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Hypothesis Testing

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Hypothesis Testing Powered By Docstoc
					Instructions: This test consists of 7 questions each located on a separate sheets.
Print out your numbered answers and hand them in at the office.


Name ____________________________

                    Statistics Test on Hypothesis Testing Test



1) Sloppy Research, Inc. is interested in whether the average blood alcohol
content of males was higher than females for people who were in accidents
where drivers were under 26 years old and there was alcohol and property
damage involved. Test this hypothesis at the .05 level of significance.

Automobile Accident Investigation by Sloppy Research, Inc.

                        Alcohol      Property     People         Parent's
 Gender       Age       F. Level     Damage        Killed       Convictions
   F           21          1.1           1,000       0              0
   F           22          1.2           2,000       0              0
   F           25          1.1           1,000       0              0
   F           17          1.1          15,000       0              0
   F           19          1.5          70,000       2              2
   F           21          1.1           1,000       0              0
   F           21          1.2           2,500       0              0
   F           21          1.2          15,000       0              0
   F           24          1.2          10,000       0              1
   F           21          1.1           1,500       0              0
   F           22          1.1           2,000       0              0

 Gender       Age       M. Level     Damage        Killed       Convictions
   M           15          1.1         20,000        0              1
   M           21          1.1          1,500        0              0
   M           16          1.4         28,000        1              0
   M           22          1.2          1,500        0              0
   M           19          1.7         42,000        1              0
   M           20          2.4        150,000        4              1
   M           21          1.3          5,000        0              0
   M           21          1.4         25,000        0              0
   M           21          1.4         35,000        1              0
   M           22          1.1          1,000        0              0
M   23   1.1   10,000   0   0
M   24   1.1    5,000   1   0
M   18   1.6   35,000   2   1
M   17   1.5   30,000   1   2
M   21   1.2    2,000   0   0
M   15   1.2   22,000   0   1
M   20   1.2   10,000   0   0
M   21   1.4   30,000   0   1
M   21   1.3    5,000   0   0
2) Last year Sloppy Research, Inc. reported that the average blood alcohol
content was 1.19 for drivers who were in accidents where drivers were under
26 years old and there was alcohol and property damageinvolved. Test at the
.05 level of significance whether a sample of 30 collected this year indicates
there has been a change in average blood alcohol content for this type of driver.

    Automobile Accident Investigation by Sloppy Research, Inc.

                        Alcohol    Property     People     Parent's
 Gender        Age       Level     Damage        Killed   Convictions
   M            15        1.1        20,000        0          1
   F            21        1.1         1,000        0          0
   M            21        1.1         1,500        0          0
   M            16        1.4        28,000        1          0
   M            22        1.2         1,500        0          0
   F            22        1.2         2,000        0          0
   M            19        1.7        42,000        1          0
   M            20        2.4       150,000        4          3
   F            25        1.1         1,000        0          0
   M            21        1.3         5,000        0          0
   M            21        1.4        25,000        0          0
   M            21        1.4        35,000        1          0
   M            22        1.1         1,000        0          0
   M            23        1.1        10,000        0          0
   M            24        1.1         5,000        1          1
   F            17        1.1        15,000        0          0
   F            19        1.5        70,000        2          2
   F            21        1.1         1,000        0          0
   M            18        1.6        35,000        2          1
   F            21        1.2         2,500        0          0
   M            17        1.5        30,000        1          2
   F            21        1.2        15,000        0          0
   M            21        1.2         2,000        0          0
   M            15        1.2        22,000        0          1
   F            24        1.2        10,000        0          1
   M            20        1.2        10,000        0          1
   F            21        1.1         1,500        0          0
   M            21        1.4        30,000        0          1
   M            21        1.3         5,000        0          0
   F            22        1.1         2,000        0          0
3) Sloppy Research, Inc. is interested in whether the average blood alcohol
content affects the number of people killed in accidents where drivers were
under 26 years old and there was alcohol and property damage involved.
To aid in this analysis, they made the following chart. Test at the .01 level
of significance whether blood alcohol content and number of people killed
are independent.

    Automobile Accident Investigation by Sloppy Research, Inc.

                        Alcohol    Property              People              Parent's
 Gender       Age        Level     Damage                 Killed            Convictions
   M           15         1.1        20,000                 0                   1
   F           21         1.1         1,000                 0                   0
   M           21         1.1         1,500                 0                   0
   F           25         1.1         1,000                 0                   0         Blood Alcohol Content and People Killed
   M           22         1.1         1,000                 0                   0                 Observed Outcomes
   M           23         1.1        10,000                 0                   0                      # Killed       0         >0
   M           24         1.1         5,000                 1                   1         B. Alcohol
   F           17         1.1        15,000                 0                   0           <=1.2                    18         1
   F           21         1.1         1,000                 0                   0            >1.2                     4         7
   F           21         1.1         1,500                 0                   0
   F           22         1.1         2,000                 0                   0
   M           22         1.2         1,500                 0                   0
   F           22         1.2         2,000                 0                   0
   F           21         1.2         2,500                 0                   0
   F           21         1.2        15,000                 0                   0
   M           21         1.2         2,000                 0                   0
   M           15         1.2        22,000                 0                   1
   F           24         1.2        10,000                 0                   1
   M           20         1.2        10,000                 0                   1
   M           21         1.3         5,000                 0                   0
   M           21         1.3         5,000                 0                   0
   M           16         1.4        28,000                 1                   0
   M           21         1.4        25,000                 0                   0
   M           21         1.4        35,000                 1                   0
   M           21         1.4        30,000                 0                   1
   F           19         1.5        70,000                 2                   2
M   17   1.5    30,000   1   2
M   18   1.6    35,000   2   1
M   19   1.7    42,000   1   0
M   20   2.4   150,000   4   3
4) Sloppy Research, Inc. is interested in whether the average blood alcohol
content differs for people of different ages for people who were in accidents
where drivers were under 26 years old and there was alcohol and property
damage involved. Treatment ages of 15-17, 18-20, and 21-25 were chosen.
Test at the .05 level of significance whether these treatment come from
populations with equal average blood alcohol content.

    Automobile Accident Investigation by Sloppy Research, Inc.

                        Alcohol    Property    People      Parent's
 Gender       Age        Level     Damage       Killed    Convictions
   M           15         1.1        20,000       0           1                         Age of Person
   M           15         1.2        22,000       0           1                 15-17       18-20
   M           16         1.4        28,000       1           0                  1.1         1.6
   F           17         1.1        15,000       0           0                  1.2         1.7
   M           17         1.5        30,000       1           2                  1.4         1.5
   M           18         1.6        35,000       2           1                  1.1         2.4
   M           19         1.7        42,000       1           0                  1.5         1.2
   F           19         1.5        70,000       2           2
   M           20         2.4       150,000       4           3
   M           20         1.2        10,000       0           1
   F           21         1.1         1,000       0           0
   M           21         1.1         1,500       0           0
   M           21         1.3         5,000       0           0
   M           21         1.4        25,000       0           0
   M           21         1.4        35,000       1           0
   F           21         1.1         1,000       0           0
   F           21         1.2         2,500       0           0
   F           21         1.2        15,000       0           0
   M           21         1.2         2,000       0           0
   F           21         1.1         1,500       0           0
   M           21         1.4        30,000       0           1
   M           21         1.3         5,000       0           0
   M           22         1.2         1,500       0           0
   F           22         1.2         2,000       0           0
   M           22         1.1         1,000       0           0
   F           22         1.1         2,000       0           0
   M           23         1.1        10,000       0           0
   M           24         1.1         5,000       1           1
   F           24         1.2        10,000       0           1
   F           25         1.1         1,000       0           0
Age of Person
                21-25
                 1.1
                 1.1
                 1.3
                 1.4
                 1.4
                 1.1
                 1.2
                 1.2
                 1.2
                 1.1
                 1.4
                 1.3
                 1.2
                 1.2
                 1.1
                 1.1
                 1.1
                 1.1
                 1.2
                 1.1
5) The state legislature hired Sloppy Research, Inc. to studied the affects of alcohol
counseling on the number of traffic incidents happening to chronic alcohol abusers.
The number of traffic incidents occurring during the 5 years prior to the counseling
was compared to the number of incidents after the counseling. Test at the .01
of significance whether the number of incidents went down.


   Traffic Incidents and Counseling
             Before      After
                5          4
                7          2
                3          2
                5          5
                4          3
                2          1
                5          2
              Statistics Test on Correlation and Regression


6) Sloppy Research, Inc. is interested in the strength in the arithmetic
relationship between average blood alcohol content and property damage
for accidents where drivers were under 26 years old and there was
alcohol and property damage involved.

If there is a relationship, they are interested in the variability in property
damaged explained by blood alcohol content. They would also like to
predict the expected property damage for an accident in which the blood
alcohol content was 1.2.

    Automobile Accident Investigation by Sloppy Research, Inc.

                          Alcohol     Property     People      Parent's
 Gender        Age         Level      Damage        Killed    Convictions
   M            15          1.1         20,000        0           1
   F            21          1.1          1,000        0           0
   M            21          1.1          1,500        0           0
   F            25          1.1          1,000        0           0
   M            22          1.1          1,000        0           0
   M            23          1.1         10,000        0           0
   M            24          1.1          5,000        1           1
   F            17          1.1         15,000        0           0
   F            21          1.1          1,000        0           0
   F            21          1.1          1,500        0           0
   F            22          1.1          2,000        0           0
   M            22          1.2          1,500        0           0
   F            22          1.2          2,000        0           0
   F            21          1.2          2,500        0           0
   F            21          1.2         15,000        0           0
   M            21          1.2          2,000        0           0
   M            15          1.2         22,000        0           1
   F            24          1.2         10,000        0           1
   M            20          1.2         10,000        0           1
   M            21          1.3          5,000        0           0
   M            21          1.3          5,000        0           0
   M            16          1.4         28,000        1           0
   M            21          1.4         25,000        0           0
   M            21          1.4         35,000        1           0
   M            21          1.4         30,000        0           1
   F            19          1.5         70,000        2           2
   M            17          1.5         30,000        1           2
   M            18          1.6         35,000        2           1
   M            19          1.7         42,000        1           0
   M            20          2.4        150,000        4           3
5) Sloppy Research, Inc. is interested in determining how much more
of the variability in property damage can be explained by adding age
to the correlation study of the last question. Was the additional informational
worth the effort? Explain.

    Automobile Accident Investigation by Sloppy Research, Inc.

                         Alcohol    Property     People   Parent's
 Gender        Age        Level     Damage        Killed Convictions
   M            15         1.1        20,000        0        1
   F            21         1.1         1,000        0        0
   M            21         1.1         1,500        0        0
   F            25         1.1         1,000        0        0
   M            22         1.1         1,000        0        0
   M            23         1.1        10,000        0        0
   M            24         1.1         5,000        1        1
   F            17         1.1        15,000        0        0
   F            21         1.1         1,000        0        0
   F            21         1.1         1,500        0        0
   F            22         1.1         2,000        0        0
   M            22         1.2         1,500        0        0
   F            22         1.2         2,000        0        0
   F            21         1.2         2,500        0        0
   F            21         1.2        15,000        0        0
   M            21         1.2         2,000        0        0
   M            15         1.2        22,000        0        1
   F            24         1.2        10,000        0        1
   M            20         1.2        10,000        0        1
   M            21         1.3         5,000        0        0
   M            21         1.3         5,000        0        0
   M            16         1.4        28,000        1        0
   M            21         1.4        25,000        0        0
   M            21         1.4        35,000        1        0
   M            21         1.4        30,000        0        1
   F            19         1.5        70,000        2        2
   M            17         1.5        30,000        1        2
   M            18         1.6        35,000        2        1
   M            19         1.7        42,000        1        0
   M            20         2.4       150,000        4        3

				
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