In: Statistics and Probability
QUESTION 1
The Wall Street Journal reported that the average amount of time that a French person spends eating lunch at a restaurant is 22 minutes. Perform a hypothesis test to determine if a difference exists between the average time an American spends eating lunch when compared to a person from France. The following data represents the time, in minutes, that random French and American diners spent at lunch. Assume that the population variances are unequal.
American |
21 |
17 |
17 |
20 |
25 |
16 |
20 |
16 |
French |
24 |
18 |
20 |
28 |
18 |
29 |
17 |
If Population 1 is defined as French diner times and Population 2 is defined as American diner times, the correct hypothesis statement for this hypothesis test would be
A. | ||
B. | ||
C. | ||
D. |
10 points
QUESTION 2
The Wall Street Journal reported that the average amount of time that a French person spends eating lunch at a restaurant is 22 minutes. Perform a hypothesis test to determine if a difference exists between the average time an American spends eating lunch when compared to a person from France. The following data represents the time, in minutes, that random French and American diners spent at lunch. Assume that the population variances are unequal.
American |
21 |
17 |
17 |
20 |
25 |
16 |
20 |
16 |
French |
24 |
18 |
20 |
28 |
18 |
29 |
17 |
The degrees of freedom for this hypothesis test are ________.
A. |
10 |
|
B. |
14 |
|
C. |
15 |
|
D. |
9 |
10 points
QUESTION 3
The Wall Street Journal reported that the average amount of time that a French person spends eating lunch at a restaurant is 22 minutes. Perform a hypothesis test to determine if a difference exists between the average time an American spends eating lunch when compared to a person from France. The following data represents the time, in minutes, that random French and American diners spent at lunch. Assume that the population variances are unequal.
American |
21 |
17 |
17 |
20 |
25 |
16 |
20 |
16 |
French |
24 |
18 |
20 |
28 |
18 |
29 |
17 |
If Population 1 is defined as French diner time and Population 2 is defined as American diner time, the test statistic and its p-value for this hypothesis test would be ________.
A. | ||
B. | ||
C. | ||
D. |
10 points
QUESTION 4
Suppose Burger King has run a major advertising campaign in the hopes of increasing monthly sales. To investigate the effectiveness of this campaign, Burger King randomly selected six restaurants and recorded the monthly sales before and after the advertising. The following data represents these sales figures in thousands of dollars.
Restaurant |
1 |
2 |
3 |
4 |
5 |
6 |
After |
$123 |
$122 |
$145 |
$156 |
$160 |
$134 |
Before |
$107 |
$110 |
$143 |
$168 |
$145 |
$125 |
If difference d is defined as sales after the advertising campaign minus sales before the advertising campaign, the correct hypothesis statement for this hypothesis test would be
A. | ||
B. | ||
C. | ||
D. |