Minitab Assignment 7 - Prince allotoy PDF

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Prince allotoy...

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Iacobbo 1 Lea Iacobbo Daniel Kpormegbey STATS 1000Q, SEC029D 13 November 2020 Minitab Assignment 7 1. Row 2 calculation (92.506 + 103.512)/2 = 98.009, correct. Statistics Variable

N

Median norn=2 300

0

N*

Mean SE Mean

Q3

Maximum

100.15 0.410 7.10

StDev Minimum

Q1

80.08 95.39 99.85 105.10 124.99

a. The mean of C3 is only .15 off from the mean of the original population, 100 vs 100.15, it is fairly equal to the original mean. b. �/√n = 7.071, StDev 7.10, fairly equal. Yes the two numbers are close. c. (GRAPHS BELOW) The graph of the population data looks more normal, being that its center is 97.5 while the center of the sample means n=2 graph is about 100. While the population data represents a normal distribution, by the central limit theorem, the graph of the standard deviations should as well, and it is fairly close to the normal distribution from the population data. But with higher frequency. Population data has a greater range, its spread is wider than that of the standard deviations graph.

Iacobbo 2

2.

Iacobbo 3 Row 2 calculations: (92.655 + 119.430)/2 = 106.043 correct. a.

Descriptive Statistics: Unin=2 Statistics Variable

N

N*

Mean SeMean StDev

Minimum

Q1

Unin=2

300

0

101.08 0.721 12.50 73.06 91.93 101.48 110.34

127.96 Mean = 101.08, stdev= 12.50 The mean of C3 is 1.08 greater than the mean of the original population. Fairly close. b. � /√n = 12.23, these numbers are extremely close, only .27 off. c.

Iacobbo 4

The sample means n=2 has a much more normal distribution than the population data. The shape of the population data is a rectangle mold, while the second graph has a more normal bell mound shape. The population data has a uniform distribution while the sample mean data has a normal distribution. The center of each distribution is roughly the same, although the ends of the first graph are much higher than the ends of the second. 3. Statistics Variable

N

Median unin=30

300

N*

Mean SE Mean

Q3

Maximum

0

100.03 0.110 1.91

StDev Minimum

Q1

94.87 98.72 99.97 101.42 105.80

mean= 100.03, very close to mean of the original population, only .03 away. Stdev=1.91, � /√n = 3.15 very close to original standard deviation of C31, but still almost double its

Iacobbo 5 value.

C. The range of the population data is much larger than the range of the sample mean. The sample mean has a normal mound shaped, symmetrical distribution while the

Iacobbo 6 population data has a more dispersed mound shape with a much lower peak. The both have similar centers. 4. mean= 1530, standard deviation = 21.9, P(X1500)=.9145, so the probability that the bookstore breaks even in a given month is .9145. Normal with mean = 1530 and standard deviation = 21.9 x

P( X ≤ x )

1500 0.0853648 5. mean= 62, standard deviation = .7071, P(X66)=0 The probability that the average speed of the sample is 66 mph or more, is 0. So it is very unlikely that one will get a sample average of 66mph or more. Based on this probability, the police are not justified in their concern because the probability of someone driving over 66 mph is 0, so it is not even possible and the police should not be concerned. Normal with mean = 62 and standard deviation = 0.707107 x

P( X ≤ x )

66

1.00000...