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Lab 12.1 Performing a Goodness of Fit Test This activity will involve of M&Ms to the expected color distribution that is advertised by the manufacturer. Do you think the advertised color distribution is accurate? How can you decide? comparing the observed color distribution in a bag For this activity, you will need a bog of M&Ms in the traditional colors (no holiday or special packs). 1. Open your bag of M&Ms and count the number of M&Ms. Number of M&Ms in your bag: The company that produces M&M products used to advertise on their website that the color distribution for M&M products is as follows: 2. Brown 13% Yellow 14% Red 13% Blue 24% Orange 20% Green 16% Based on this information from the manufacturer, calculate the expected number of M&Ms of each color in your bag. You will need to consider the total number of M&Ms in your bag, along with the advertised proportions. Record these expected frequencies in the table below Observed Frequencies cte Expected Frequencies Color expected Brown Yellow Red Blue Orange Green Total Now count how many M&Ms you have in each color in your bag. Enter these observed frequencies in the table above. 3. Are there any observed frequencies in the table that seem very different from the expected frequency? Explain. 4.
Write the hypotheses needed to test if your bag of M&Ms has the same proportions as those advertised by the manufacturer. 5. Calculate the value of the chi-square test statistic. Use the last column in the table to record your work. You may use the StatCrunch to find the chi-square test statistic. 6. 7. Write a conclusion for the test based on your value of the test statistic or the P-value.
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