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Using the values for the total number of candies per bag from the entire class (copied below), create an appropriate graph for quantitative data. Be
- Using the values for the total number of candies per bag from the entire class (copied below), create an appropriate graph for quantitative data. Be sure to label and title your graph appropriately. You may use GeoGebra to create the graph, but you'll need to add the labels and title by hand or in an editing program.
- Describe the shape of your graph. Based on the shape, identify and compute the appropriate values for the center and variability of your distribution.
- Are there any outliers in the data set? Justify your answer by showing your work to compute the outlier fences.
- Check the conditions for using the normal model to compute a confidence interval or perform a hypothesis test for . State whether or not the conditions are met and whether you believe the results you obtain in steps E and F will be valid.
- Use the class data to compute a 95% confidence interval for the true mean number of candies per bag for all 2.17 ounce bags of Skittles using GeoGebra. Round the values for the class mean and standard deviation to 4 decimal places in your input. Include an image that shows the inputs you entered and the output that resulted. Write an interpretation of the confidence interval in context. .
- Write the hypotheses for a two-sided hypothesis test for the mean number of candies per bag using statistical notation and the total number of candies in your bag as the claimed value. Use the class data (rounded to 4 decimal places as needed) to compute the hypothesis test using GeoGebra and include an image that shows the inputs you entered and the output that resulted. State whether you should reject or fail to reject the null hypothesis using = 0.05. Write the conclusion in context.
Class data for total number of candies per bag. (I have included 57 bags here based on my two 1045 classes I'm teaching this semester).
Tip: You should highlight, copy and then paste this data in the spreadsheet in GeoGebra).
Bag number | Number of Skittles in 2.17 oz bag |
1 | 61 |
2 | 57 |
3 | 55 |
4 | 61 |
5 | 61 |
6 | 56 |
7 | 60 |
8 | 56 |
9 | 55 |
10 | 56 |
11 | 55 |
12 | 60 |
13 | 60 |
14 | 58 |
15 | 59 |
16 | 57 |
17 | 59 |
18 | 59 |
19 | 60 |
20 | 60 |
21 | 57 |
22 | 59 |
23 | 60 |
24 | 52 |
25 | 52 |
26 | 58 |
27 | 50 |
28 | 54 |
29 | 57 |
30 | 58 |
31 | 55 |
32 | 55 |
33 | 58 |
34 | 67 |
35 | 57 |
36 | 61 |
37 | 80 |
38 | 58 |
39 | 58 |
40 | 65 |
41 | 55 |
42 | 57 |
43 | 59 |
44 | 57 |
45 | 57 |
46 | 55 |
47 | 56 |
48 | 56 |
49 | 56 |
50 | 57 |
51 | 60 |
52 | 58 |
53 | 56 |
54 | 60 |
55 | 57 |
56 | 58 |
57 | 58 |
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