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I attached the answers of A and B please do the rest y is conducted to estimate

ID: 3047246 • Letter: I

Question

I attached the answers of A and B please do the rest
y is conducted to estimate the average A parking stud parking space occupancy time period in a parking lot in a hypothetical city. The observed occupancy period in minutes for all parking spots in the lot (i.e., the population observations) are given in the table below (80 parking slot). 77 98 66 98 67 81 65 44 48 69 78 59 A) Compute the average and standard deviation of parking period for all parking spots in the lot. Hint: They represent the mean and the standard deviation of the entire population]. B) Pick 30 samples from these observations (the population) such that each sample includes three observations. c Pick 30 random samples from these observations (the population) such that each sample includes fifteen observations. D) Compare the sampling methodologies used in (B) and (C) by computing the following for both cases: Frequency distribution of the sampled parking period The mean of the sample distribution The variance of the sample distribution E) Which of the two sampling methodologies better population's mean and standard estimate the deviation?

Explanation / Answer

Standard Deviation of the entire population = 27.63

Period          Frequency

36.0000      1

43.3333      1

46.0000     1

48.0000      1

49.3333      1

50.3333      1

52.6667      2

53.6667      1

56.3333      1

57.6667      1

59.0000      1

60.3333      1

61.0000      1

62.0000      1

63.3333      1

64.6667      1

65.0000      1

67.0000      1

68.0000      1

69.0000      1

69.6667      1

72.0000      1

73.3333      1

75.0000      1

77.3333      1

82.6667      1

83.6667      1

89.0000      1

94.0000      1

Also mean of sample distribution is = 63.4

Variance of sample distribution is = 189.3211

Period    Frequency

49.8667      1

50.5333      1

52.2667      1

53.3333      1

53.8667      1

54.6667      1

55.0667      1

55.7333      2

56.6000      1

56.8000      1

57.0667      1

57.8000      1

57.8667      1

59.1333      1

59.6667      1

60.0667      1

60.6000      1

61.1333      1

61.6667      1

61.8000      1

62.9333      1

63.4000      1

63.5333      1

64.0667      1

65.2667      1

66.3333      1

66.6667      1

69.0000      1

69.4667      1

Also mean of sample distribution is = 59.39778

Variance of sample distribution is = 27.34145

Period          Frequency

36.0000      1

43.3333      1

46.0000     1

48.0000      1

49.3333      1

50.3333      1

52.6667      2

53.6667      1

56.3333      1

57.6667      1

59.0000      1

60.3333      1

61.0000      1

62.0000      1

63.3333      1

64.6667      1

65.0000      1

67.0000      1

68.0000      1

69.0000      1

69.6667      1

72.0000      1

73.3333      1

75.0000      1

77.3333      1

82.6667      1

83.6667      1

89.0000      1

94.0000      1

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