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1. Find 
for each of the following confidence levels
a) 88%; b) 94%; c) 96%; d) 99%
2. The standard deviation for a population is 
. A sample of
36 observations selected from this population gave a mean equal to 74.8.
a) Make a 90 % confidence interval for 
.
b) Construct a 95 % confidence interval for .
c) Determine a 99 % confidence interval for .
3. The standard deviation for a population is 
. A sample of 121 observations selected from this population gave a mean equal to 84.5.
a) Make a 99 % confidence interval for
b) Construct a 95 % confidence interval for
c) Determine a 90 % confidence interval for
4. The standard deviation for a population is 
. A random sample selected from this population gave a mean equal to 78.90.
a) Make a 99 % confidence interval for assuming n =36
b) Make a 99 % confidence interval for assuming n =81
c) Make a 99 % confidence interval for assuming n =100
Explain your results.
5. Given that a sample of size 16 from a normal distribution yielded 
.
The population variance is known to be 64. Find
a) 90 % confidence interval for
b) 95 % confidence interval for
c) 99 % confidence interval for .
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