Question 1
A random sample of 15 crates have a mean weight of 165.2 pounds and a standard deviation of 14.9 pounds. Construct a 95% confidence interval for the population standard deviation σ. Assume the population is normally distributed, and round to the nearest hundredth when necessary.
◦ (2.83, 6.09)
◦ (119, 552.19)
◦ (10.91, 23.5)
◦ (11.46, 21.75)
Question 2
The volumes (in ounces) of juice in eight randomly selected juice bottles are as follows:
15.7 15.0 15.1 15.8
15.4 15.2 15.5 15.6
Find a 99% confidence interval for the standard deviation, σ, of the volumes of juice in all such bottles. Round to the nearest hundredth when necessary.
◦ (0.16, 0.66)
◦ (0.19, 0.88)
◦ (0.17, 0.66)
◦ (0.17, 0.77)