In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric.

Percents of on-time arrivals for flights in 2006 and 2007 were collected for 11 randomly selected airports. Suppose data for these airports follow.

Airport Percent On-Time

2006-    2007

1 71.78 68.69

2 68.23 65.88

3 76.98 78.40

4 78.71 75.78

5 78.59 72.45

6 78.67 79.68

7 75.67 77.38

8 75.29 69.98

9 68.39 62.84

10 80.91 77.49

11 76.55 71.42

Use ? = 0.05 to test the hypothesis that there is no difference between the median percent of on-time arrivals for the two years.

State the null and alternative hypotheses.

H₀: Median percent on-time in 2006 − Median percent on-time in 2007 ≥ 0
H_a: Median percent on-time in 2006 − Median percent on-time in 2007 < 0H₀: Median percent on-time in 2006 − Median percent on-time in 2007 ≤ 0
H_a: Median percent on-time in 2006 − Median percent on-time in 2007 > 0    H₀: Median percent on-time in 2006 − Median percent on-time in 2007 > 0
H_a: Median percent on-time in 2006 − Median percent on-time in 2007 = 0H₀: Median percent on-time in 2006 − Median percent on-time in 2007 ≠ 0
H_a: Median percent on-time in 2006 − Median percent on-time in 2007 = 0H₀: Median percent on-time in 2006 − Median percent on-time in 2007 = 0
H_a: Median percent on-time in 2006 − Median percent on-time in 2007 ≠ 0

Find the value of the test statistic.

T⁺ =

Find the p-value. (Round your answer to four decimal places.)

p-value =

What is your conclusion?

Do not reject H₀. There is sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.Do not reject H₀. There is not sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.    Reject H₀. There is sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.Reject H₀. There is not sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.

Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric. Percents of on-time arrivals for flights in 2006 and 2007 were collected for 11 randomly selected airports. Suppose data for these airports follow. Percent On-Time Airport 2006 2007 1 71.78 68.69 68.23 65.88 3 76.98 78.40 4 78.71 75.78 5 78.59 72.45 6 78.67 79.68 7 75.67 77.38 75.29 69.98 68.39 62.84 10 80.91 77.49 11 76.55 71.42 Use a = 0.05 to test the hypothesis that there is no difference between the median percent of on-time arrivals for the two years. State the null and alternative hypotheses. O H,: Median percent on-time in 2006 - Median percent on-time in 2007 20 H: Median percent on-time in 2006 - Median percent on-time in 2007 < 0 O H: Median percent on-time in 2006 - Median percent on-time in 2007 s0 H: Median percent on-time in 2006 - Median percent on-time in 2007 > 0 O H: Median percent on-time in 2006 - Median percent on-time in 2007 > 0 H: Median percent on-time in 2006 - Median percent on-time in 2007 = 0 O H: Median percent on-time in 2006 - Median percent on-time in 2007 = 0 H: Median percent on-time in 2006 - Median percent on-time in 2007 = 0 O H: Median percent on-time in 2006 - Median percent on-time in 2007 = 0 H: Median percent on-time in 2006 - Median percent on-time in 2007 0 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? O Do not reject H. There is sufficient evidence to conclude that there is a significant difference betvween the median percent of on-time arrivals for the two years. O Do not reject H. There is not sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years. O Reject H. There is sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years. O Reject H. There is not sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.

Question

In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric.

Percents of on-time arrivals for flights in 2006 and 2007 were collected for 11 randomly selected airports. Suppose data for these airports follow.

Airport	Percent On-Time
	2006-	2007
1	71.78	68.69
2	68.23	65.88
3	76.98	78.40
4	78.71	75.78
5	78.59	72.45
6	78.67	79.68
7	75.67	77.38
8	75.29	69.98
9	68.39	62.84
10	80.91	77.49
11	76.55	71.42

Use ? = 0.05 to test the hypothesis that there is no difference between the median percent of on-time arrivals for the two years.

State the null and alternative hypotheses.

H₀: Median percent on-time in 2006 − Median percent on-time in 2007 ≥ 0
H_a: Median percent on-time in 2006 − Median percent on-time in 2007 < 0H₀: Median percent on-time in 2006 − Median percent on-time in 2007 ≤ 0
H_a: Median percent on-time in 2006 − Median percent on-time in 2007 > 0 H₀: Median percent on-time in 2006 − Median percent on-time in 2007 > 0
H_a: Median percent on-time in 2006 − Median percent on-time in 2007 = 0H₀: Median percent on-time in 2006 − Median percent on-time in 2007 ≠ 0
H_a: Median percent on-time in 2006 − Median percent on-time in 2007 = 0H₀: Median percent on-time in 2006 − Median percent on-time in 2007 = 0
H_a: Median percent on-time in 2006 − Median percent on-time in 2007 ≠ 0

Find the value of the test statistic.

T⁺ =

Find the p-value. (Round your answer to four decimal places.)

p-value =

What is your conclusion?

Do not reject H₀. There is sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.Do not reject H₀. There is not sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years. Reject H₀. There is sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.Reject H₀. There is not sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.

You may need to use the appropriate appendix table or technology to answer this question.
In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric.
Percents of on-time arrivals for flights in 2006 and 2007 were collected for 11 randomly selected airports. Suppose data for these airports follow.
Percent On-Time
Airport
2006
2007
1
71.78
68.69
68.23
65.88
3
76.98
78.40
4
78.71
75.78
5
78.59
72.45
6
78.67
79.68
7
75.67
77.38
75.29
69.98
68.39
62.84
10
80.91
77.49
11
76.55
71.42
Use a = 0.05 to test the hypothesis that there is no difference between the median percent of on-time arrivals for the two years.
State the null and alternative hypotheses.
O H,: Median percent on-time in 2006 - Median percent on-time in 2007 20
H: Median percent on-time in 2006 - Median percent on-time in 2007 < 0
O H: Median percent on-time in 2006 - Median percent on-time in 2007 s0
H: Median percent on-time in 2006 - Median percent on-time in 2007 > 0
O H: Median percent on-time in 2006 - Median percent on-time in 2007 > 0
H: Median percent on-time in 2006 - Median percent on-time in 2007 = 0
O H: Median percent on-time in 2006 - Median percent on-time in 2007 = 0
H: Median percent on-time in 2006 - Median percent on-time in 2007 = 0
O H: Median percent on-time in 2006 - Median percent on-time in 2007 = 0
H: Median percent on-time in 2006 - Median percent on-time in 2007 0
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
What is your conclusion?
O Do not reject H. There is sufficient evidence to conclude that there is a significant difference betvween the median percent of on-time arrivals for the two years.
O Do not reject H. There is not sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.
O Reject H. There is sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.
O Reject H. There is not sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.

Accepted Answer

Solution:
Null and Alternative Hypotheses:
The following null and alternative hypotheses need to be…