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To construct a confidence interval using the given confidence​ level, do whichever of the following is appropriate.​ (a) Find the critical value z Subscript alpha divided by zα/2​, ​(b) find the critical value t Subscript alpha divided by tα/2​, or​ (c) state that neither the normal nor the t distribution applies.?

95 ​% ; n=100​; σ = unknown​; population appears to be skewed

Choose the correct answer below.

A. tα/2 =2.626

B. zα/2 = 1.96

C. tα/2 =1.984

D. zα/2 = 2.575

E. Neither the normal nor the t distribution applies

To construct a confidence interval using the given confidence​ level, do whichever of the following is appropriate.​ (a) Find the critical value z Subscript alpha divided by zα/2​, ​(b) find the critical value t Subscript alpha divided by tα/2​, or​ (c) state that neither the normal nor the t distribution applies.?

98 ​% ; n= 19; σ = 21.4​; population appears to be normally distributed

A. zα/2 = 2.33

B. tα/2 = 2.214

C. zα/2 = 2.552

D. zα/2 = 2.055

E. Neither normal nor t distribution applies

Respuesta :

Answer:

1:  z = 1.96

2:  t = 2.552

Step-by-step explanation:

1:  When you don't know the population standard deviation and the sample size is large, you can still use a z test because many large samples are relatively normally distributed.  A 95% confidence interval uses a z-score of 1.96

2.  We are told that n < 30, so we use t distribution.  Use the degrees of freedom, which is one less than the population, and the column that has 0.02 in the area of 2 tails.

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