The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What
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Answer:
B. z Subscript alpha divided by 2 zα/2 = 1.96.
Step-by-step explanation:
We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn girls:
n = 236, = 30.3 hg, s = 7.2 hg. The confidence level is 95%.
As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.
It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.
Here, = level of significance = 1 - 0.95 = 0.05 or 5%
= 0.025 or 2.5%
So, the value of in the z table is given as 1.96 with a 2.5% level of significance.
The volume of the rectangular prism is
Where:
B is the base area
H is the height
Since the base area is 160 feet^2
Since the volume is 1360 feet^3
Substitute them in the rule above
Divide both sides by 160 to find H
The height of the container is 8.5 feet