Answer:
a) s=64.65
b) 
c) 
d) 
Step-by-step explanation:
a) To calculate the sample standard deviation, first we have to calculate the sample mean.

Now, the standard deviation is:

![\sqrt{\frac{1}{5-1}*[(1320-1366)^2+(1400-1366)^2+(1300-1366)^2+(1460-1366)^2+(1350-1366)^2]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B1%7D%7B5-1%7D%2A%5B%281320-1366%29%5E2%2B%281400-1366%29%5E2%2B%281300-1366%29%5E2%2B%281460-1366%29%5E2%2B%281350-1366%29%5E2%5D%7D)
![s=\sqrt{\frac{1}{4} [(-46)^2+(34)^2+(-66)^2+(94)^2+(-16)^2]}\\\\\\s=\sqrt{\frac{1}{4}[2116+1156+4356+8836+256]}\\\\s=\sqrt{\frac{1}{4}*16720}\\\\s=\sqrt{4180}\\\\s=64.65](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B4%7D%20%5B%28-46%29%5E2%2B%2834%29%5E2%2B%28-66%29%5E2%2B%2894%29%5E2%2B%28-16%29%5E2%5D%7D%5C%5C%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B4%7D%5B2116%2B1156%2B4356%2B8836%2B256%5D%7D%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B4%7D%2A16720%7D%5C%5C%5C%5Cs%3D%5Csqrt%7B4180%7D%5C%5C%5C%5Cs%3D64.65)
b) The z-value for a 95% confidence interval is z=1.96.
The margin of error is

The lower and upper limit of the CI are:

The confidence interval is:

c) In this case, the z-value for a 82% CI is z=1.34.
The margin of error is

The lower and upper limit of the CI are:

The confidence interval is:

c) Now we have to construct a one sided 95% confidence interval, with only one bound (lower bound).
The z-value is z=1.645
The margin of error is

The lower limit of the CI is:

The confidence interval is:
