Question

If an additional test were done on the claim of the average delay, but 45 flights were surveyed, which distribution would you use?

a) Normal distribution
b) Chi-square distribution
c) t-distribution
d) Binomial distribution

Answer 1

For a claim regarding the average delay of flights, with a sample size of 45 flights, the t-distribution should be used because the sample size does not meet the criteria for the normal distribution and the population standard deviation is unknown.

Step-by-step explanation:

If an additional test were done on the claim of the average delay in flights, and 45 flights were surveyed, the appropriate distribution to use would be the t-distribution. When we have a sample size less than 30 and the population standard deviation is unknown or when the sample size is between 30 and 50, we use the t-distribution. In this case, with a sample size of 45 flights, which is less than 50 and does not meet the large sample size criterion for the normal distribution, the t-distribution is the correct choice.

The t-distribution is appropriate here for estimating the population mean when the sample size is moderate and the population standard deviation is not known. It is especially used when dealing with small to moderate sample sizes, or when the population standard deviation is not given, as in the provided scenario.