Question
In: Statistics and Probability
A simple random sample from a population with a normal distribution of 98 body temperatures has...
A simple random sample from a population with a normal distribution of 98 body temperatures has a mean of 98.50degrees F and a standard deviation of 0.67degrees F. Construct a 99?% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Is it safe to conclude that the population standard deviation is less than 2.30degrees F?? LOADING... Click the icon to view the table of? Chi-Square critical values.
Solutions
Expert Solution
At 99% confidence interval the critical values are 
= 136.62
= 64.88
The 99% confidence interval for 
is
sqrt((n - 1)s^2/)
<
< sqrt((n - 1)s^2/)
= sqrt(97 * (0.68)^2/136.62) <
< sqrt(97 * (0.68)^2/64.88)
= 0.573 <
< 0.831
Yes it can be conclude that the population standard deviation is less than 2.30 degrees F.
orchestra answered 2 years agoRelated Solutions
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