Question

In: Statistics and Probability

6. According to Mars Inc., the distribution of colors of the M&M candies is given in...

6. According to Mars Inc., the distribution of colors of the M&M candies is given in the table below. Several bags were randomly chosen and the percentages of each color were found to be as follows: Brown – 15.3%, Yellow – 18.1%, Red – 11.7%, Blue – 19.8%, Orange – 22.6%, and Green – 12.5%. According to this sample, does it appear that the distribution of colors does not fit what’s expected, according to the manufacturer’s percentages? State your hypotheses, test statistic, p-value, and conclusion (in terms of the problem).

Color Percentage

Brown 13%

Yellow 14%

Red 13%

Blue 24%

Orange 20%

Green 16%

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the...
M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows. Suppose you have a bag of M&M’s and you choose one candy at random. Color Purple Yellow Red Orange Green Blue Brown Percentage 21% 17% 19% 9% 8% 6% 20% a.) Find the P (purple or green candy). b.) Find the P (not red). c.) Find the P (brown).
M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the...
M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows. Color: Purple 23%, Yellow 19%, Red 22%, Orange 9%, Green 6%, Blue 6%, Brown 15% Suppose you have a large bag of plain M&M candies and you choose one candy at random. (a) Find P(green candy or blue candy). Are these outcomes mutually exclusive? Why? A. Yes. Choosing a green and blue M&M is...
Mars Inc., makers of M & M's candies, claims that they produce plain M & M's...
Mars Inc., makers of M & M's candies, claims that they produce plain M & M's with the following distribution Brown: 30% Red: 20% Yellow: 20% Orange: 10% Green: 1096 Blue: 10% A bag of plain M & M's was randomly selected trom the grocery store shelf, and the color counted were as follows Brown: 16 Red: 11Yellow: 19 Orange: 5 Green: 7 Blue: 3 How many total M & Ms were in this sample (This is your n)? What...
Mars, Inc. states that 24% of its M&M plain candies are blue and that 16% are...
Mars, Inc. states that 24% of its M&M plain candies are blue and that 16% are green. Assume that they are correct and a large random sample of plain M&Ms is randomly selected from the factory. A. What is the probability that if twenty M&Ms were eaten randomly from the sample, that exactly four of them would be green? B. Find the mean and standard deviation for the above binomial probability distribution in part c. Based on that, would it...
The Mars/M&M’s company claims that the proportions of the colors of M&M’s are the same for...
The Mars/M&M’s company claims that the proportions of the colors of M&M’s are the same for all colors. The colors are orange, blue, red, brown, yellow and green. Imagine in a sample of 100 candies, you get 24 blue. 1. What is your null and alternative? a. H0: p = 0.24, H1: p ≠ 0.24 b. H0: p = 0.167, H1: p ≠ 0.24 c. H0: p = 0.24, H1: p ≠ 0.167 d. H0: p = 0.167, H1: p...
The Mars candy company claims that the percentage of blue M&Ms [2] candies is 24%. A...
The Mars candy company claims that the percentage of blue M&Ms [2] candies is 24%. A sample of 200 M&Ms candies was selected and 54 candies were blue. a) State the null hypothesis and the alternative hypothesis. b) Test the claim using a significance level of 0.05. c) State your conclusion. Should the Mars company take corrective action?
According to Mars, Inc., 20% of all M&Ms produced are blue. One bag of 50 M&Ms...
According to Mars, Inc., 20% of all M&Ms produced are blue. One bag of 50 M&Ms represents the sample for this problem. The sample data can be used to perform a two-sided hypothesis test to test whether 20% of all M&Ms are blue. In one bag of 50 M&Ms, there are 14 blue M&Ms. Use this data to test whether 20% of all M&Ms are blue.
Q: The mars company claims that 13 percent of M&Ms plain candies distributed into bags are...
Q: The mars company claims that 13 percent of M&Ms plain candies distributed into bags are brown. Investigate this claim with an appropriate hypothesis test. Use a significance level of a= 0.05 Color Count Brown 33 Non-Brown 242 Total 275 1. The p-value for this test statistic is: _______________. 2. Null Hypothesis: 3. Alternative Hypothesis: 4. Conclusion: We REJECT/DO NOT REJECT the null hypothesis. (Circle the correct answer) State what this conclusion means in terms of the problem. 5. Would...
According to the M&M® website, the average percentage of brown M&M® candies in a package of...
According to the M&M® website, the average percentage of brown M&M® candies in a package of milk chocolate M&Ms is 14%. (This percentage varies, however, among the different types of packaged M&Ms.) Suppose you randomly select a package of milk chocolate M&Ms that contains 57 candies and determine the proportion of brown candies in the package. (b) What is the probability that the sample proportion of brown candies is less than 25%? (Round your answer to four decimal places.) (c)...
15. A candy company makes five different colors of candies. Find the sample proportion of candies...
15. A candy company makes five different colors of candies. Find the sample proportion of candies that are green. Use that result to test the claim that 15​% of the​ company's candies are green. Use the data in the table​ below, the​ P-value method, and a significance level of 0.025. What are the null and alternative​ hypotheses? A. H 0 : p ≠ 0.15 H 1 : p = 0.15 B.H 0 : p > 0.15 H 1 : p...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT