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We will be constructing confidence intervals for the proportion of each color as well as the...

We will be constructing confidence intervals for the proportion of each color as well as the mean number of candies per bag. You will use the methods of 9.1 for the proportions and 9.2 for the mean. Remember that you can use Excel (or your calculator) to do many of the preliminary calculations

1). Construct a 95% Confidence Interval for the mean total number of candies (large samples).

(2). Construct a 95% Confidence Interval for the proportion of blue M&Ms® candies.

(3). Construct a 95% Confidence Interval for the proportion of orange M&Ms® candies.

(4). Construct a 95% Confidence Interval for the proportion of green M&Ms® candies.

Blue Orange Green Yellow Red Brown Total Number of Candies in Bag
6 17 10 8 10 7 58
8 8 11 12 9 10 58
8 13 14 4 12 7 58
7 13 10 7 14 7 58
12 13 4 13 5 10 57
13 8 12 13 1 10 57
8 8 14 7 9 11 57
16 10 10 5 11 4 56
11 11 8 13 6 7 56
10 9 14 10 9 4 56
6 12 13 8 9 8 56
14 10 2 13 7 10 56
11 10 11 12 5 7 56
14 11 8 6 7 10 56
14 8 9 5 5 15 56
11 12 10 12 7 3 55
12 9 12 8 5 9 55
7 12 10 7 10 9 55
8 9 13 11 10 4 55
10 11 9 10 6 9 55
10 10 9 10 7 9 55
9 3 9 13 8 13 55
10 8 13 10 9 5 55
11 6 11 7 8 12 55
12 13 10 11 5 3 54
12 8 5 15 8 6 54
12 8 5 15 8 6 54
14 14 9 4 6 7 54
13 7 12 9 4 9 54
13 10 11 8 5 6 53
7 11 10 9 7 9 53
9 14 8 6 6 10 53
12 10 8 7 9 6 52
10 7 11 7 8 8 51
11 3 12 8 7 10 51
8 10 12 6 7 6 49
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