US retail gas price
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Please show work where appropriate. Unless otherwise indicated, round all answers to 3 decimal places. Unless otherwise noted, each answer is worth 3 percentage points.
 Examine the stem plot for US retail gas price (in dollars per gallon) from May 4, 2012: (You must use proper reasoning when interpreting the stem plot.)
32  0
33  7 7 7 8 9 9 9 9
34  0 0 0 0
35  4 8
36  0
37  9 9 9 9
38  4 5 5 5 5 5 6 9 9
39  9
40  0
 Find the 5 number summary for this stem plot____________________________________
 An upper outlier would be above what price? ____________________________________
 Find the zvalues that enclose the middle 30% of area under the normal distribution.
__________________
 The following data represents the weights of newborn babies (in pounds):
8.2 7.3 5.4 5.9 9.1 6.5 7.3 7.5 6.6 8.5 6.8 7.5 9.3 7.8 8.7
 Find the mean weight a._________________
 Find the standard deviation of weights b.__________________
 Find the IQR of the weights c.
 Christine scored 95 on a math test where the class mean was 84 with standard deviation 8. On the same day she scored 92 on an economics test where the mean was 85 with standard deviation 5. Assume both test distributions were normal. On which test did Christine have the better score compared to the other students in the class? Use statistics to explain your answer.
 Body temperatures of healthy adults are normally distributed with a mean of 98.6 ^{o}F and a standard deviation of 0.73 ^{o}F. What is the probability of a healthy adult having a body temperature less than 99.6 ^{o}F or greater than 100.6 ^{o}F?
 Suppose that motorist in the Pacific Northwest use a mean of 8.2 gallons of gasoline per week with a standard deviation of 0.47 gallons. Assume that gasoline consumption levels are approximately normally distributed.
 What percentage of PNW drivers use more than 9.0 gallons of gasoline per week?
 What percentage of PNW drivers use an amount of gasoline that differs from the mean by more than 0.5 gallons per week?
___________________
 The volume of oxygen consumed (in liters per minute) while a person is at rest and while he or she is exercising (running on a treadmill) was measured for each of 50 subjects. The goal is to determine if the volume of oxygen consumed during aerobic exercise can be estimated from the amount consumed at rest. The results are plotted below.
 The response variable is: _______________
 The rvalue is approximately: _______________
 Suppose that the mean calorie intake for women is 2050 calories per day, with a standard deviation of 175 calories. Assume that calorie intakes follow a normal distribution. Using the689599.7 rule, what percentage of women consume between 1875 and 2400 calories per day?
___________________
 Suppose that the amount that individuals pay for health insurance per month is normally distributed. If the middle 60% of these individuals pay between $330 and $510 per month, find the mean and standard deviation of this distribution.
Mean______________
St. Dev_____________
 Y = .483X + 43.169 is a regression line describing the relationship between the average number of fat grams consumed per day, X, and the amount of weight lost (in pounds), Y, over a period of six months. The rvalue for this relationship is r = .958.
 Predict the weight loss for a person who consumed an average of 50 fat grams per day.
 In this situation, what is the meaning of 43.169? ___________________
 Does the rvalue of .958 indicate that the intake of fat grams causes a person to lose weight? Be very specific about your answer.
 A clerk entering salary data into a company spreadsheet accidentally put an extra “0” in the boss’s salary (which is the highest salary in the company), listing it as $2,000,000 instead of $200,000. Explain how this error will affect the following statistics for company payroll and why:
 Mean
 Median
 Standard deviation
 IQR
 Determine whether the following data represents categorical or quantitative data. (2 pts each)
 Amount of weight gained by each person in a group of college freshman. ______________
 Lengths of the yachts docked at the Beach Harbor Yacht Club _________________
 Bank account PIN numbers _________________
 Total dollar value of all items placed in each safe deposit box at a local bank. ____________
 Letter grades on students’ English essays _________________
 Data collected on the total number of minutes people spent in the local emergency room revealed that patients spent on average 166.9 minutes in the ER, with a standard deviation of 55.4 minutes. Assume that the times collected follow a normal distribution.
 What percentage of the ER patient population spent less than 3 hours there?
 What percentage of the ER patient population spent between 2.5 and 3.5 hours there?
 20% of the ER patients spent less than what amount of time there?
 The following scores were obtained on the first Statistics test during Summer quarter:
54,83,84,64,69,93,81,96,72,89,93,68,73,91,90,85,91,75,87,70,77,94,100
 Find the 5number summary for the data. _____________________
 Draw a horizontal box plot for this data, include your scale on the axis below.
________________________________________________________________________
 Are there any outliers? If so, identify them. ______________________
 The following chart represents information about the class size in a particular high school and the performance on a state achievement test.

Class size 15 17 18 20 21 24 26 29 Average Test Score 85.3 86.2 85.0 82.7 81.9 78.8 75.3 72.1
 Find the correlation coefficient, r, for this data. ___________________
 Find the equation of the regression line for this data. ___________________
Bonus: Birth weights in Norway are normally distributed with a mean of 3570 grams. If 40% of the weights are above 3697 grams, find the standard deviation. (Show work.)
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Category: Algebra homework