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Chapter 11: Q.22 (page 695)

Your teacher prepares a large container full of colored beads. She claims that 1/8of the beads are red, 1/4are blue, and the remainder are yellow. Your class will take a simple random sample of beads from the container to test the teacher’s claim. The smallest number of beads you can take so that the conditions for performing inference are met is

(a) 15. (c) 30. (e) 80.

(b) 16. (d) 40

Short Answer

Expert verified

The correct option is(d)40

Step by step solution

01

Given information 

Given in the question that, Your teacher prepares a large container full of colored beads. She claims that of1/8 the beads are red, 1/4 are blue, and the remainder are yellow. Your class will take a simple random sample of beads from the container to test the teacher’s claim .

02

Explanation

The table is,

QuadrantFrequency
1

18

2
22
3
39
4
21

The proportions are18,14,58

Here, the smallest probability is 1/8, thus it would be used to compute the frequency.

The expected frequencies are calcualted as:

E=np1=1518=1.875

E=np1=1618=2

E=np1=3018=3.75

E=np1=4018=5

E=np1=8018=10

Here, conditions are fulfilling for (d) and (e) but the smallest sample size is contained by (d). Thus, the correct option is (d).

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Most popular questions from this chapter

After randomly assigning subjects to treatments in a randomized comparative experiment, we can compare the treatment groups to see how well the random assignment worked. We hope to find no significant differences among the groups. A study on how to provide premature infants with a substance essential to their development assigned infants at random to receive one of four types of supplements, called PBM, NLCP, PL-LCP, and TG-LCP. The subjects were 77premature infants. In the experiment, 20were assigned to the PBM group and 19to each of the other treatments.

(a) The random assignment resulted in 9females in the TG-LCP group and 11 females in each of the other groups. Make a two-way table of the group by gender. Calculate the proportion of females in each treatment group. Does it appear that the random assignment roughly balanced the groups by gender? Explain.

(b) Are the differences between the groups statistically significant? Give appropriate evidence to support your answer.

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.

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

The appropriate degrees of freedom for the x2 statistic is

(a) 1 .

(b) 2 .

(c) 3 .

(d) 4 .

(e) 5 .

Some people think recycled products are lower in quality than other products, a fact that makes recycling less practical. Here are data on attitudes toward coffee filters made of recycled paper from a random sample of adults:

(a) Make a bar graph that compares buyers’ and non-buyers’ opinions about recycled filters. Describe what you see

(b) Minitab output for a chi-square test using these data is shown below. Carry out the test. What conclusion do you draw?
See all solutions

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