Question
In: Statistics and Probability
A college admissions office takes a simple random sample of 120 entering freshmen and computes their...
A college admissions office takes a simple random sample of 120 entering freshmen and computes their mean SAT score to be 448. The population standard deviation is 116. Bsed on a 98%confidence interval mean, is it likely that the mean SAT score for entering freshmen is greater than 464? (first construct the 98% confidence interval)
Solutions
Expert Solution
Solution
Given that,
= 448
= 116
n = 120
At 98% confidence level the z is ,
= 1 - 98% = 1 - 0.98 = 0.02
/ 2 = 0.02 / 2 = 0.01
Z/2
= Z 0.01 = 2.326
Margin of error = E = Z
/2*
(
= 2.326 * ( 116/
= 24.63
At 98% confidence interval estimate of the population mean is,
- E < 
<
+ E
448 - 24.63<
< 448 + 24.63
423.36 <
< 472.63
(423.36, 472.63)
orchestra answered 2 years agoRelated Solutions
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