millimeters. A sample of 11 mature female pink seaperch collected in winter has a mean length of 108 millimeters and a standard deviation of 11 millimeters. At a = 0.05, can you support the marine biologist's claim? Assume the popula variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. a) Identify the claim and state Ho and Ha. Which is the correct claim below? O A. The mean length of mature female pink seaperch is different in fall and winter." O B. The mean length of mature female pink seaperch is greater in the fall than in the winter." OC. The mean length of mature female pink seaperch is greater in the winter than in the fall." O D. The mean length of mature female pink seaperch is the same in fall and winter." What are Ho and Ha? The null hypothesis, Ho, is V The alternative hypothesis, Ha, is Which hypothesis is the claim? o The null hypothesis, Ho o The alternative hypothesis, Ha b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Select the correct rejection region(s) below. OA. t< -to. t>'o OB. -6'o OD. t< -to c) Find the standardized test statistic. =OType an integer or decimal rounded to three decimal places as needed.) d) Decide whether to reject or fail to reject the null hypothesis. V the null hypothesis. e) Interpret the decision in the context of the original claim. At the 5% significance level, V enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fall and winter.

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

A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of13 mature female pink seaperch collected in fall has a mean length of 112 millimeters and a standard deviation of 10 millimeters. A sample of 11 mature female pink seaperch collected in winter has a mean length of 108 millimeters and a standard deviation ofv11 millimeters. At α=0.05​, can you support the marine​ biologist's claim? Assume the population variances are equal. Assume the samples are random and​ independent, and the populations are normally distributed. Complete parts​ (a) through​ (e) below.

A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 13 mature female pink seaperch collected in fall has a mean length of 112 millimeters and a standard deviation of 10
millimeters. A sample of 11 mature female pink seaperch collected in winter has a mean length of 108 millimeters and a standard deviation of 11 millimeters. At a = 0.05, can you support the marine biologist's claim? Assume the population
variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below.
(a) Identify the claim and state Ho and Ha.
Which is the correct claim below?
O A. "The mean length of mature female pink seaperch is different in fall and winter."
O B. "The mean length of mature female pink seaperch is greater in the fall than in the winter."
OC. "The mean length of mature female pink seaperch is greater in the winter than in the fall."
O D. "The mean length of mature female pink seaperch is the same in fall and winter."
What are Ho and H?
The null hypothesis, Ho, is
V The alternative hypothesis, Ha, is
Which hypothesis is the claim?
O The null hypothesis, Ho
O The alternative hypothesis, Ha
(b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below.
(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)
Select the correct rejection region(s) below.
O A. t< - to, t>to
O B. - to <t<to
OC. t>to
O D. t< -to
(c) Find the standardized test statistic.
t=
E (Type an integer or decimal rounded to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
the null hypothesis.
(e) Interpret the decision in the context of the original claim.
At the 5% significance level,
V enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fall and winter.
Transcribed Image Text:A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 13 mature female pink seaperch collected in fall has a mean length of 112 millimeters and a standard deviation of 10 millimeters. A sample of 11 mature female pink seaperch collected in winter has a mean length of 108 millimeters and a standard deviation of 11 millimeters. At a = 0.05, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha. Which is the correct claim below? O A. "The mean length of mature female pink seaperch is different in fall and winter." O B. "The mean length of mature female pink seaperch is greater in the fall than in the winter." OC. "The mean length of mature female pink seaperch is greater in the winter than in the fall." O D. "The mean length of mature female pink seaperch is the same in fall and winter." What are Ho and H? The null hypothesis, Ho, is V The alternative hypothesis, Ha, is Which hypothesis is the claim? O The null hypothesis, Ho O The alternative hypothesis, Ha (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Select the correct rejection region(s) below. O A. t< - to, t>to O B. - to <t<to OC. t>to O D. t< -to (c) Find the standardized test statistic. t= E (Type an integer or decimal rounded to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 5% significance level, V enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fall and winter.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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.
Similar questions
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