A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 12 mature female pink seaperch collected in fall has a mean length of 106 millimeters and a standard deviation of 15 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean length of 102 millimeters and a standard deviation of 11 millimeters. At a = 0.01, 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 greater in the winter than in the fall." OB. The mean length of mature female pink seaperch is the same in fall and winter." OC. "The mean length of mature female pink seaperch is greater in the fall than in the winter." OD. The mean length of mature female pink seaperch is different 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 alternative hypothesis, Ha O 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 needed.) Select the correct rejection region(s) below. OA. t< -to OB. t>o oc -6 to (c) Find the standardized test statistic. t%3(Type an integer or decimal rounded to three decimal places as needed.)

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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 12 mature female pink seaperch collected in fall has a mean length of 106 millimeters and a standard deviation of 15 millimeter

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 12 mature female pink seaperch collected in fall has a mean length of 106 millimeters and a standard deviation of 15 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean length of 102 millimeters and a standard deviation ofV11 millimeters. At α=0.01, 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.

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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