Is fishing better from a boat or from the shore? Pyramid Lake is located on the Palute 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. B: Shore A: Boat LAUSE SALT Oct Nov Dec Jan Feb March 1.5 1.9 2.1 3.2 3.9 3.6 1.3 1.5 1.7 2.2 3.0 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-8-A.). [significance?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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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 Palute 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.
B: Shore
A: Boat
LAUSE SALT
Oct Nov
1.5 1.9
1.3 1.5
Dec
2.1
1.7 2.2 3.3
Jan Feb March
3.2 3.9 3.6
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?
0.01
✓
State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
O Hoi Ho= 0; H₂: H=0; two-tailed
O Hoi Hg=0; H₁ Ha<0; left-tailed
Ho: H0; H₂: Hg 0; two-tailed
O Hoi Hg = 0; H₁: Ha> 0; right-tailed
(c) Find (or estimate) the P-value.
OP-value> 0.500
April
3.3
3.8
(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.
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.
O The Student's t. We assume that d has an approximately normal distribution.
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
OP-value < 0.010
x
What is the value of the sample test statistic? (Round your answer to three decimal places.)
2.2021
✓
x
Sketch the sampling distribution and show the area corresponding to the P-value.
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 Palute 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. B: Shore A: Boat LAUSE SALT Oct Nov 1.5 1.9 1.3 1.5 Dec 2.1 1.7 2.2 3.3 Jan Feb March 3.2 3.9 3.6 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? 0.01 ✓ State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Hoi Ho= 0; H₂: H=0; two-tailed O Hoi Hg=0; H₁ Ha<0; left-tailed Ho: H0; H₂: Hg 0; two-tailed O Hoi Hg = 0; H₁: Ha> 0; right-tailed (c) Find (or estimate) the P-value. OP-value> 0.500 April 3.3 3.8 (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. 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. O The Student's t. We assume that d has an approximately normal distribution. 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 OP-value < 0.010 x What is the value of the sample test statistic? (Round your answer to three decimal places.) 2.2021 ✓ x Sketch the sampling distribution and show the area corresponding to the P-value.
O The standard normal. 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.)
2.2021
✓
(c) Find (or estimate) the P-value.
O P-value> 0.500
0.250P-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
X
Sketch the sampling distribution and show the area corresponding to the P-value.
X
i
Transcribed Image Text:O The standard normal. 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.) 2.2021 ✓ (c) Find (or estimate) the P-value. O P-value> 0.500 0.250P-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 X Sketch the sampling distribution and show the area corresponding to the P-value. X i
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