TYPED answer only please An airport official wants to assess if the flights from
ID: 3248702 • Letter: T
Question
TYPED answer only please
An airport official wants to assess if the flights from one airline (Airline 1) are less delayed than flights from another airline (Airline 2). Let mu_1 = average delay for Airline 1 and mu_2 = average delay for Airline 2. A random sample of 10 flights for Airline 1 shows an average of 9.5 minutes delay with a standard deviation of 3 minutes. A random sample of 10 flights for Airline 2 shows an average of 12.63 minutes delay with a standard deviation of 3 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, p - value = 0.022 a. What are the appropriate null and alternative hypotheses? b. What is the value of the test statistic? c. For a significance level of a = 0.05, are the results statistically significant? d. Which of the following is an appropriate conclusion?Explanation / Answer
a)
Hypothesis:
Null hypothesis: 1 - 2 >= 0
Alternative hypothesis: 1 - 2 < 0
b)
Test statistic:
x1 = 9.5 , x2 = 12.63 . s1 = 3 , s2 = 3 , n1=n2 = 10
SE = sqrt[(s1^2/n1) + (s2^2/n2)]
SE = sqrt[(3^2/10) + (3^2/10)]
= 1.3416
t = [ (x1 - x2) - d ] / SE
= [(9.5 - 12.63) - 0] / 1.3416
= -2.332
c) p value is calculated using t = -2.332 , df =8
p value= .015757.
Results are statistically significant.
d)
we reject the null hypothesis.
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