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Chapter 11: Q.1.1 (page 681)

Mars, Inc., reports that their M&M’S Peanut Chocolate Candies are produced according to the following color distribution: 23% each of blue and orange, 15% each of green and yellow, and 12% each of red and brown. Joey bought a bag of Peanut Chocolate Candies and counted the colors of the candies in his sample: 12 blue, 7 orange, 13 green, 4 yellow, 8 red, and 2 brown

State appropriate hypotheses for testing the company’s claim about the color distribution of peanut M&M’S

Short Answer

Expert verified

The null and alternative hypotheses are:

H0:All of the M\&M distribution are correct

Ha: At least one of theM&Mdistribution is correct

Step by step solution

01

Given Information

The number of blue, orange, green, yellow, red, and brown candies are 12,7,13,4,8 and 2 respectively. The proportions are 23%,15%and 12%respectively.

02

Explanation

The null hypothesis is the hypothesis is to be tested

Another hypothesis is alternative hypothesis

The null and alternative hypotheses are:

H0:All of theM&Mdistribution are correct

Ha:At least one of theM&Mdistributions is correct

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Most popular questions from this chapter

Mars, Inc., reports that their M&M’S Peanut Chocolate Candies are produced according to the following color distribution: 23% each of blue and orange, 15% each of green and yellow, and 12% each of red and brown. Joey bought a bag of Peanut Chocolate Candies and counted the colors of the candies in his sample: 12 blue, 7 orange, 13 green, 4 yellow, 8 red, and 2 brown.

Calculate the chi-square statistic for Joey’s sample. Show your work.

Aw, nuts! Calculate the chi-square statistic for the data in Exercise 1. Show your work.

32. How are schools doing? Refer to Exercises 28 and 30 .

(a) Check that the conditions for performing the chi-square test are met.

(b) Use Table Cto find the P-value. Then use your calculator's χ2cdfcommand.

(c) Interpret the P-value from the calculator in context.

(d) What conclusion would you draw? Justify your answer.

Calculate the chi-square statistic. Show your work.

The appropriate degrees of freedom for the x2 statistic is

(a) 1 .

(b) 2 .

(c) 3 .

(d) 4 .

(e) 5 .
See all solutions

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