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 choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row 8 represent hours per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from October through April. April 3.3 3.8 Oct Nov Dec Jan Feb March B: Shore 1.4 1.4 1.9 1.5 2.1 3.2 3.9 3.6 A: Boat 1.6 2.2 3.3 3.0 Use a 1% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore. (Let d= 8- A.) (a) What is the level of significance? State the null and altemate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O H: H* 0; H,iHg=0; two-tailed O Ho: H0; H:0; two-tailed O H: H= 0; H,:H< 0; left-tailed O H: = 0; H,: H > 0; right-tailed (b) What sampling distribution will you use? what assumptions are you making? O The standard normal. We assume that d has an approximately uniform distribution. O The standard normal. We assume that d has an approximately normal distribution. 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 normnal distrinurion

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(c) Find (or estimate) the P-value.
O P-value > 0.500
O 0.250 < P-value < 0.500
O 0.100 < Pvalue < 0.250
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
O P-value < 0.010
Sketch the sampling distribution and show the area corresponding to the P-value.
Pvtue
P.vaus
Transcribed Image Text:(c) Find (or estimate) the P-value. O P-value > 0.500 O 0.250 < P-value < 0.500 O 0.100 < Pvalue < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value. Pvtue P.vaus
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 cosest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small
amount and therefore produce a slightly more "conservative" answer.
Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents,
movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row B represent hours
per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by
month from October through April.
Feb
April
3.3
Oct
Nov
Dec
Jan
March
B: Shore
1.4
1.9
2.1
1.6
3.2
2.2
3.9
3.6
A: Boat
1.4
1.5
3.3
3.0
3.8
Use a 1% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared
with fishing from the shore. (Let d = 8- A.)
(a) What is the level of significance?
State the null and altemate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
O H: H0; H,: 0; two-tailed
O H: H0; H:# 0; two-tailed
O H: = 0; H,:H< 0; left-tailed
O H: = 0; H: H, > 0; right-tailed
(b) What sampling distribution will you use? What assumptions are you making?
O The standard normal. We assume that d has an approximately uniform distribution.
O The standard normal. We assume that d has an approximately normal distribution.
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.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
Transcribed Image Text: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 cosest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row B represent hours per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from October through April. Feb April 3.3 Oct Nov Dec Jan March B: Shore 1.4 1.9 2.1 1.6 3.2 2.2 3.9 3.6 A: Boat 1.4 1.5 3.3 3.0 3.8 Use a 1% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore. (Let d = 8- A.) (a) What is the level of significance? State the null and altemate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O H: H0; H,: 0; two-tailed O H: H0; H:# 0; two-tailed O H: = 0; H,:H< 0; left-tailed O H: = 0; H: H, > 0; right-tailed (b) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that d has an approximately uniform distribution. O The standard normal. We assume that d has an approximately normal distribution. 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. What is the value of the sample test statistic? (Round your answer to three decimal places.)
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