the weights of salmon grown at a commercial hatchery are nor- mally distributed with a standard deviation of 1.2 pounds. the hatchery claims that the mean weight of this year’s crop is at least 7.6 pounds. sup- pose a random sample of 16 fish yields an average weight of 7.2 pounds. is this strong enough evidence to reject the hatchery’s claims at the 5 percent level of significance? how about 1 percent level of significance? what is the p-value?

Since pp-value is greater than all considerable significance levels (alpha = 0.05, 0.01α=0.05,0.01), we fail to reject the null hypothesis. In order words, we do not have enough evidence to disapprove hatchery's claims.

What is hypothesis?

A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis). A straightforward hypothesis is a claim that expresses the relationship between precisely two variables. a dependent and a single independent. Take the statement "Smoking is a significant cause of lung cancer" as an example. Smoking is an independent variable that influences the dependent variable, lung cancer.

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