Question
In: Statistics and Probability
A cell phone company offers two plans to its subscribers. At the time new subscribers sign...
A cell phone company offers two plans to its subscribers. At the time new subscribers sign up, they are asked to provide some demographic information. The mean yearly income for a sample of 40 subscribers to Plan A is $47,200 with a standard deviation of $9,200. For a sample of 30 subscribers to Plan B, the mean income is $51,500 with a standard deviation of $7,100. At the .01 significance level, is it reasonable to conclude the mean income of those selecting Plan B is larger? Hint: For the calculations, assume the Plan A as the first sample.
The test statistic is _____. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
Solutions
Expert Solution
test statistic is −2.13
Plan A first sample.
Plan B Second sample.
( 2 )Rejection
Region
(5) Conclusion
It is concluded that the null hypothesis Ho is not rejected. Therefore it not reasonable to conclude the mean income of those selecting Plan B is larger at the 0.01 significance level.
orchestra answered 2 years agoRelated Solutions
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time new subscribers sign up, they are asked to provide some
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A cell phone company offers two plans to its subscribers. At the time new subscribers sign...
A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 42
subscribers to Plan A is $55,500 with a standard deviation of
$8,500. This distribution is positively skewed; the coefficient of
skewness is not larger. For a sample of 40 subscribers to Plan B,
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A cell phone company offers two plans to its subscribers. At the
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time new subscribers sign up, they are asked to provide some
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A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 40
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A. A cell phone company offers two plans to its subscribers. At the time new subscribers...
A.
A cell phone company offers two plans to its subscribers. At the
time new subscribers sign up, they are asked to provide some
demographic information. The mean yearly income for a sample of 45
subscribers to Plan A is $45,200 with a standard deviation of
$7,900. For a sample of 35 subscribers to Plan B, the mean income
is $57,500 with a standard deviation of $6,400.
At the 0.1 significance level, is it reasonable to conclude the
mean income...
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