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In: Statistics and Probability

QUESTION 1 The Wall Street Journal reported that the average amount of time that a French...

QUESTION 1

  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

  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

    The degrees of freedom for this hypothesis test are ________.

    A.

    10

    B.

    14

    C.

    15

    D.

    9

10 points   

QUESTION 3

  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 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

  1. 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.

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