Assignment:
Effects of an Outlier Refer and create an outlier by changing the first value listed for kings and queens from 17 years to 1700 years. After making that change, describe the effects of the outlier on the hypothesis test and confidence interval. Does the outlier have a dramatic effect on the results?
Exercise
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal, unless your instructor stipulates otherwise.
Longevity Listed below are the numbers of years that popes and British monarchs (since 1690) lived after their election or coronation (based on data from Computer-Interactive Data Analysis, by Lunn and McNeil, John Wiley & Sons). Treat the values as simple random samples from a larger population.
a. Use a 0.01 significance level to test the claim that the mean longevity for popes is less than the mean for British monarchs after coronation.
b. Construct a 98% confidence interval of the difference between the mean longevity for popes and the mean longevity for British monarchs. What does the result suggest about those two means?
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Popes:
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2
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9
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21
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3
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6
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10
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18
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11
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6
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25
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23
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6
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2
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15
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32
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25
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11
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8
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17
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19
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5
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15
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0
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26
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|
|
|
|
|
|
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Kings and Queens:
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17
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6
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13
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12
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13
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33
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59
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10
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7
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63
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9
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25
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36
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15
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