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Assume that we want to construct a confidence interval. Do one of the​ following, as​ appropriate:
(a) find the critical value t Subscript alpha divided by 2​, ​
(b) find the critical value z Subscript alpha divided by 2​, or​
(c) state that neither the normal distribution nor the t distribution applies.

Respuesta :

Answer: Option 'a' is correct.

Step-by-step explanation:

To construct a confidence interval, we have four steps to do:

1) Recognise the sample statistic by calculating the sample mean and sample variance.

2) Recognise the confidence level i.e. 90%, 95% etc.

3) Calculate the margin of error :

As we know that Margin of error = Critical value × Standard deviation

Now, critical value in case  of t - test,

[tex]t_{\frac{\alpha}{2},v}[/tex]

4) find the confidence interval which is given below:

Confidence interval = Margin of error + Sample statistics

So, Option 'a' is correct.

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