Question
2. The SAT scores of 12 randomly selected high school seniors are given as: 1700 1940...
2. The SAT scores of 12 randomly selected high school seniors are given as: 1700 1940 1510 2000 1430 1870
1990 1650 1820 1670 2210 1380
Assume the population distribution is normal.
1. Find the sample mean [use technology]
2.Find the sample standard deviation [use technology]
3.Construct a 99% confidence interval for the population mean μ.
d. Construct a 95% confidence interval for the population mean μ. Interpret the results.
e. How does decreasing the level of confidence in part (d) change the width of
the confidence interval?
Homework Answers
Answer #1
1. Using Technology we have sample mean 
2. Using Technology we have sample standard
deviation 
3. The 
confidence interval is given by
For 99% confidence interval 
So the interval is
4) For 95% confidence interval 
So the interval is
By decreasing the level of confidence the width of the interval decreases.
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