a student will pass the driving test on the first try is .35, while the probability that he will not pass the driving test on the first try is .55.

b. The probability that a cross country runner does not run in the state meet and still receives a scholarship for cross country is -0.06.

6. Two dice are rolled. What is the probability of rolling a sum of 8?

7. In your own words, explain mutually exclusive events. Give an example to clarify.

8. An urn contains 6 red marbles and 4 black marbles. Two marbles are drawn without replacement from the urn. What is the probability that both of the marbles are black?

9. Consider the chart below. Then determine the following probabilities.

• P(woman AND 69 or younger)

• P(woman OR 69 or younger)

10. There are 20 people who work in an office together. Four of these people are selected to go to the same conference together. How many such selections are possible?

11. 50 seniors competed for 3 scholarships. The first scholarship is for $25,000, the second scholarship is for $15,000 and the third scholarship is for $5,000. In how many ways can the scholarships be awarded?

Previous Assignment Part 2:

Combine the 50 pieces of data from two people below with your fifty pieces of data and determine the proportion. How close to 0.1667 is your number now?

First Person’s data

1. I rolled one 6 out of ten rolls of the die. My proportion would be 0.1

2. I rolled six 6’s out of 40 rolls of the die . My proportion of 50 times total rolling the die would be 0.175.

3. My proportion became a larger number with the increased times I was able to roll the die.

Second Person’s data:

1. I rolled a 6 on the die one time. The proportion of 6’s is .1.

2. I rolled a 6 on the die 11 times. The proportion of 6’s is .24.

3. My proportions increased by over double when I increased the number of rolls.

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