Question

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

22

69.4

69.4

21.2

-11.4

35.3

36.8

54.6

15.7

25.2

Find the 98% 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).

98% C.I. =

Answer should be obtained without any preliminary rounding.

Answer 1

Sample size (n) = 10
Standard deviation (s) = 25.2129
Confidence interval(in %) = 98

Required confidence interval = (33.82-22.4951, 33.82+22.4951)
Required confidence interval = (11.32, 56.32)

Interpretion: We are 98.0% confident that the true mean of the population lie between the interval 11.32 and 56.32

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