Which critical value is appropriate for a 99% confidence level where nequals=17, sigmaσ is unknown, and...

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Question

Which critical value is appropriate for a 99% confidence level where nequals=17, sigmaσ is unknown, and...

Which critical value is appropriate for a 99% confidence level where

nequals=17,

sigmaσ

is unknown, and the population appears to be normally distributed?

A.

z Subscript alpha divided by 2zα/2equals=2.583

B.

t Subscript alpha divided by 2tα/2equals=2.898

C.

z Subscript alpha divided by 2zα/2equals=2.567

D.

t Subscript alpha divided by 2tα/2equals=2.921

math Statistics-And-Probability

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Answer 1

Answer #1

Solution :

Given that,

sample size = n = 17

Degrees of freedom = df = n - 1 = 17 - 1 = 16

At 99% confidence level the t is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

t_/2,df = t_0.005,16 = 2.921

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Answer 2

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