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hdwoody2002
14.02.2020 •
Mathematics
A simple random sample of 144 items resulted in a sample mean of 1250.25 and a standard deviation of 480. Which of the following options gives the correct formula for a 99% confidence interval for the population mean
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Ответ:
Correct formula for a 99% confidence interval for the population mean =
Step-by-step explanation:
We are provided a simple random sample of 144 items of which sample mean, xbar = 1250.25 and Standard Deviation, s = 480.
We know that
follows
i.e.;
So, 99% confidence interval is given by ;
P(-2.61138 <
< 2.61138) = 0.99 {because at 143 degree of freedom t table
gives critical value of 2.61138 at 0.5% level}
Now, after further solving this we get,
99% confidence interval for the population mean =
Since, in the question options are not given so this must be the correct formula for calculating 99% confidence interval for the population mean.
Ответ: