In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom 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 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. B represent hours per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat following data are paired by month from October through April. Oct Nov Dec Jan Feb March April B: Shore 1.4 1.9 2.1 3.2 3.9 3.6 3.3 A: Boat 1.4 1.5 1.6 2.2 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 bc compared with fishing from the shore. (Let d = B- A.) (a) What is the level of significance? .01 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Hot Hd# 0; H: Hd = 0; two-tailed O Ho: Hd=0: H: H#0; two-tailed O Ho: Hd = 0: H: Hg< 0; left-tailed O Ho: H= 0; H: H> 0; right-tailed %3D (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. The standard normal. We assume that d has an approximately normal distribution.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
12)
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
Nov
Dec
Jan
Feb
March
April
B: Shore
1.4
1.9
2.1
3.2
3.9
3.6
3.3
A: Boat
1.4
1.5
1.6
2.2
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 = B- A.)
(a) What is the level of significance?
.01
State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
Ho: H 0; H,: H=0; two-tailed
O Ho: Hd=0: H: H 0; two-tailed
O Ho: Hd= 0; H: H 0; left-tailed
O Ho: Hd=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.
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.
The Student's t. We assume that d has an approximately normal distribution.
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 Nov Dec Jan Feb March April B: Shore 1.4 1.9 2.1 3.2 3.9 3.6 3.3 A: Boat 1.4 1.5 1.6 2.2 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 = B- A.) (a) What is the level of significance? .01 State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Ho: H 0; H,: H=0; two-tailed O Ho: Hd=0: H: H 0; two-tailed O Ho: Hd= 0; H: H 0; left-tailed O Ho: Hd=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. 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. 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.)
2.28
(c) Find (or estimate) the P-value.
O P-value > 0.500
O 0.250 < P-value < 0.500
0.100 < P-value < 0.250
0.050 < P-value < 0.100
Transcribed Image Text:What is the value of the sample test statistic? (Round your answer to three decimal places.) 2.28 (c) Find (or estimate) the P-value. O P-value > 0.500 O 0.250 < P-value < 0.500 0.100 < P-value < 0.250 0.050 < P-value < 0.100
Expert Solution
Step 1
B A d
1.4 1.4 0
1.9 1.5 0.4
2.1 1.6 0.5
3.2 2.2 1
3.9 3.3 0.6
3.6 3 0.6
3.3 3.8 -0.5
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman