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. You have an SRS of 23 observations from a large population. The distribution of sample values is roughly symmetric with no outliers. What critical value would you use to obtain a 98% confidence interval for the mean of the population? (a) 2.177 (b) 2.183 (c) 2.326 (d) 2.500 (e) 2.508

Respuesta :

princessesther2011

Answer:

(e) 2.508

Step-by-step explanation:

n = 23

degree of freedom = n - 1 = 23 - 1 = 22

confidence level = 98%

Using the t-distribution table, critical value for 22 degrees of freedom and 98% confidence level is 2.508

The critical value would you use to obtain a 98% confidence interval for the mean of the population is 2.508 and this can be determined by using the t-distribution table.

GIven :

  • You have an SRS of 23 observations from a large population.
  • The distribution of sample values is roughly symmetric with no outliers.
  • 98% confidence interval.

The following steps can be used in order to determine the critical value:

Step 1 - First, determine the degree of freedom using the formula given below:

Degree of freedom = n - 1

where n is the sampkle size.

Step 2 - Substitute the value of 'n' in the above formula.

Degree of freedom = 23 - 1

                                = 22

Step 3 - Now, the t-distribution table can be used to determine the critical value to obtain a 98% confidence interval.

Critical value = 2.508

Therefore, the correct option is e).

For more information, refer to the link given below:

https://brainly.com/question/12444632

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