Question
The following data are paired by date. Let x and y be random variables representing wind...
The following data are paired by date. Let x and y be random variables representing wind direction at 5 a.m. and 5 p.m., respectively (units are degrees on a compass, with 0° representing true north). The readings were taken at seeding level in a cloud seeding experiment. A random sample of days gave the following information. x 178 140 197 224 54 175 257 72 172 y 148 142 217 125 49 245 218 35 147 x 207 265 110 193 180 190 94 8 91 y 213 218 100 170 245 117 140 99 62 Use the sign test with a 5% level of significance to test the claim that the distributions of wind directions at 5 a.m. and 5 p.m. are different. Interpret the results. What is the level of significance? State the null and alternate hypotheses. H0: Distributions are the same. H1: Distributions are different. H0: Distributions are different. H1: Distributions are different. H0: Distributions are the same. H1: Distributions are the same. H0: Distributions are different. H1: Distributions are the same. Compute the sample test statistic. (Round your answer to two decimal places.) What sampling distribution will you use? Student's t normal chi-square uniform Find the P-value of the sample test statistic. (Round your answer to four decimal places.)
Homework Answers
Answer #1
H0: Distributions are the same
H1: Distributions are the different
Form the given data
| S.No. | X | Y | Diff = X-Y |
| 1 | 178 | 148 | 30 |
| 2 | 140 | 142 | -2 |
| 3 | 197 | 217 | -20 |
| 4 | 224 | 125 | 99 |
| 5 | 54 | 49 | 5 |
| 6 | 175 | 245 | -70 |
| 7 | 257 | 218 | 39 |
| 8 | 72 | 35 | 37 |
| 9 | 172 | 147 | 25 |
| 10 | 207 | 213 | -6 |
| 11 | 265 | 218 | 47 |
| 12 | 110 | 100 | 10 |
| 13 | 193 | 170 | 23 |
| 14 | 180 | 245 | -65 |
| 15 | 190 | 117 | 73 |
| 16 | 94 | 140 | -46 |
| 17 | 8 | 99 | -91 |
| 18 | 91 | 62 | 29 |
| S+ = | number of +ve signs |
| = | 11 |
| S- = | 7 |
Thus we conclude that Distributions are different
Not the answer you're looking for?
Similar Questions
The type of household for the U.S. population and for a random sample of 411 households...
The type of household for the U.S. population and for a random
sample of 411 households from a community in Montana are shown
below. Type of Household Percent of U.S. Households Observed Number
of Households in the Community Married with children 26% 93
Married, no children 29% 112 Single parent 9% 34 One person 25% 103
Other (e.g., roommates, siblings) 11% 69 Use a 5% level of
significance to test the claim that the distribution of U.S.
households fits the...
Benford's Law states that the first nonzero digits of numbers drawn at random from a large...
Benford's Law states that the first nonzero digits of numbers
drawn at random from a large complex data file have the following
probability distribution.† First Nonzero Digit 1 2 3 4 5 6 7 8 9
Probability 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046
Suppose that n = 275 numerical entries were drawn at random from a
large accounting file of a major corporation. The first nonzero
digits were recorded for the sample. First Nonzero Digit 1 2...
The type of household for the U.S. population and for a random sample of 411 households...
The type of household for the U.S. population and for a random
sample of 411 households from a community in Montana are shown
below.
Type of Household
Percent of U.S.
Households
Observed Number
of Households in
the Community
Married with children
26%
96
Married, no children
29%
113
Single parent
9%
32
One person
25%
97
Other (e.g., roommates, siblings)
11%
73
Use a 5% level of significance to test the claim that the
distribution of U.S. households fits the...
The type of household for the U.S. population and for a random sample of 411 households...
The type of household for the U.S. population and for a random
sample of 411 households from a community in Montana are shown
below.
Type of Household
Percent of U.S.
Households
Observed Number
of Households in
the Community
Married with children
26%
104
Married, no children
29%
112
Single parent
9%
32
One person
25%
97
Other (e.g., roommates, siblings)
11%
66
Use a 5% level of significance to test the claim that the
distribution of U.S. households fits the...
The type of household for the U.S. population and for a random sample of 411 households...
The type of household for the U.S. population and for a random
sample of 411 households from a community in Montana are shown
below.
Type of Household
Percent of U.S.
Households
Observed Number
of Households in
the Community
Married with children
26%
93
Married, no children
29%
127
Single parent
9%
35
One person
25%
88
Other (e.g., roommates, siblings)
11%
68
Use a 5% level of significance to test the claim that the
distribution of U.S. households fits the...
The type of household for the U.S. population and for a random sample of 411 households...
The type of household for the U.S. population and for a random
sample of 411 households from a community in Montana are shown
below.
Type of Household
Percent of U.S.
Households
Observed Number
of Households in
the Community
Married with children
26%
98
Married, no children
29%
118
Single parent
9%
38
One person
25%
91
Other (e.g., roommates, siblings)
11%
66
Use a 5% level of significance to test the claim that the
distribution of U.S. households fits the...
The type of household for the U.S. population and for a random sample of 411 households...
The type of household for the U.S. population and for a random
sample of 411 households from a community in Montana are shown
below.
Type of
Household
Percent of
U.S.
Households
Observed
Number
of Households in
the Community
Married with children
26%
105
Married, no children
29%
120
Single parent
9%
28
One person
25%
91
Other (e.g., roommates, siblings)
11%
67
Use a 5% level of significance to test the claim that the
distribution of U.S. households fits the...
The age distribution of the Canadian population and the age distribution of a random sample of...
The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below.
Age
(years)
Percent of
Canadian Population
Observed
Number
in the Village
Under 5
7.2%
45
5 to 14
13.6%
83
15 to 64
67.1%
280
65 and older
12.1%
47
Use a 5% level of significance to test the claim that the age
distribution of the general Canadian population fits the age...
The type of household for the U.S. population and for a random sample of 411 households...
The type of household for the U.S. population and for a random
sample of 411 households from a community in Montana are shown
below.
Type of Household
Percent of U.S.
Households
Observed Number
of Households in
the Community
Married with children
26%
92
Married, no children
29%
120
Single parent
9%
29
One person
25%
101
Other (e.g., roommates,
siblings)
11%
69
Use a 5% level of significance to test the claim that the
distribution of U.S. households fits the...
The age distribution of the Canadian population and the age distribution of a random sample of...
The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below.
Age
(years)
Percent of
Canadian Population
Observed
Number
in the Village
Under 5
7.2%
45
5 to 14
13.6%
74
15 to 64
67.1%
286
65 and older
12.1%
50
Use a 5% level of significance to test the claim that the age
distribution of the general Canadian population fits the age...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 12 minutes ago
asked 16 minutes ago
asked 16 minutes ago
asked 16 minutes ago
asked 28 minutes ago
asked 38 minutes ago
asked 39 minutes ago
asked 43 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago