Question

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

73.5

64.1

45.3

53.9

58.7

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 should be obtained without any preliminary rounding.

Answer 1

let. Ze sample mean for S obserunt - 54.17 s-sample standard deviation 1 s= 10.61 Here, na sample size = 5 0-1 degrees of freedom -1 = 4. let, ca confidence level . = 0.99 = 1- 6 = .0l = leve t2, n 6 = to.005, 4 = 4.60 using t-table i aail. confidence interrad is - 3 h. ni a le utst. 20. 59.1 10. (4.60) alus 59.14 10.61 64.60) 15 754.00) 59.1 21.83 sus 59.1+21.83 37.3 Sus 80.9 qo'l. C'I. (37.3 80.9)