Question

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

29.1

58.6

87.6

45.5

22.1

57.8

46.7

47.8

47.8

24.3

63.1

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

The data is provided as:

	29.1
	58.6
	87.6
	45.5
	22.1
	57.8
	46.7
	47.8
	47.8
	24.3
	63.1
Count	11
Mean	48.2182
St. Dev	18.9783

The number of degrees of freedom are df=11−1=10, and the significance level is α=0.02.

Based on the provided information, the critical t-value for α=0.02 and df=10 degrees of freedom is tc​=2.764.

The 98% confidence for the population mean μ is computed using the following expression

Therefore, based on the information provided, the 98 % confidence for the population mean μ is

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