1. [5 marks] On a recent fishing trip, James caught 25 smallmouth bass (a type of fresh water fish). Suppose it is known

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1 5 Marks On A Recent Fishing Trip James Caught 25 Smallmouth Bass A Type Of Fresh Water Fish Suppose It Is Known 1 (227.17 KiB) Viewed 34 times

1. [5 marks] On a recent fishing trip, James caught 25 smallmouth bass (a type of fresh water fish). Suppose it is known the distribution of the weights of smallmouth bass is normal with unknown mean u, in pounds) and a known standard deviation, o = 1.211 pounds. The sample of 25 fish had an average weight of 2.6 pounds. Calculate the p-value in order to test Ho: u = 3, and assess the amount of evidence against H., using the guidelines on page 128 of the Course Notes. Note: You can use R or any of the probability tables in the Course Notes to determine a p-value. Some general hypothesis testing notes for you: Be sure to show all steps clearly in your solution by stating Ho, identifying the test statistic to be used, along with the distribution of the test statistic, assuming H, is true. Then determine the observed value of the test statistic, showing any relevant calculations, or formulas. Based on the observed value of the test statistic, calculate the appropriate p-value, and then state the level of evidence against Ho, based on the observed data. Finally state a conclusion, in the context of the question. Be careful with your concluding statement. Important Note: We cannot prove or claim for certain that a null hypothesis is true or not. We can only state the level of evidence against Ho, based on the observed data. Obviously, the lower the p-value, the more inclined we are to believe that the null hypothesis is not credible, based on the observed data, and the higher the p-value, the more inclined we are inclined to believe that the null hypothesis is credible, based on the observed data. Please keep all of this in mind when setting up hypothesis testing questions, and making conclusions.