In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's : table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the Prvalue by a small amount and therefore produce a alightly more "conservative" answer. Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Resenrvation 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. Apnil 3.3 3.8 Use a 19% 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.) Oct Nov 1.5 1.9 A: Boat 14 1.3 Dec 1.9 1.5 2.2 3.3 March 3.6 3.0 Jan Feb 3.9 3.2 B: Shore 1.5 (a) What is the level of significance? 0.01 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Hi H- 0: H, H, < 0; left-tailed O Hi H = 0; H, Hy > O; right-tailed • Hi H,- 0; H, :H. 0: two-tailed O Hi H # 0; H,: R, - 0; two-tailed (b) What sampling distribution will you use? What assumptions are you making? O The Student's . We assume that d has an approximately uniform distribution. O The standard normal. We assume that d has an approximately uniform distribution. • The Student's t. We assume that d has an approximately normal distribution. O The standard normal. We assume that d has an approscimately normal distribution. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the Prvalue. O P-value > 0.500 O 0.250 < Pvalue < 0.500 O 0.100 < P-value < 0.250 O 0.050 < Prvalue < 0.100 O 0.010 < Prvalue < 0.050 O P-value < 0.010

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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 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.
|Oct
B: Shore 1.5
1.4
Feb
March
April
3.3
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 = B - A.)
Dec Jan
1.9
1.5
Nov
1.9
3.2
3.9
3.6
A: Boat
1.3
2.2
3.3
3.0
(a) What is the level of significance?
0.01
State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
O H,: H, = 0; H,: H, < 0; left-tailed
O H,: H, = 0; H, : H, > 0; right-tailed
O H,: H, = 0; H, : # 0; two-tailed
O H,i H, + 0; H, : 4, = 0; two-tailed
(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 standard normal. We assume that d has an approximately uniform distribution.
• 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.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
(c) Find (or estimate) the P-value.
O P-value > 0.500
O 0.250 < P-value < 0.500
O 0.100 < P-value < 0.250
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
O P-value < 0.010
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 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 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. |Oct B: Shore 1.5 1.4 Feb March April 3.3 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 = B - A.) Dec Jan 1.9 1.5 Nov 1.9 3.2 3.9 3.6 A: Boat 1.3 2.2 3.3 3.0 (a) What is the level of significance? 0.01 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O H,: H, = 0; H,: H, < 0; left-tailed O H,: H, = 0; H, : H, > 0; right-tailed O H,: H, = 0; H, : # 0; two-tailed O H,i H, + 0; H, : 4, = 0; two-tailed (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 standard normal. We assume that d has an approximately uniform distribution. • 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. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.500 O 0.250 < P-value < 0.500 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010
Expert Solution
Step 1

State the hypotheses.

Statistics homework question answer, step 1, image 1

That is, there is no evidence to conclude that there is difference in the population mean hours per fish caught using a boat compared with fishing from the shore.

Statistics homework question answer, step 1, image 2

That is, there is evidence to conclude that there is difference in the population mean hours per fish caught using a boat compared with fishing from the shore.

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