Question

In: Statistics and Probability

Mars Inc. claims that they produce M&Ms with the following distributions: Brown 30% Red 20% Yellow...

Mars Inc. claims that they produce M&Ms with the following distributions:

Brown 30% Red 20% Yellow 20%
Orange 10% Green 10% Blue 10%


A bag of M&Ms was randomly selected from the grocery store shelf, and the color counts were:

Brown 25 Red 23 Yellow 21
Orange 13 Green 15 Blue 14


Using the ?2 goodness of fit test (? = 0.10) to determine if the proportion of M&Ms is what is claimed. Select the [p-value, Decision to Reject (RH0) or Failure to Reject (FRH0)].

Solutions

Expert Solution



Related Solutions

Mars Inc. claims that they produce M&Ms with the following distributions: Brown 30% Red 20% Yellow...
Mars Inc. claims that they produce M&Ms with the following distributions: Brown 30% Red 20% Yellow 20% Orange 10% Green 10% Blue 10% A bag of M&Ms was randomly selected from the grocery store shelf, and the color counts were: Brown 23 Red 21 Yellow 20 Orange 16 Green 15 Blue 14 Find the 95% confidence interval for the proportion of blue M&Ms in that bag. a) [0.066, 0.191] b) [0.116, 0.121] c) [-0.014, 0.191] d) [0.066, -0.009] e) [-0.034,...
Mars Inc. claims that they produce M&Ms with the following distributions: Brown 30% Red 20% Yellow...
Mars Inc. claims that they produce M&Ms with the following distributions: Brown 30% Red 20% Yellow 20% Orange 10% Green 10% Blue 10% A bag of M&Ms was randomly selected from the grocery store shelf, and the color counts were: Brown 23 Red 21 Yellow 21 Orange 15 Green 16 Blue 14 Using the ?2 goodness of fit test to determine if the proportion of M&Ms is what is claimed, what is the test statistic?
Mars Inc. claims that they produce M&Ms with the following distributions: Brown 20% Red 25% Yellow...
Mars Inc. claims that they produce M&Ms with the following distributions: Brown 20% Red 25% Yellow 25% Orange 5% Green 15% Blue 10% A bag of M&Ms was randomly selected from the grocery store shelf, and the color counts were: Brown 21 Red 21 Yellow 19 Orange 12 Green 17 Blue 13 Using the χ2 goodness of fit test (α = 0.05) to determine if the proportion of M&Ms is what is claimed. Select the [test statistic, p-value, Decision to...
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...
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.
1. Let M denote set of m&ms in a bag. This consist of red, yellow, green,...
1. Let M denote set of m&ms in a bag. This consist of red, yellow, green, blue and brown candies. a. Device on equivalence relation on M. b. Define relation R on M by: aRb if and only if either: a is green or b is blue, or, a is yellow abd b is not yellow. Is R symmetric, reflexive, transitive or anti-symmetric? Explain. 2. On set Zx(Z not including {0}) define relation R (a,b) a,b e Z, b#0 as...
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?
1. Suppose that M&M claims that their Plain M&Ms have an equal proportion of red and...
1. Suppose that M&M claims that their Plain M&Ms have an equal proportion of red and brown. a. Test the claim that the proportion of red M&Ms is greater than the proportion of brown M&Ms. b. Discuss your choice of ?. i. Why did you choose the ? you did? ii. If you had chosen a different ?, would it have affected your conclusion?
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...
In 1995 the Mars Company replaced tan M&Ms with blue M&Ms. A sample of 100 plain...
In 1995 the Mars Company replaced tan M&Ms with blue M&Ms. A sample of 100 plain M&Ms before the introduction of blue M&Ms had a mean weight 0.9160g with a standard deviation of 0.0433g. A sample of 100 plain M&Ms taken after 1995 had a mean weight of 0.9147g and a standard deviation of 0.0369g. (a) Construct the 98% confidence interval for the difference in the mean weight of plain M&Ms before and after the introduction of blue M&Ms. List:...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT