In: Statistics and Probability
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.
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