1. The following data contains the cost (in cents) per 1-ounce serving for a sample of 7 chocolate chip cookies.
23 36 43 7 43 25 47
Compute the following stats.
a) Mean, Median, mode
b) Range, IQR, Variance, Standard deviation, coefficient of variation
c) Z scores. Are there any outliers?
2. The Starting admission price data for 1 day tickets in 6 theme parks in the US is as follows:
41 42 29 50 62 43
a) compute Q1, Q3 and the inter quartile range
b) list the five number summary
3. The following is a set of data from a sample of 8 items:
X 8 3 6 10 12 4 9 15
Y 24 9 18 30 36 12 27 45
a) Compute covariance
b) Compute correlation coefficient
c) Explain how strong is the relationship between X and Y?
4. Each year ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the cars have been categorized according to if the car needs warranty related repair (yes or no) and the country in which it is manufacturing the car is based (Japanese or not Japanese). Based on the data collected, the probability that the new car needs warranty repair is (0.04), the probability that the car is manufactured by a Japanese based company is (0.6). The probability that the car needs warranty repair and was manufactured by a Japanese based company is (0.025). Suppose that you know that the particular car has been manufactured in a Japanese based unit. What is the probability that the car needs warranty repair?
5. The following data contains the capacity of petrol (in liters) for a sample of 7 cars in the garage.
24 35 41 9 40 22 48
Compute the following stats.
d) Mean, Median, mode
e) Range, IQR, Variance, Standard deviation, coefficient of variation
f) Z scores. Are there any outliers?
6. The average price data for 1 barrel petrol in in the last 6 months in the US is as follows:
110 104 105 95 98 90
a) compute Q1, Q3 and the inter quartile range
b) list the five number summary
7. The following is a set of data from a sample of 8 items:
X 8 3 6 10 12 4 9 15
Y 24 9 18 30 36 12 27 45
d) Compute covariance
e) Compute correlation coefficient
f) Explain how strong is the relationship between X and Y?
8. A sample of 500 respondents was selected in a large metropolitan area to study consumer behavior, with the following results:
|
ENJOYS SHOPPING
|
|
GENDER
|
|
|
FOR CLOTHING
|
Male
|
Female
|
Total
|
|
Yes
|
136
|
224
|
360
|
|
No
|
104
|
36
|
140
|
|
Total
|
240
|
260
|
500
|
|
|
|
|
a) Suppose the respondent chosen is a female. What is the probability that she does not enjoy shopping for clothing?
b) Suppose the respondent chosen enjoys shopping for clothing.
What is the probability that the individual is a male?
c. Are enjoying shopping for clothing and the gender of the individual statistically independent? Explain.