A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 10 mature female pink seaperch collected in fall has a mean length of 111 millimeters and a standard deviation of 12 millimeters. A sample of 2 mature female pink seaperch collected in winter has a mean length of 105 millimeters and a standard deviation of 14 millimeters. At α=0.20, 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 H, and H.Which is the correct claim below?O A. "The mean length of mature female pink seaperch is the same in fall and winter."B. "The mean length of mature female pink seaperch is greater in the fall than in the winter."O C. "The mean length of mature female pink seaperch is different in fall and winter."D. "The mean length of mature female pink seaperch is greater in the winter than in the fall."What are Ho and H?The null hypothesis, Ho, isV The alternative hypothesis, H, isWhich hypothesis is the claim?The alternative hypothesis, HaThe null hypothesis, Ho(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 n Select the correct rejection region(s) below.O A. -to toO D. t>to(c) Find the standardized test statistic.(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 20% significance level,V enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fallwinter.

Name: A marine biologist claims that the mean length of mature female pink s
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 10 mature female pink seaperch collected in fall has a mean length of 111 millimeters and a standard deviation of 12 millimeter

we have given that n1=10 ,n2=2 ,xbar1=111,xbar2=105,and s1=12 ,s2=14 Note : according to bartleby…

Answered: A marine biologist claims that the mean…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 10 mature female pink seaperch collected in fall has a mean length of 111 millimeters and a standard deviation of 12 millimeters. A sample of 2 mature female pink seaperch collected in winter has a mean length of 105 millimeters and a standard deviation of 14 millimeters. At α=0.20, 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 H, and H.
Which is the correct claim below?
O A. "The mean length of mature female pink seaperch is the same in fall and winter."
B. "The mean length of mature female pink seaperch is greater in the fall than in the winter."
O C. "The mean length of mature female pink seaperch is different in fall and winter."
D. "The mean length of mature female pink seaperch is greater in the winter than in the fall."
What are Ho and H?
The null hypothesis, Ho, is
V The alternative hypothesis, H, is
Which hypothesis is the claim?
The alternative hypothesis, Ha
The null hypothesis, Ho
(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 n

Select the correct rejection region(s) below.
O A. -to <t<to
O B. t< -to
O C. t< -to, t> to
O D. t>to
(c) Find the standardized test statistic.
(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 20% significance level,
V enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fall
winter.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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