1.Homser Lake, Oregon, has an Atlantic salmon catch and release program that has been very successful. The average fisherman's catch has been ? = 5.0 Atlantic salmon per day. Suppose that a new quota system restricting the number of fishermen has been put into effect this season. A random sample of fishermen gave the following catches per day. Assuming the catch per day has an approximately normal distribution, use a 10% level of significance to test the claim that the population average catch per day is now different from 5.0.1261112502787631212(a) Calculate sample mean x and standard deviation s. (Use 2 decimal places)x s (b) What is the level of significance?(c) What is the value of the sample test statistic? (Use 3 decimal places)(d) Find the P-value. (Express to 4 decimal places)(e) State your conclusion in the context of the application.Fail to reject the null hypothesis, there is sufficient evidence that the catch is different from 5.0 fish per day.Reject the null hypothesis, there is insufficient evidence that the catch is different from 5.0 fish per day. Reject the null hypothesis, there is sufficient evidence that the catch is different from 5.0 fish per day.Fail to reject the null hypothesis, there is insufficient evidence that the catch is different from 5.0 fish per day.

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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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1.Homser Lake, Oregon, has an Atlantic salmon catch and release program that has been very successful. The average fisherman's catch has been ? = 5.0 Atlantic salmon per day. Suppose that a new quota system restricting the number of fishermen has been put into effect this season. A random sample of fishermen gave the following catches per day. Assuming the catch per day has an approximately normal distribution, use a 10% level of significance to test the claim that the population average catch per day is now different from 5.0.

12	6	11	12	5	0	2
7	8	7	6	3	12	12

(a) Calculate sample mean x and standard deviation s. (Use 2 decimal places)

x
s

(b) What is the level of significance?

(c) What is the value of the sample test statistic? (Use 3 decimal places)

(d) Find the P-value. (Express to 4 decimal places)

(e) State your conclusion in the context of the application.

Fail to reject the null hypothesis, there is sufficient evidence that the catch is different from 5.0 fish per day.Reject the null hypothesis, there is insufficient evidence that the catch is different from 5.0 fish per day. Reject the null hypothesis, there is sufficient evidence that the catch is different from 5.0 fish per day.Fail to reject the null hypothesis, there is insufficient evidence that the catch is different from 5.0 fish per day.

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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