Use the following information for questions:
A bank official wants to assess if the average delays for two airlines are different.Let $µ_1$ = average delay for Airline 1 and $µ_2$ = average delay for Airline 2. A random sample of 10 flights for Airline 1 shows an average of 6 minutes delay with a standard deviation of 5 minutes. A random sample of 10 flights for Airline 2 shows an average of 12 minutes delay with a standard deviation of 5 minutes. Assume delay times are normally distributed, but do not assume the population variances are equal. Use the conservative "by hand" estimate for the degrees of freedom.
-Which of the following is an appropriate conclusion?
A) The average delay for Airline 1 does appear to be different than the average delay for Airline 2.
B) The results are not statistically significant so there is not enough evidence to conclude that the average delays are different.
C) The average delay for Airline 1 is at least 3 minutes less than for Airline 2.
D) None of the above.

Question

Use the following information for questions:
 A bank official wants to assess if the average delays for two airlines are different.Let $µ_1$ = average delay for Airline 1 and $µ_2$ = average delay for Airline 2. A random sample of 10 flights for Airline 1 shows an average of 6 minutes delay with a standard deviation of 5 minutes. A random sample of 10 flights for Airline 2 shows an average of 12 minutes delay with a standard deviation of 5 minutes. Assume delay times are normally distributed, but do not assume the population variances are equal. Use the conservative "by hand" estimate for the degrees of freedom.
-Which of the following is an appropriate conclusion?
A) The average delay for Airline 1 does appear to be different than the average delay for Airline 2.
B) The results are not statistically significant so there is not enough evidence to conclude that the average delays are different.
C) The average delay for Airline 1 is at least 3 minutes less than for Airline 2.
D) None of the above.

Quizplus · Accepted Answer

Given the differences in sample means and the assumption of normally distributed delay times without assuming equal population variances, a two-sample t-test is appropriate for comparing the means. The significant difference in sample means (6 minutes for Airline 1 and 12 minutes for Airline 2) suggests that the average delays between the two airlines are likely different, justifying choice A as the correct conclusion.

Use the Following Information for Questions: a Bank Official µ1µ_1µ1​

Use the Following Information for Questions:
a Bank Official $µ_1$