MAT 274 Grand Canyon University Probability and Statistics Problems

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funuenz13

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Mathematics

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MAT 274

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Grand Canyon University

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MAT

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DQ 1: Use the sample from Topic 2 DQ 1 and test that the population mean for rolling a single die is 3.5.

DQ 2: Explain the difference between statistical significance and practical significance.

I load the paper that include the solution of DQ 1 part A and I need the solution of DQ 1 part B. Please read the paper then answer the DQ 1 .

Thanks,

Shahram

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Topic 5 DQ 1 & 2 This paper has 2 question, DQ 1 and DQ 2. DQ 1 has two part and I need solution for part B. And answer the DQ 2, please. DQ 1: This question is about two part. Part A and Part B. I solve part A and please solve part B. Part A: Roll a single die 50 times and record the results. Now use that data set to compute the mean, median, mode, variance, and standard deviation of the set. Part B: Then Calculate the 95% confidence interval for the mean. Part A: Roll a single die 50 times and record the results. Now use that data set to compute the mean, median, mode, variance, and standard deviation of the set. The results of rolling: 1, 3, 2, 2, 5, 4, 4, 2, 5, 5, 2, 1, 4, 6, 6, 2, 2, 3, 1, 1, 2, 2, 4, 6, 6, 2, 3, 1, 1, 1, 2, 3, 1, 5, 4, 4, 3, 6, 6, 1, 1, 1, 3, 4, 1, 1, 6, 3, 6, 4. There are 13 1’s, 10 2’s, 7 3’s, 8 4’s, 4 5’s, 8 6’s. The mean is the arithmetic mean, the sum divided by the number of rolls (50). The sum is 13 ∙ 1 + 10 ∙ 2 + 7 ∙ 3 + 8 ∙ 4 + 4 ∙ 5 + 8 ∙ 6 = 13 + 20 + 21 + 32 + 20 + 48 = = 34 + 40 + 80 = 154, so the mean is 154 50 308 = 100 = 3.08. The median is the center number in sorted list (average between two most centered numbers for an even quantity of numbers). Here the sorted list is 11111111111112222222222333333344444444555566666666. Remove 12 items from the left and from the right: 12222222222333333344444444. Then remove 8 more items: 2223333333. Topic 5 DQ 1 & 2 Now we see that both center numbers are 3’s, so the median is 3. The mode is the number which occurs most often, here it is 1. The variance is the arithmetic mean of squared differences between all outcomes and their mean, i.e. 1 (13 ∙ (1 − 3.08)2 + 10 ∙ (2 − 3.08)2 + 7 ∙ (3 − 3.08)2 + +8 ∙ (4 − 3.08)2 + 4 50 ∙ (5 − 3.08)2 + 8 ∙ (6 − 3.08)2 ) = = 1 (13 ∙ 4.3264 + 10 ∙ 1.1664 + 7 ∙ 0.0064 + 8 ∙ 0.8464 + 4 ∙ 3.6864 + 8 50 ∙ 8.5264) == 1 ∙ 157.68 = 3.1536. 50 The standard deviation is the square root of the variance, here it is √3.1536 ≈ 1.7758. Part B: Use the sample from Topic 2 DQ 1 and test that the population mean for rolling a single die is 3.5. Topic 5 DQ 1 & 2 DQ 2: Explain the difference between statistical significance and practical significance. (1 example and 1 reference)
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Explanation & Answer

Attached.

Topic 5 DQ 1 & 2

This paper has 2 question, DQ 1 and DQ 2. DQ 1 has two part and I need solution for part B.
And answer the DQ 2, please.
DQ 1: This question is about two part. Part A and Part B. I solve part A and please solve part B.
Part A: Roll a single die 50 times and record the results. Now use that data set to compute
the mean, median, mode, variance, and standard deviation of the set.
Part B: Then Calculate the 95% confidence interval for the mean.
Part A: Roll a single die 50 times and record the results. Now use that data set to compute the
mean, median, mode, variance, and standard deviation of the set.

The results of rolling: 1, 3, 2, 2, 5, 4, 4, 2, 5, 5, 2, 1, 4, 6, 6, 2, 2, 3, 1, 1, 2, 2, 4, 6, 6, 2, 3, 1, 1, 1,
2, 3, 1, 5, 4, 4, 3, 6, 6, 1, 1, 1, 3, 4, 1, 1, 6, 3, 6, 4.
There are...