A Sample of 30 Cookies Is Taken to Test the Claim

question 145

Essay

A sample of 30 cookies is taken to test the claim that each cookie contains at least 9 chocolate chips. The average number of chocolate chips per cookie in the sample was 7.8 with a standard deviation of 3.
a.State the null and alternative hypotheses.
b.Using the critical value approach, test the hypotheses at the 5% level of significance.
c.Using the p-value approach, test the hypothesis at the 5% level of significance.
d.Compute the probability of a Type II error if the true number of chocolate chips per cookie is 8.

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Definitions:

Logotype

A unique design of a company’s name in a specific, fixed style of type, used as a visual symbol of the company’s identity.

Trademark Office

A government agency responsible for registering and protecting trademarks, which are symbols, logos, or names that distinguish goods and services.

Trademark Infringement

The illicit application of a trademark or service mark to products and/or services without permission, in a way that may lead to confusion, deceit, or error regarding the origin of those goods and/or services.

Efficient Shoppers

Refers to consumers who maximize their shopping experience by making well-informed and cost-effective choices.