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(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume that x has a normal distribution and o is unknown. O The Student's t, since we assume that x has a normal distribution and o is known. O The standard normal, since we assume that x has a normal distribution and o is known. O The standard normal, since we assume that x has a normal distribution and o is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.)

(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume that x has a normal distribution and o is unknown. O The Student's t, since we assume that x has a normal distribution and o is known. O The standard normal, since we assume that x has a normal distribution and o is known. O The standard normal, since we assume that x has a normal distribution and o is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.)

MATLAB: An Introduction with Applications
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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Homser Lake, Oregon, has an Atlantic salmon catch-and-release program that has been very successful. The average fisherman's catch has been ? = 9.0 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:
12 6 11 12 5 0 2
7 8 7 6 3 12 12

I need help with (b) and the value of the sample test statistic

Homser Lake, Oregon, has an Atlantic salmon catch-and-release program that has been very successful. The average fisherman's catch has been µ = 9.0 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: 12 6 11 12 5 7 8 7 6 3 12 12
Transcribed Image Text:Homser Lake, Oregon, has an Atlantic salmon catch-and-release program that has been very successful. The average fisherman's catch has been µ = 9.0 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: 12 6 11 12 5 7 8 7 6 3 12 12
(i) Use a calculator with sample mean and standard deviation keys find x and s. (Round your answers to two decimal places.) catches catches (ii) Assuming the catch per day has an approximately normal distribution, use a 5% level of significance to test the claim that the population average catch per day is now different from 9.0. (a) What is the level of significance? State the null and alternate hypotheses. Ο Η8: μ 9; H1: μ > 9 Ο H: μ 9; H1: μ = 9 Ο H9 μ 9; H1: μ <9 Ο Η: μ + 9; H μ=9. Ο H6: μ= 9; H1: μ 9 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume that x has a normal distribution and o is unknown. O The Student's t, since we assume that x has a normal distribution and o is known. O The standard normal, since we assume that x has a normal distribution and o is known. O The standard normal, since we assume that x has a normal distribution and o is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. O P-value > 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010
Transcribed Image Text:(i) Use a calculator with sample mean and standard deviation keys find x and s. (Round your answers to two decimal places.) catches catches (ii) Assuming the catch per day has an approximately normal distribution, use a 5% level of significance to test the claim that the population average catch per day is now different from 9.0. (a) What is the level of significance? State the null and alternate hypotheses. Ο Η8: μ 9; H1: μ > 9 Ο H: μ 9; H1: μ = 9 Ο H9 μ 9; H1: μ <9 Ο Η: μ + 9; H μ=9. Ο H6: μ= 9; H1: μ 9 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since we assume that x has a normal distribution and o is unknown. O The Student's t, since we assume that x has a normal distribution and o is known. O The standard normal, since we assume that x has a normal distribution and o is known. O The standard normal, since we assume that x has a normal distribution and o is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Estimate the P-value. O P-value > 0.250 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010
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