Question

In mid-term test of GIS class, class mean score is 78 and
standard deviation is 3. Suppose, Adam has mid-term score of 84.
Answer following questions:

a) What is Adam’s Z-score?

b)
FindthepercentageofstudentsthatscoredhigherandlowerthanAdam.

c) What score would Adam have to achieve to be in the top 1% of the
GIS class?

Answer #1

Suppose the grade on a Math test is normally distributed with
mean 78 and standard deviation 10. (a) Compute the z-scores (5
points) (a-1) If Bob got 70 on the test, what is his z-score? (a-2)
If Jane got 90 on the test, what is her z-score? (b) Compute the
actual grades (5 points) (b-1) Suppose David achieved a grade 1.8
standard deviation above the mean (? = 1.8), what was his actual
grade? (b-2) Suppose Lily achieved a grade...

Suppose the grade on a Math test is normally distributed with
mean 78 and standard deviation 10. (a) Compute the z-scores (5
points) (a-1) If Bob got 70 on the test, what is his z-score? (a-2)
If Jane got 90 on the test, what is her z-score? (b) Compute the
actual grades (5 points) (b-1) Suppose David achieved a grade 1.8
standard deviation above the mean (? = 1.8), what was his actual
grade? (b-2) Suppose Lily achieved a grade...

Assume I give a test with a mean score of 84 and a standard
deviation of 10. Draw a sketch of a normal distribution centered at
the mean of 84 and divide it into 5 regions based on the following
grades: The top 10% of scores receive an A The next 20% of scores
receive a B The middle 40% of scores receive a C The next 20% of
scores receive a D The bottom 10% of scores receive an...

Suppose the grade on a Math test is normally distributed with
mean 78 and standard deviation 10.
(c) Rob achieved a grade that exceeded 95% of all grades. Find
Rob’s actual grade.
(d) Suppose 32% of students did better than Mei. Find Mei’s
actual grade.
Please explain the z=score/z=table process

Raul received a score of 76 on a history test for which the
class mean was 70 with a standard deviation of 9. He received a
score of 78 on a biology test for which the class mean was 70 with
standard deviation 7. On which test did he do better relative to
the rest of the class?
biology test
history test
or the same

the mid term exam had a normal distribution with mean
70 and standard deviation 10. to get a C you have to be in the
middle 40% of the class. which two grades will define the middle
40%.

A random sample of 200 students in a statistics class revealed a
mean test score of 78. If the standard deviation of the population
was 5.5, ﬁnd the 90% conﬁdence interval for the unknown population
mean test score.

Tom's psychology test score is +1 standard deviation from the
mean in a normal distribution. The test has a mean of 60 and a
standard deviation of 6. Tom's percentile rank would be
approximately ______________.
a. 70%
b. cannot determine from the information given
c. 84%
d. 66%

Suppose the grade on a Math test is normally distributed with
mean 78 and standard deviation 10.
(c) Rob achieved a grade that exceeded 95% of all grades. Find
Rob’s actual grade.
(d) Suppose 32% of students did better than Mei. Find Mei’s
actual grade.
Please explain why z=-1.65 for C and why z=.47 for D

In Test-1 of Math-120 you scored 85, where the mean score of the
class is 70 and standard deviation = 5. On Math-150 Test-1 you
scored 88, where the mean score on that class is 76 and standard
deviation = 6. You did comparatively better on which test, Math-120
or Math-150? Show and explain your reasoning with the help of
z-score.

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