SOLUTION: A sample of 16 students form a large university is taken. The average age in the sample was 22 years with a standard deviation of six years. Construct a 95% confidence interval f

Algebra ->  Probability-and-statistics -> SOLUTION: A sample of 16 students form a large university is taken. The average age in the sample was 22 years with a standard deviation of six years. Construct a 95% confidence interval f      Log On


   



Question 822164: A sample of 16 students form a large university is taken. The average age in the sample was 22 years with a standard deviation of six years. Construct a 95% confidence interval for the average age of the population. assume the population of student ages is normally distributed.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
The average age in the sample of 16 was 22 years with a standard deviation of six years.
ME = %28highlight_green%281.96%29%29%286%2Fsqrt%2816%29%29
95% confidence interval for the average age of the population.
22 - ME < mu < 22 + ME
Note:
80% z = 1.28155
90% z =1.645
92% z = 1.751
95% z = 1.96
98% z = 2.326
99% z = 2.576