Question

The high temperatures (in degrees Fahrenheit) of a random sample of 7 small towns are:

98.4

99.5

99.1

97.3

99.6

97.6

97.1

Assume high temperatures are normally distributed. Based on this data, find the 99% confidence interval of the mean high temperature of towns. 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 should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Answer 1

98.4	0.03	0.0009
99.5	1.13	1.2769
99.1	0.73	0.5329
97.3	-1.07	1.1449
99.6	1.23	1.5129
97.6	-0.77	0.5929
97.1	-1.27	1.6129

Refer t-table or use excel function "=T.INV.2T(0.01,6)" to find the critical value of t.

NOTE: Include parentheses (open brackets) in the answer