Question
In: Statistics and Probability
A sample of 8 children in the 5th grade of North Stratfield School run the 100...
A sample of 8 children in the 5th grade of North Stratfield
School run the 100 meter dash in a average time of 20.2 seconds.
Assume the bias adjusted sample standard deviation of the
individual 100 meter dash times is 7.1 seconds.
Construct a 99% confidence interval for μ, the true population mean
100 meter dash time. Since n is small, the t statistic will be used
in deriving this confidence interval.
What is the degrees of freedom parameter that should be used to
derive the t-value?
Solutions
Expert Solution
Answer:-
Given that:-
A sample of 8 children in the 5th grade of North Stratfield
School run the 100 meter dash in a average time of 20.2 seconds.
Assume the bias adjusted sample standard deviation of the
individual 100 meter dash times is 7.1 seconds.
Construct a 99% confidence interval for μ, the true population mean
100 meter dash time. Since n is small, the t statistic will be used
in deriving this confidence interval.
What is the degrees of freedom parameter that should be
used to derive the t-value?
df=n-1=8-1=7 n=8 s=7.1 
99% confidence interval
(Critical value from T table)
Margin of error 
The degrees of freedom parameter that should be used to derive the t-value 8.783
orchestra answered 1 year agoRelated Solutions
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