Question

If

Upper X overbar equals 96 comma Upper S equals 5 comma and n equals 16X=96, S = 5, and n = 16​,

and assuming that the population is normally​ distributed, construct a​ 90% confidence interval estimate of the population​ mean,

muμ.

​(Type an integer or decimal with two decimal places to the right of the decimal point as​ needed.)

A.93.81

less than or equals Upper X overbar less than or equals≤ X≤

98.19 found using​ CONFIDENCE.T(0.1,5,16)

B.93.94

less than or equals Upper X overbar less than or equals≤ X≤

98.06 found using​ CONFIDENCE.NORM(0.1,5,16)

C.95.84

less than or equals Upper X overbar less than or equals≤ X≤

96.16 found using​ CONFIDENCE.T(0.9,5,16)

D.93.73

less than or equals Upper X overbar less than or equals≤ X≤

98.27 found using​ CONFIDENCE.T(0.1,5,15

Answer 1

Solution :

degrees of freedom = n - 1 = 16 - 1 = 15

t/2,df = t_0.05,15 = 1.753

Margin of error = E = t_/2,df * (s /n)

= 1.753 * ( 5 / 16)

Margin of error = E = 2.19

The 90% confidence interval estimate of the population mean is,

- E + E

96 - 2.19 96 + 2.19

( 93.81   98.19 )

correct option is = A