Assume that the sample is a simple random sample obtained from a normally distri

Question

Assume that the sample is a simple random sample obtained from a normally distributed population of flight delays at an airport. Use the table below to find the minimum sample size needed to be 9595% confident that the sample standard deviation is within 10% of the population standard deviation. A histogram of a sample of those arrival delays suggests that the distribution is skewed, not normal. How does the distribution affect the sample size?

To be 95% confident that s is within 1% 5% 10% 20% 30% 40% 50%

of the value of sigma, the sample size n should be at least 19,205 768 192 48 21 12 8

To be 99% confident that s is within 1% 5% 10% 20% 30% 40% 50%

of the value of , the sample size n should be at least 33,218 1,336 336 85 38 22 14

The minimum sample size needed is

Explanation / Answer

Solution.

From the given table,

We can see that the value corresponding to 95% and 10% is 192. Hence,

The minimum sample size needed is 192 Ans.

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