Question

In: Statistics and Probability

Do one of the​ following, as appropriate.​ (a) Find the critical value z Subscript alpha divided...

Do one of the​ following, as appropriate.​ (a) Find the critical value z Subscript alpha divided by 2​, ​(b) find the critical value t Subscript alpha divided by 2​, ​(c) state that neither the normal nor the t distribution applies. Confidence level 98​%; n=23​ SD= 26.2​; population appears to be normally distributed.

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Expert Solution

SOLUTION:

From given data,

Do one of the​ following, as appropriate.​ (a) Find the critical value z Subscript alpha divided by 2​, ​(b) find the critical value t Subscript alpha divided by 2​, ​(c) state that neither the normal nor the t distribution applies. Confidence level 98​%; n=23​ SD= 26.2​; population appears to be normally distributed.

where,

= 23

SD = = 26.2

Confidence level = 98​%

Where, is known so we are using Z

At 98% confidence interval

Confidence interval is 98%

98% = 98/100 = 0.98

= 1 - Confidence interval = 1-0.98 = 0.02

/2 = 0.02 / 2

= 0.01

Z/2 = Z0.01 = 2.326


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