μ = 84 σ = 5.1 n = 42 Questions: i. You scored a 91, what percentage of the students did you score higher than and what is your z-score? ii. What is the score range of 68% of the class? iii. How many students (round up) scored less than 70% on the exam? iv. How many students (round up) earned an A (90%+)? v. How many students scored a B (> 80% and < 90%)?
i)

ii)
68% is one standard dev away
[84-5.1,84+5.1] = [78.9,89.1]
iii)
70 percentile is 0.534
iv)
0.003*42 = 0.126
v)
0.6639
A new exam was written to be used as an entrance exam. You took the exam and your score report said that you got a score of 633 points out of 800 possible and that the mean and standard deviation for all test takers is μ = 400 and σ = 100 and the distribution is normal. What percentage of students taking the test scored higher than you did? The department decides to accept all the students who score in...
Please show work so that I can see the process also Let’s say you scored a 111 on exam 1 and you scored an 125 on exam 2. You can predict your final exam score with the following prediction equation: Y’ = bX + c (round to nearest whole number). X is the total number of points you earned on the first two tests. Given: Mean = 120; standard deviation of y = 100. The correlation (r) between the total...
Scores on Professor Combs Statistics Final Exams have a long term history of being normally distributed with a mean of μ=70 and a standard deviation of σ=8 a.) Find the probability that a single student will score above a 75 on the Final exam. b.) Find the probability that a single student will score between a 65 and 75 on the Final exam. c.) Find the probability that an entire class of 20 students will have a class average above a 75 on...
Problem #1: Consider the below matrix A, which you can copy and paste directly into Matlab. The matrix contains 3 columns. The first column consists of Test #1 marks, the second column is Test # 2 marks, and the third column is final exam marks for a large linear algebra course. Each row represents a particular student.A = [36 45 75 81 59 73 77 73 73 65 72 78 65 55 83 73 57 78 84 31 60 83...
89
67
84
74
58
51
63
68
84
65
57
76
58
75
72
67
64
74
95
53
77
86
90
80
70
67
76
62
91
70
63
78
49
61
77
57
83
67
107
67
80
73
94
80
73
74
67
72
68
79
73
121
63
77
70
61
75
66
79
54
76
86
84
72
65
75
63
91
72
64
99
81
58
70
58
58
90
66
64
80...
A distribution table for the scores on an exam is shown belaw. The second row says that 1D% of the students scored between 60 and 70. Fill in the blanks in the height column. Do not include units Points (width)90 (Area)|Heights Area/Width (% 0-60 0.2500 60-70 70-80 25 5000 80-90 30 Computer's answer now shown abave. You are correct. Your receipt no. is 153-3031 What is the median scare? 80 60 50 90 70 Submit Answer Is the average (greater...
To estimate the mean height μ of male students on your campus, you will measure an SRS of students. You know from government data that the standard deviation of the heights of young men is about σ = 2.8 inches. You want your sample mean x to estimate μ with an error of no more than one-half inch in either direction. What standard deviation must x have so that 99.7% of all samples give an x within one-half inch of...
To estimate the mean height μ of male students on your campus, you will measure an SRS of students. You know from government data that the standard deviation of the heights of young men is about σ = 2.7 inches. You want your sample mean x to estimate μ with an error of no more than one-half inch in either direction. What standard deviation must x have so that 99.7% of all samples give an x within one-half inch of...
1) A population of values has a distribution with μ=6μ=6 and σ=23.1σ=23.1. You intend to draw a random sample of size n=90n=90. According to the Central Limit Theorem: (a) What is the mean of the distribution of sample means? μ¯x=μx¯= (b) What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) σ¯x=σx¯= (c) In a random sample of n=90, what is the probability that its sample mean is more than 4.2? Round...
xa3 led that their annual incomes from employment n industry during the day were normally distributed a standard deviation of $3,000. 14).A sample of 500 evening students revea with a mean income of $30,000 and 5-000 (i) 250 students earned more than $30,000 (ii) 314 students earned between $27,000 and $33,000. (iii) 239 students earned between $24,000 and $30,000. A) and(i) are correct statements but not (ii). (i) and (iii) are correct statements but not (ii). ) and (iii) are...