Question

You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures:

55

41.4

45.5

38.3

45.3

42.7

34.6

50

25.5

48.7

Find the 99% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).

99% C.I. =

Answer 1

From the given sample data : n=10 , ,

The sample mean is ,

The sample standard deviation is ,

Now , ; From t-table

The 99% confidence interval is ,

Therefore , the 99% C.I. = (34.3,51.1)