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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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