The following random sample from a population whose values were normally distributed was collected.

The 95% confidence interval for $\mu$ is
A)8.52 to 10.98
B)7.75 to 12.25
C)9.75 to 10.75
D)8.00 to 10.00

Question

The following random sample from a population whose values were normally distributed was collected.

The 95% confidence interval for $\mu$ is
A)8.52 to 10.98 
B)7.75 to 12.25 
C)9.75 to 10.75 
D)8.00 to 10.00

Quizplus · Accepted Answer

Since the sample is from a normal distribution and the population standard deviation is unknown, we use a t-distribution with (n-1) degrees of freedom. The formula for a 95% confidence interval for the population mean is:

x̄ ± tα/2 * s/√n

Where x̄ is the sample mean, tα/2 is the t-critical value with (n-1) degrees of freedom and a confidence level of 95%, s is the sample standard deviation, and n is the sample size.

From the given information, we do not have the sample mean, sample standard deviation, or sample size. Therefore, we cannot calculate the confidence interval directly. Thus, we cannot choose the answer.

The Following Random Sample from a Population Whose Values Were μ\muμ

The Following Random Sample from a Population Whose Values Were $\mu$