Question

In: Statistics and Probability

1. Data on students in liberal arts colleges in the U.S. was collected, and the average...

1. Data on students in liberal arts colleges in the U.S. was collected, and the average cost per student was recorded for each school. The following five-number summary was calculated for this data set: minimum= $17,554; first quartile = $23,115; median = $26,668; third quartile = $45,879; maximum=$102,262.

WHEN TYPING CORRECT NUMERICAL ANSWER TYPE: 12,345 NOT 12345 or $12345 or $12,345

a. Calculate the Upper Fence

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b. Using the definition of outlier discussed in your textbook, is the maximum an outlier (Yes/No)?

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c. Calculate the Lower Fence

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d. Using the definition of outlier discussed in your textbook, is the maximum an outlier (Yes/No)?

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Suppose an algebra professor found that the correlation (r) between study time (in hours) and exam score (out of 100) is +.80, and the regression line was found to be ExamScore = 20 + 4*HoursStudied. He arrived at this equation through years of collecting data on his students.

What is the explanatory variable?

What is the response variable?

Is there a positive relationship, a negative relationship or no relationship?

Is the relationship strong or weak?

What is the slope (type number):

What is the intercept (type number):

Predict the exam score for a student who studies 10 hours. (type number)

The quantitative reasoning GRE scores are known to approximately have a Normal distribution with a mean of μ = 151 points and a standard deviation of σ = 8 points.

FORMAT FOR PARTS 1-3: lowerbound, upperbound. using numbers as example: 5,10

1. Use the Empirical Rule to specify the ranges into which 68% of test takers fall.

2. Use the Empirical Rule to specify the ranges into which 95% of test takers fall.

3. Use the Empirical Rule to specify the ranges into which 99.7% of test takers fall .

FOR ANSWERS 4-5 type number ONLY: for example if 10% just type 10

4. What percentage of test takers score lower than 159?

5. What percentage of test takers scored between 135 and 151?

Solutions

Expert Solution

orchestra answered 1 year ago

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