The present study shows data for direct flights from Orlando to Miami for one airline. The airline claims that the flying time (time in the air) of direct flights from Orlando to Miami takes 45 minutes. The company would like to test the claim and collects a random sample of 90 flights. Assume that the distribution of the flight times is normal and the sample is randomly selected. Flight Duration (Time in the air) in minutes 45.0 42.0 41.0 38.0 41.0 44.0 51.0 47.0 43.0 40.0 46.0 45.0 43.0 44.0 43.0 39.0 44.0 48.0 48.0 51.0 50.0 43.0 41.0 51.0 40.0 45.0 49.0 55.0 41.0 41.0 40.0 41.0 45.0 50.0 47.0 50.0 42.0 46.0 48.0 44.0 42.0 47.0 46.0 48.0 48.0 51.0 48.0 59.0 46.0 47.0 52.0 49.0 50.0 50.0 52.0 49.0 42.0 42.0 43.0 45.0 39.0 49.0 48.0 49.0 43.0 41.0 45.0 43.0 43.0 50.0 42.0 46.0 41.0 47.0 43.0 51.0 48.0 47.0 43.0 50.0 44.0 42.0 56.0 49.0 46.0 44.0 48.0 51.0 51.0 49.0 1. If value of test statistic is = 2.197 and if critical value from the probability table to test the claim at alpha = 0.01 is 2.632 do you reject the null hypothesis? Why? Justify your answer? 2. based on your answer in question 1, what type of error might have been made? Choose your answer from the dropdown menu a. Type I: Rejecting the null hypothesis that might be true b. Type I: Not rejecting the null hypothesis that might be true c. Type II: Rejecting the null hypothesis that might be false d. Type II: Not rejecting the null hypothesis that might be false

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The present study shows data for direct flights from Orlando to Miami for one airline. The airline claims that the flying time (time in the air) of direct flights from Orlando to Miami takes 45 minutes. The company would like to test the claim and collects a random sample of 90 flights. Assume that the distribution of the flight times is normal and the sample is randomly selected.

Flight Duration (Time in the air) in minutes
45.0
42.0
41.0
38.0
41.0
44.0
51.0
47.0
43.0
40.0
46.0
45.0
43.0
44.0
43.0
39.0
44.0
48.0
48.0
51.0
50.0
43.0
41.0
51.0
40.0
45.0
49.0
55.0
41.0
41.0
40.0
41.0
45.0
50.0
47.0
50.0
42.0
46.0
48.0
44.0
42.0
47.0
46.0
48.0
48.0
51.0
48.0
59.0
46.0
47.0
52.0
49.0
50.0
50.0
52.0
49.0
42.0
42.0
43.0
45.0
39.0
49.0
48.0
49.0
43.0
41.0
45.0
43.0
43.0
50.0
42.0
46.0
41.0
47.0
43.0
51.0
48.0
47.0
43.0
50.0
44.0
42.0
56.0
49.0
46.0
44.0
48.0
51.0
51.0
49.0

1. If value of test statistic is = 2.197 and if critical value from the probability table to test the claim at alpha = 0.01 is 2.632 do you reject the null hypothesis? Why? Justify your answer?

2. based on your answer in question 1, what type of error might have been made? Choose your answer from the dropdown menu

a. Type I: Rejecting the null hypothesis that might be true

b. Type I: Not rejecting the null hypothesis that might be true

c. Type II: Rejecting the null hypothesis that might be false

d. Type II: Not rejecting the null hypothesis that might be false

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