Example of normal distribution, Mathematics

Assignment Help:

The mathematics results of 20 first-year university students are given, together with their results of their performances in the year 12 semester Test and Final Assignment:

Year 12

Year 12

First Year University

Assignment Result

Final Test Result

Mathematics Results

54

54

57

66

62

61

62

65

73

58

64

74

67

67

82

58

68

80

66

68

78

68

68

74

57

68

63

63

69

75

72

70

92

69

71

90

67

73

73

72

75

82

77

74

90

75

73

91

61

72

93

68

77

94

73

82

100

97

83

82


a) Which of the two Year 12 Assessment items are more closely related to performance in Mathematics at First Year University? Justify your answer briefly.

b) Standardise and combine the two Year 12 results and find the z- scores for this total for each student. How closely does these totalled scores relate to University performance? Is it better or worse than the individual item results? Justify your answer briefly.

c) Which of the four sets of data (forth set of data, is the answer of b) used most closely fits a normal distribution? Justify your answer briefly.

d) From the set selected in (c), use your information to determine between what scores you would expect to find 70% of the distribution. (Show full working, each step).

From the same set, between what scores would you find a spread of 1.5 standard deviations?


Related Discussions:- Example of normal distribution

Example of probability, Example of Probability: Example: By using...

Example of Probability: Example: By using a die, what is the probability of rolling two 3s in a row? Solution: From the previous example, there is a 1/6 chance of

Integrate even or odd function, Integrate following. ∫ -2   2 4x 4 - ...

Integrate following. ∫ -2   2 4x 4 - x 2   + 1dx Solution In this case the integrand is even & the interval is accurate so, ∫ -2   2 4x 4 - x 2   + 1dx = 2∫ o

Calculate time interval, From top of a tower a stone is thrown up and it re...

From top of a tower a stone is thrown up and it reaches the ground in time t1. A second stone is thrown down with the same speed and it reaches the ground in t2. A third stone is r

The low temperature in Achorage, The low temperature in Anchorage, Alaska t...

The low temperature in Anchorage, Alaska today was negative four degrees. The low temperature in Los Angeles, California was sixty-three degreees. What is the difference in the two

Wit tester., two fathers and two sons went fishing . they caught only 3 fis...

two fathers and two sons went fishing . they caught only 3 fish and divided them equally among themselves without cutting. is it possible? how?

Mr, i needed help with algebra

i needed help with algebra

SHARES AND DIVIDEND, PLEASE PROVIDE SOME STUFF TO WRITE ON SHARES AND DIVID...

PLEASE PROVIDE SOME STUFF TO WRITE ON SHARES AND DIVIDEND

Trigonometry, If a+b+c = 3a , then cotB/2 cotC/2 is equal to

If a+b+c = 3a , then cotB/2 cotC/2 is equal to

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd