Solve # 12 We take a random sample of 25 scores from a Biology Exam and t e popu

Question

Solve # 12

We take a random sample of 25 scores from a Biology Exam and t e population scores are normally distributed). The kn Exam and the 12. it (LCL) at 95% mean is 75 (th deviation 12. What is the value of Lower Confidence Limit (LCLa a. 694 b. 70.3 c. 72.1 d. 84.0 13. Using the data in #12 above, what is the UCL for this situation at 90% CI? b. 79.3 c. 78.9 d. 82.4 14. Using the datai t is th wha have a score greater than 85? in #12 above (Assuming a mean of 75 is the population mean) e probability that a student chosen at random from the population will a. .4495 b. 3372 c. 2744 d. .2033

Explanation / Answer

12) here for 95% CI ; critical value of z =1.96

for std error of mean =std deviation/(n)1/2 =12/(25)1/2 =2.4

hence lower control limit =sample mean -z*std error =75-1.96*2.4=70.3

option B is correct.

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