Question

7. A travel website wants to gauge the perceived quality of a major airport. The maximum possible rating is 10, and the results of a random sample of 50 travelers can be found in the Airport.xlsx file. Develop a 95% confidence interval estimate of the population mean rating for the airport based upon this data.

Answer 1

The 95% confidence interval has Minimum = 6.053 and Maximum = 7.467

Explanation:

Here we have

Data as

1 5 6 7 8 8 8 9 9 9 9 10 3 4 5 5 7 6 8 9 10 5 4 6 5 7 3 1 9 8 8 9 9 10 7 6 4 8 10 2 5 1 8 6 9 6 8 8 10 10

The sum is 338

∴ Mean,
`\bar x` = 6.76, Standard Deviation, s = 2.55

Sample size, n = 50

For a 95% confidence interval, we have

`CI=\bar{x}\pm z(s)/(√(n))`

Where z is;

z at 95% z =
`\pm`1.96

Therefore, we have

95% confidence interval as Minimum = 6.053 to Maximum = 7.467.