Question

Assume that a sample is used to estimate a population mean μμ. Find the 99.5% confidence interval for a sample of size 59 with a mean of 62.5 and a standard deviation of 12.2. Enter your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

99.5% C.I. =

Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Answer 1

Solution:

Solution : Given that 7 = 62.5 S= 12.2 n=59 df = 59-1=58 Q: 0.005 is & df = 58 for 0.005 Critical t value tc = 2.929 99.5% confidence intuval is lă-tes, łttes ) COP = CI vn 62.5 +2.929x12.2 62.5 -2.929x12.2 159 159 = (62.5 - 4.6521 , 62.5+ 4.6521) 3 (57.8479, 67.1521) - x