Question

Range Minimum:	13.1
Range Maximum:	85.5
Median:	27.3
Mode:	#N/A
x̅	38.1
n	21
s2	499.5783
s	22.35125
Calculate the standard error of the mean.
sx̅
If we assume our data is a random sample, we are 95% confident that the population mean falls between ___ and ____. Fill in the blanks.
					If we assume our data is a random sample, we are 99% confident that the population mean falls between ___ and ____. Fill in the blanks.

Answer 1

std.error of the mean = 22.35125/sqrt(21))
= 4.8774

t value at 95% = 2.086

CI = xbar +/- t *SE
= 38.1 +/- 2.086 * 4.8774
= (27.9257 , 48.2743)

If we assume our data is a random sample, we are 95% confident that the population mean falls between 27.9257 and 48.2743

t value at 99% = 2.845

CI = xbar +/- t *SE
= 38.1 +/- 2.845 * 4.8774
= (24.2238 , 51.9762)

If we assume our data is a random sample, we are 99% confident that the population mean falls between 24.2238 and 51.9762