Question
In: Statistics and Probability
An MCAT is an exam that university students take if they are interested in applying to...
An MCAT is an exam that university students take if they are interested in applying to med school. A professor at the University of Guelph quotes the following: "Because only a minority of university students actually take the MCAT, the scores overestimate the ability of a typical university student. The mean MCAT score is about 508, but I think that if all students took the test, the mean score would be no more than 450". This professor gave the test to a random sample of 500 students in Ontario, and found that these students had a mean score of x = 461.
a) Is this good evidence against the claim that the mean for all students is no more than 450? For the purpose of this example, let us assume that the population standard deviation σ of MCAT scores in our Ontario population is 100.
b) would this statistically significant result be practically significant?
b) Would this statistically significant result be significant in a practical sense?
Solutions
orchestra answered 1 year agoRelated Solutions
Do students perform the same when they take an exam alone as when they take an...
Do students perform the same when they take an exam alone as
when they take an exam in a classroom setting? Eight students were
given two tests of equal difficulty. They took one test in a
solitary room and they took the other in a room filled with other
students. The results are shown below.
Exam Scores
Alone
96
76
73
71
85
87
75
86
Classroom
89
68
67
62
79
80
73
86
Assume a Normal distribution. What...
A group of 1000 students wrote an entrance exam for the University of Statistics. The mean...
A group of 1000 students wrote an entrance exam for the
University of Statistics. The mean score was 62 with a standard
deviation of 12. Assuming a Normal Distribution, answer the
following questions:
What is the probability of a student scoring above 75?
What is the probability of a student failing? (i.e. below 50)
How many students failed?
What is the minimum mark you would need to score to be in the
top 10%?
What is the minimum mark you...
A random sample of 250 students at a university finds that these students take a mean...
A random sample of 250 students at a university finds that these
students take a mean of 14.3 credit hours per quarter with a
standard deviation of 1.5 credit hours. Estimate the mean credit
hours taken by a student each quarter using a 98% confidence
interval.
A random sample of 250 students at a university finds that these students take a mean...
A random sample of 250 students at a university finds that these
students take a mean of 15.7 credit hours per quarter with a
standard deviation of 1.5 credit hours. Estimate the mean credit
hours taken by a student each quarter using a 98% confidence
interval.
A college dean is interested in the exam performance of students in a biology course. After...
A college dean is interested in the exam performance of students
in a biology course. After the final exam, students are randomly
selected from three different section of the biology course. What
can be conclude with α = 0.05? The data are below.
section 1
section 2
section 3
84
68
81
65
41
75
64
77
40
78
69
90
82
82
77
75
82
81
91
70
90
82
94
81
87
82
72
77
81
87
67...
A college dean is interested in the exam performance of students in a History course. After...
A college dean is interested in the exam performance of students
in a History course. After the final exam, students are randomly
selected from three different section of the History course. What
can be conclude with an α of 0.01? The data are below.
section 1
section 2
section 3
82
68
74
65
41
75
64
77
40
78
69
90
82
82
77
75
82
81
91
70
90
82
94
81
87
82
72
77
81
87...
A college dean is interested in the exam performance of students in a biology course. After...
A college dean is interested in the exam performance of students
in a biology course. After the final exam, students are randomly
selected from three different section of the biology course. What
can be conclude with α = 0.05? The data are below.
section 1
section 2
section 3
84
68
81
65
41
75
64
77
40
78
69
90
82
82
77
75
82
81
91
70
90
82
94
81
87
82
72
77
81
87
67...
A researcher was interested in the anxiety present in students just prior to the midterm exam....
A researcher was interested in the anxiety present in students
just prior to the midterm exam. The research used an anxiety
self-quiz to gage the student's anxiety. The score for 30 students
are: 69,61,84,99.66.86.91.94,54,66,77,48,
70,70,86,98.56,43,70,88,78,53,85, 40,86,79,58,40,89,70. 1.
Construct a frequency table with class, frequency, relative percent
and cumulative percent that has 6 classes to describe the
distribution of the data. 2. Use the frequency table to construct a
histogram. 3. Calculate the numerical descriptive statistics mean,
median, standard deviation, and...
A college dean is interested in the exam performance of students in a biology course. After...
A college dean is interested in the exam performance of students
in a biology course. After the final exam, students are randomly
selected from three different section of the biology course. What
can be conclude with an α of 0.05? The data are below.
section 1
section 2
section 3
74
68
74
65
41
75
64
77
40
78
69
90
82
82
77
75
82
81
91
70
90
82
94
81
87
82
72
77
81
87...
A group students take a Statistics Exam where the average was M = 77 and the...
A
group students take a Statistics Exam where the average was M = 77
and the standard deviation was SD=4. If a student scored a 70 on
the exam, what percentage of students scored ABOVE her?
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