Midterm_score 65 50 75 70 68 58 49 92 68 93 38 92 59 66 61 71 68 82 85 67 The ta
ID: 2952704 • Letter: M
Question
Midterm_score
65
50
75
70
68
58
49
92
68
93
38
92
59
66
61
71
68
82
85
67
The table is arandom sample midterm exam score from 20students.
a) Find the standard error ofestimating population mean with sample mean.
c) Based on these sample data, if thestandard deviation of all students’ mid-term score is 1, whatis the confidence interval for mean mid-term score which we are 90%confident with?
d) If we have no information onvariance of all students’ midterm score, what is the lowerconfidence bound for mean mid-term score that we are 99% confidentwith?
Midterm_score
65
50
75
70
68
58
49
92
68
93
38
92
59
66
61
71
Explanation / Answer
1) and 2)
Descriptive Statistics: Midterm_score
Variable N Mean SE Mean StDev Minimum Q1 Median Q3
Midterm_score 20 68.85 3.30 14.76 38.00 59.50 68.00 80.25
Variable Maximum
Midterm_score 93.00
4)
One-Sample T: Midterm_score
Variable N Mean StDev SEMean 99% CI
Midterm_score 20 68.8500 14.7587 3.3001 (59.4085, 78.2915)