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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’s 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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Most popular questions from this chapter

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’s claim.

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

Calculate the chi-square statistic. Show your work.

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12If births are spread uniformly across the year, we expect all 12 signs to be equally likely. Are these data inconsistent with that belief? Carry out an appropriate test to support your answer. If you find a significant result, perform a follow-up analysis

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Refer to Exercise 37. Do the data provide convincing evidence of a difference in the effectiveness of the four treatments? Carry out an appropriate test at the α=0.05significance level
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