1. Mars, Inc. claims that their plain M&Ms©are made up of a certain percentage of orange, blue,green, yellow, red, and brown candies. We will define a trial as a randomly selected M&M froma standard pack of M&Ms. A success will be an orange M&M. Purchase a bag or two of regularM&Ms and select a sample size of 30 or more M&Ms.
Record the number of successes andfailures. Mars, Inc. claims that 20% of their M&Ms are orange.2. Explain the data collection process in detail.3. Explain the set up of the data. Define what a trial is in your data, identify your success andyour failure. Define: p,0 pˆ, pin words. Explain why you chose your particular assumedproportionp0and the alternative hypothesis.4. Report a table of your recorded data. Identify the number of trials (this is the sample size, eachM&M is a trial, so you will have 30 trials, which will be equal to the sample size), number ofsuccesses, proportion of success, number of failures, and proportion of failure. Give the values aswell as explanations in words.5. Check your assumptions, create your confidence interval, and interpret your confidenceinterval.6. Check your assumptions, state your hypotheses, calculate the z-statistic and p-value, andinterpret all results including the level of significance you chose and why you chose it. Whenyou create your hypotheses, consider what your assumed proportion should be and explain yourchoice in alternative hypothesis.7. Do the results of your hypothesis test and confidence interval concur? At what significancelevel are your two inferences? Justify.8. Define and discuss Type I and Type II error in the context of your data. If an error was made,which error could you have made? Why?9. Find the sample size for another person whom wishes to conduct a similar study given aparticular margin of error and particular confidence level using the following formula:. (This means use your sample proportion.)10. Write a short (a few paragraphs) summarization of your results that someone with absolutelyno statistical experience or idea of your experiment could read and understand everything youdid and what you found. There should be no statistical jargon at all. The entire write up will be typed double spaced 12pt Times New Roman font with all includedoutput. The entire write up will be typed, using proper statistical notation, showing calculations,and including all output. (Note: Microsoft Word: Insert > object > Microsoft Equation 3.0) Youmay use Microsoft equation editor or you can use the symbol editor.
Record the number of successes andfailures. Mars, Inc. claims that 20% of their M&Ms are orange.2. Explain the data collection process in detail.3. Explain the set up of the data. Define what a trial is in your data, identify your success andyour failure. Define: p,0 pˆ, pin words. Explain why you chose your particular assumedproportionp0and the alternative hypothesis.4. Report a table of your recorded data. Identify the number of trials (this is the sample size, eachM&M is a trial, so you will have 30 trials, which will be equal to the sample size), number ofsuccesses, proportion of success, number of failures, and proportion of failure. Give the values aswell as explanations in words.5. Check your assumptions, create your confidence interval, and interpret your confidenceinterval.6. Check your assumptions, state your hypotheses, calculate the z-statistic and p-value, andinterpret all results including the level of significance you chose and why you chose it. Whenyou create your hypotheses, consider what your assumed proportion should be and explain yourchoice in alternative hypothesis.7. Do the results of your hypothesis test and confidence interval concur? At what significancelevel are your two inferences? Justify.8. Define and discuss Type I and Type II error in the context of your data. If an error was made,which error could you have made? Why?9. Find the sample size for another person whom wishes to conduct a similar study given aparticular margin of error and particular confidence level using the following formula:. (This means use your sample proportion.)10. Write a short (a few paragraphs) summarization of your results that someone with absolutelyno statistical experience or idea of your experiment could read and understand everything youdid and what you found. There should be no statistical jargon at all. The entire write up will be typed double spaced 12pt Times New Roman font with all includedoutput. The entire write up will be typed, using proper statistical notation, showing calculations,and including all output. (Note: Microsoft Word: Insert > object > Microsoft Equation 3.0) Youmay use Microsoft equation editor or you can use the symbol editor.