5. Test scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean of 69 with a standard deviation of 3.7. Suppose a student gets 81 on the statistics test and a 71 on the calculus test. Which score was higher with relative to its respective standard deviation? Explain your answer using the normal curve below. 99.9% 99.7% 95. 5% 68% 0.13% 2.14 % 13,59% 34.13% 34.13% 13.59% 2.14% 0.13% -4a -30 -2a -la +la +20 +30 +4a Statistics: 79 Calculus: 69

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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5. Test scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores
for a calculus class had a mean of 69 with a standard deviation of 3.7. Suppose a student gets
81 on the statistics test and a 71 on the calculus test. Which score was higher with relative to
its respective standard deviation? Explain your answer using the normal curve below.
99.9%
99.7%
95.5%
68%
0.13% 2.14%
13.59%
34.13%
34.13% 13.59%
2.14% 0.13%
-4a
-30
-20
-la
+lo
+20
+30
+4a
Statistics:
79
Calculus:
69
6. A student scores 56 on a geography test and 285 on a mathematics test. The geography test
has a mean of 80 and a standard deviation of 20. The mathematics test has a mean of 300 and a
standard deviation of 10. Which score was lower with relative to its respective standard
deviation? Explain your answer using the normal curve below.
99.9%
99.7%
95.5%
68%
0.13% 2.14%
13.59%
34.13% 13.59%
34.13%
2.14% ! 0.13%
-40
-30
-20
-lo
+10
+20
+30
+4a
Math:
285
-
-
Geography:
80
-
Transcribed Image Text:5. Test scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean of 69 with a standard deviation of 3.7. Suppose a student gets 81 on the statistics test and a 71 on the calculus test. Which score was higher with relative to its respective standard deviation? Explain your answer using the normal curve below. 99.9% 99.7% 95.5% 68% 0.13% 2.14% 13.59% 34.13% 34.13% 13.59% 2.14% 0.13% -4a -30 -20 -la +lo +20 +30 +4a Statistics: 79 Calculus: 69 6. A student scores 56 on a geography test and 285 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 20. The mathematics test has a mean of 300 and a standard deviation of 10. Which score was lower with relative to its respective standard deviation? Explain your answer using the normal curve below. 99.9% 99.7% 95.5% 68% 0.13% 2.14% 13.59% 34.13% 13.59% 34.13% 2.14% ! 0.13% -40 -30 -20 -lo +10 +20 +30 +4a Math: 285 - - Geography: 80 -
Using Empirical Rule
3.A study was designed to investigate the effects of two variables - (1) a student's level of
mathematical anxiety and (2) teaching method - on a student's achievement in a mathematics
course. Students who had a low level of mathematical anxiety were taught using the
traditional expository method. These students obtained a mean score of 460 with a standard
deviation of 40 on a standardized test. Assuming a bell-shaped distribution...
a) What two scores would approximately 68% of the scores fall between?
b) Approximately 99.7% of the scores fall between fall between what scores?
c) What percentage of scores fall between 380 and 540?
99.9%
99.7%
95.5%
68%
0.13% 2.14%
13.59%
34.13%
34.13% 13.59%
2.14% ! 0.13%
-40
-30
-20
-lo
+lo
+20
+30
+40
Scores:
460
4. The scores from a state standardized test have a bell-shaped distribution with a mean of
100 and a standard deviation of 15. Use the Empirical Rule to find the following.
a) What percentage of students have scores between 70 and 130?
b) What percentage of students have scores between 55 and 115?
c) What two scores does approximately 99.9% of the fall between?
99.9%
99.7%
95.5%
68%
0.13% 2.14%
13.59%
34.13%
34.13% 13.59%
2.14%
0.13%
-40
-30
-20
-lo
+1o
+20
+30
+40
Scores:
100
Transcribed Image Text:Using Empirical Rule 3.A study was designed to investigate the effects of two variables - (1) a student's level of mathematical anxiety and (2) teaching method - on a student's achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 460 with a standard deviation of 40 on a standardized test. Assuming a bell-shaped distribution... a) What two scores would approximately 68% of the scores fall between? b) Approximately 99.7% of the scores fall between fall between what scores? c) What percentage of scores fall between 380 and 540? 99.9% 99.7% 95.5% 68% 0.13% 2.14% 13.59% 34.13% 34.13% 13.59% 2.14% ! 0.13% -40 -30 -20 -lo +lo +20 +30 +40 Scores: 460 4. The scores from a state standardized test have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use the Empirical Rule to find the following. a) What percentage of students have scores between 70 and 130? b) What percentage of students have scores between 55 and 115? c) What two scores does approximately 99.9% of the fall between? 99.9% 99.7% 95.5% 68% 0.13% 2.14% 13.59% 34.13% 34.13% 13.59% 2.14% 0.13% -40 -30 -20 -lo +1o +20 +30 +40 Scores: 100
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