Calculate the mean, median, and standard deviation for the total number of candies (per bag). Construct a histogram of the total number of candies (per bag). Use the z-score method to identify any...

Calculate the mean, median, and standard deviation for the total number of candies (per bag).

Construct a histogram of the total number of candies (per bag).

Use the z-score method to identify any potential outliers and outliers.

Assume the total number of candies is normally distributed, calculate the probability that a randomly sampled bag has at least 55 candies in a bag.

If a random sample of 50 bags is selected, find the probability that the mean number of candies in a bag is at least 56 candies.Assume the total number of candies is normally distributed.

Assume the total number of candies is normally distributed, find a 95% confidence interval for the mean total number of candies.

Construct a probability distribution for the colors of the M&M^®candies sample:

ColorProbability

Blue

Orange

Green

Yellow

Red

Brown

Mars Inc. indicates that the M&M^®colors are distributed as follows:

ColorProportion

Blue24%

Orange20%

Green16%

Yellow14%

Red13%

Brown13%

Conduct a hypothesis test (α=0.05) to see if the proportion ofblueis the same as the company states.Specify the hypothesis of the test, critical value, test statistic,p-value, decision (reject the null/ fail to reject the null), and the conclusion of what the decision means.

9. At the 0.01 level of significance, test if the true mean total number of candies (per bag) is greater than 54.Specify the hypotheses of the test, critical value, test statistic,p-value, decision (reject the null/ fail to reject the null), and the conclusion of what the decision means.

Bag	Blue	Orange	Green	Yellow	Red	Brown	Total Number of Candies
1	7	23	9	11	4	6	60
2	16	16	4	7	9	4	56
3	14	14	3	10	5	11	57
4	13	14	7	8	8	6	56
5	18	12	7	10	5	7	59
6	12	9	11	9	8	8	57
7	15	16	6	6	6	8	57
8	15	17	8	4	6	7	57
9	12	14	10	5	10	7	58
10	16	16	7	5	6	2	52
11	18	10	6	9	9	3	55
12	21	12	7	6	6	4	56
13	18	12	9	5	7	2	53
14	18	10	7	5	8	5	53
15	18	16	7	4	7	4	56
16	19	6	7	4	8	11	55
17	15	15	7	6	9	3	55
18	21	10	7	9	6	4	57
19	20	8	5	4	13	6	56
20	15	15	7	2	8	10	57
21	13	11	11	3	15	5	58
22	14	12	7	11	8	3	55
23	11	15	6	10	7	6	55
24	12	16	7	8	7	7	57
25	15	16	6	5	8	6	56
26	15	10	8	6	12	7	58
27	20	14	5	4	5	8	56
28	18	13	11	6	6	5	59
29	12	13	11	4	9	8	57
30	8	16	10	8	7	8	57
31	15	10	9	9	6	5	54
32	22	8	5	8	4	10	57
33	14	12	5	11	9	5	56
34	11	16	10	3	7	9	56
35	13	17	5	3	12	4	54
36	10	20	6	2	8	7	53
37	10	12	10	6	11	6	55
38	15	11	4	4	8	11	53
39	14	16	3	7	8	7	55
40	14	10	8	6	12	5	55
41	16	17	10	5	5	3	56
42	19	15	5	5	5	7	56
43	13	14	6	5	7	10	55
44	17	16	4	7	7	10	61
45	13	12	11	4	10	6	56
46	19	13	4	5	9	4	54
47	17	15	6	8	7	4	57
48	11	12	6	6	7	9	51
49	19	12	5	2	7	12	57
50	11	15	7	3	10	1	47
51	15	13	5	8	8	9	58
52	15	17	4	3	10	10	59
53	15	16	4	3	5	11	54
54	16	12	7	6	8	9	58
55	13	17	8	4	9	6	57
56	18	20	4	3	5	5	55
57	14	18	5	7	8	6	58
58	12	16	7	5	5	9	54
59	10	13	7	10	7	8	55
60	16	14	6	10	7	4	57
61	8	21	3	5	10	9	56
62	17	17	7	4	9	3	57
63	7	16	8	7	10	8	56
64	15	20	2	3	6	10	56
65	14	19	5	5	5	9	57
66	15	11	8	6	10	5	55
67	14	13	9	9	4	2	51
68	15	15	5	7	8	5	55
69	16	15	5	8	4	8	56
70	16	7	7	10	10	6	56
71	13	16	10	8	2	6	55
72	11	11	5	10	8	9	54

Dec 10, 2021

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Calculate the mean, median, and standard deviation for the total number of candies (per bag). Construct a histogram of the total number of candies (per bag). Use the z-score method to identify any...

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