A random sample of 25 observations is used to estimate the population variance. The sample mean and sample standard deviation are calculated as 52.5 and 3.8, respectively. Assume that the population...

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A random sample of 25 observations is used to estimate the population variance. The sample mean and sample standard deviation are calculated as 52.5 and 3.8, respectively. Assume that the population is normally distributed.

a. Construct a 90% interval estimate of the population variance.


b. Construct a 99% interval estimate of the population variance.


c. Use your answers to discuss the impact of the confidence level on the width of the interval.




Answered Same DayDec 25, 2021

Answer To: A random sample of 25 observations is used to estimate the population variance. The sample mean and...

Robert answered on Dec 25 2021
130 Votes
a) Given,
Number of observations (n) = 25
So,
Degrees of freedom = n - 1 = 25 – 1 = 24
For 24 degrees of freedom and 90% confidence interval, Critical chi – square values are:




Therefore,
90% confidence interval will be:
(
( )

...
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