In: Statistics and Probability
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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2.
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)
3.
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?