If you were constructing a 99% confidence interval of the population mean based

Question

If you were constructing a 99% confidence interval of the population mean based on a sample of n-25 where the standard deviation of the sample S-0.05, the critical value oft will be A. 2.7969 B. 2.7874 C. 2.4922 D. 2.4851 3. of the following is not true about the student's t distribution? Which A. It has more area in the tails and less in the center than does the normal distribution. B. It is bell shaped and symmetrical C. As the number of degrees of freedom increases, the t distribution approaches the 4. normal distribution. D. It is used to construct confidence intervals for the population mean when the population standard deviation is known.

Explanation / Answer

3. ans:- (a) 2.7969

n=25 where degree of freedom is 24.

99% confidence interval value= two tailed hypothesis test

So, using the t chart, if we see the line of degree of freedom=24 and column for 1% and two tailed, then we would find 2.7969 as the critical value.

4. ans:- Option (d) It is used to construct confidence intervals for the population mean when the population standard deviation is known.

is not true about student's t distribution as it is used to construct confidence intervals for the population mean when the population standard deviation is not known.

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