Tn this oroblem, assume that the dntribution of differences is approimately normal. Note: For degrees of freedom df. not in the Studentrs ttable, use the closest d/A that is smaler. In some stuations, thes dcholce of df. may Increase the Pvalue by a small amount and therefore produce a slightly more "conservative answer. A fve weather stations on Tral Ridge Road in Rocky Hountain National Park, the peak wind gusts (in miles per hour) for January and Aprt are recorded below 4S 126 64 78 115 102 a 61 Does this information Indicate that the peak wind gusts are hagher in January than in Apr Use a-0.01. (Letd January- Aprt.) Weather Station 1 139 104 January 124 Apri (a) what is thhe level of significance? State the nul and alternate hypotheses. wil you use a left-taled, noht-taled, or two-tarled test? O H H0, H, co, left-taled OH H0, H, >0, nght-taled OM H0, H 0, two-taled OH H0, H 0, nght-taled (b) b) What sampling distribution will you use? what assumptions are you making O The Student's t. we assume that d has an approximately uniform distnbution. O The Student's t we assume that d has an approximately normal dstribution O The standard normal we assume thatd has an approimately normal distribubon O The standard normal we assume that d has an appromately uniform distributon What is the value of the sample test statistio (Round your anwer to three decmal places.) () rind (or estmate) the Avalue O Avalue 0250 O0125 Pvale0.250 O0.050 Pvalue0.125 Oo00s valu 05 O A value c0.005 Sktch the sanging dutribuon and show the area conondng to the Pv us O 29

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O SPS Programs 5
n Uhllne LBCker. Vitu E Unuied document . G RII- GOogle search spanish
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this cholce of d.f. may Increase the Pvalue by a small amount and therefore produce a
slightly more "conservative" answer.
At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and Aprl are recorded below
Weather Station 1 2 3 4 S
139 124
104
January
64 78
April
88 61
102
Does this Information Indicate that the peak wind gusts are higher in January than in April? Use a = 0.01. (Let d= January- April.)
(a) what is the level of significance?
State the null and alternate hypotheses. will you use a left-taled, noht-tailed, or two-talled test?
O H H- 0, H H< 0; left-tailed
O Ho: Ha = 0; H, H> 0; nght-taled
O Ho: He- 0; H, H-0; two-tafled
O Hg: Ha> 0; H, Ha- 0; right-talled
(b) what sampling distribution will you use? What assumptions are you making?
O The Student's t. We assume that d has an approximately uniform distribution.
O The Student's t. We assume that d has an approximately normal distribution.
O The standard normal, We assume that d has an approximately normal distribution
O The standard normal. We assume that d has an approximately uniform distribution.
What is the value of the sample test statistic (Round vour ansver to three decimal places)
(c) Find (or estimate) the P-value.
O Pvalue > 0.250
O 0.125 < Pvalue <0.250
O 0.050 < Pvalue <0.125
O 0.025 <Pvalue <0.050
O 0.00s < Pvalue <0.025
OPvalue < 0.005
Sketch the sampling dstribution and show the area comesponding
us OvI 8:29
esc
->
)
@
23
$4
backspace
8.
1
2
4.
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Transcribed Image Text:O SPS Programs 5 n Uhllne LBCker. Vitu E Unuied document . G RII- GOogle search spanish In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this cholce of d.f. may Increase the Pvalue by a small amount and therefore produce a slightly more "conservative" answer. At five weather stations on Trail Ridge Road in Rocky Mountain National Park, the peak wind gusts (in miles per hour) for January and Aprl are recorded below Weather Station 1 2 3 4 S 139 124 104 January 64 78 April 88 61 102 Does this Information Indicate that the peak wind gusts are higher in January than in April? Use a = 0.01. (Let d= January- April.) (a) what is the level of significance? State the null and alternate hypotheses. will you use a left-taled, noht-tailed, or two-talled test? O H H- 0, H H< 0; left-tailed O Ho: Ha = 0; H, H> 0; nght-taled O Ho: He- 0; H, H-0; two-tafled O Hg: Ha> 0; H, Ha- 0; right-talled (b) what sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that d has an approximately uniform distribution. O The Student's t. We assume that d has an approximately normal distribution. O The standard normal, We assume that d has an approximately normal distribution O The standard normal. We assume that d has an approximately uniform distribution. What is the value of the sample test statistic (Round vour ansver to three decimal places) (c) Find (or estimate) the P-value. O Pvalue > 0.250 O 0.125 < Pvalue <0.250 O 0.050 < Pvalue <0.125 O 0.025 <Pvalue <0.050 O 0.00s < Pvalue <0.025 OPvalue < 0.005 Sketch the sampling dstribution and show the area comesponding us OvI 8:29 esc -> ) @ 23 $4 backspace 8. 1 2 4. {
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