Question
Question 1: The following TI- 84 Plus display presents some sample statistics. 1-Var-Stats x =77 x=2291 x2 =182,361 Sx=8 x=8.024961059 n=29 (a) Assume that a
Question 1:
The following TI-
84
Plus display presents some sample statistics.
1-Var-Stats | ||
x =77 | ||
x=2291 | ||
x2 =182,361 | ||
Sx=8 | ||
x=8.024961059 | ||
n=29 | ||
(a) Assume that a histogram of the sample is bell-shaped. Approximately what percentage of the sample values are between 53 and 101.
Approximately blank % of the sample values fall between 53 and 101.
(b) Assume the population is bell-shaped. Between what two values will approximately 95% of the population be?
Approximately 95% of the population values will fall between blank and blank.
(c) If we do not assume that the population is bell-shaped, at least what percentage of the population will be between blank
and blank.
Question 2:
Sports car or convertible? The following table presents the fuel efficiency, in miles per gallon, for a sample of convertibles and a sample of sports cars.
Convertible Model | MPG | Sports Model | MPG |
---|---|---|---|
Volkswagen Eos | 25 | BMW 135i | 23 |
Mini Cooper | 25 | Mazda3 Mazdaspeed | 24 |
Saab 9-3 | 24 | Subaru Impreza WRX STi | 21 |
BMW 328i | 21 | Mazda RX-8 | 18 |
Toyota Camry Solara | 21 | Mitsubishi Lancer Evolution | 21 |
Volvo C70 | 21 | Volkswagen GTI | 25 |
(a) Find the sample standard deviation of the mileage for the sample of convertibles. Round the answer to one decimal place.
The sample deviation for the convertibles, in miles per gallon, is blank.
(b) Find the sample standard deviation of the mileage for the sample of sports cars.
Question 3:
Lunch break: In a recent survey of 693working Americans ages25-34, the average weekly amount spent on lunch as $44.36 with standard deviation $2.95. The weekly amounts are approximately bell-shaped.
(a) Estimate the percentage of amounts that were less than $41.41. Round the answer to one decimal place.
Approximately blank % of the amounts were less than $41.41.
(b) Estimate the percentage of amounts that were greater than.
(c) Estimate the percentage of amounts that were between.
Question 4:
For the data set:
27 | 13 | 3 | 5 | 7 | 4 | 13 | 6 | 6 | 3 | 11 | 6 |
8 | 7 | 3 | 5 | 5 | 8 | 15 | 3 | 4 | 4 |
Part 1 wants me to find the first and third quartile
Part 2 wants me to find the IQR
part 3 wants me to find the upper and lower outlier boundaries
Part 4 wants me to list all the values, if any, that are classified as outliers.
Question 5:
Hazardous waste: Following is a list of the number of hazardous waste sites in states in a recent year. The list has been sorted into numerical order. Construct a boxplot for these data. The median is 21, Q1 is 14, and Q3 is 35.
0 | 2 | 2 | 3 | 5 | 6 | 5 | 7 | 9 | 9 |
10 | 10 | 14 | 15 | 15 | 15 | 16 | 16 | 16 | 16 |
17 | 17 | 17 | 19 | 21 | 21 | 22 | 23 | 24 | 24 |
25 | 26 | 28 | 28 | 31 | 32 | 34 | 35 | 37 | 42 |
43 | 46 | 47 | 48 | 53 | 61 | 81 | 96 | 99 | 115 |
Construct a box plot for the given data.