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Chapter 11: 1 (page 692)

Aw, nuts! A company claims that each batch of its deluxe mixed nuts contains 52%cashews, 27%almonds,13%macadamia nuts, and 8% brazil nuts. To test this claim, a quality control inspector takes a random sample of 150nuts from the latest batch. The one-way table below displays the sample data.

(a) State appropriate hypotheses for performing a test of the company鈥檚 claim.

b) Calculate the expected counts for each type of nut. Show your work.

Short Answer

Expert verified

(a) The null hypothesis will be H0 : The observed count of each type of nuts in a group of 150nuts from latest batch are same as claimed count of nuts in a group of 150

Versus

H1: The observed counts of each type of nuts in a group of 150nuts from latest batch are not same as claimed count of nuts in a group of150.

(b)

Step by step solution

01

Part (a) Step 1: 

The hypotheses for performing a test of company's claim that each batch of its deluxe mixed nuts contains 52%cashews, $27 \%$ almonds, $13 \%$ macadamia and $8 \%$ brazil nuts whereas a random sample of 150 nuts from each batch is having the following composition.

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