Question

Use the following information to answer the following four questions. Scores for an exam follow a normal distribution with a mean score of 60 points and a standard deviation of 10 points.

A. What is the probability of scoring 75 points or more on the exam? Round your answer to three decimal places.

B. A random sample of 9 people is taken. What is the probability that their mean score is 75 points or more? Round your answer to the nearest whole number.

C. A random sample of 4 people is taken. What is the probability that their mean score is 62 points or more? Round your answer to three decimal places.

D. What is the probability of scoring 62 points or more on the exam? Round your answer to three decimal places.

Answer #1

The scores on the exam public health professionals take to be
certified follows a normal distribution with a mean score of 75
points and a standard deviation of 7 points.
What is the probability someone scores between 60 and 70?
Round your answer to 4 decimal places.

A professor found that historically, the scores on the final
exam tend to follow a normal distribution. A random
sample of nine test scores from the current class had a mean score
of 187.9 points and a sample standard deviation of
32.4 points. Find the 90% confidence interval for the population
mean score of the current class.
A.
[167.81, 207.99]
B.
[ 170.13 , 205.67]
C.
[ 166.73, 209.07]
D.
None of these answers are correct.

Suppose your statistics instructor gave six examinations during
the semester. You received the following exam scores (percent
correct): 83, 78, 87, 91, 95, and 71. To compute your final course
grade, the instructor decided to randomly select two exam scores,
compute their mean, and use this score to determine your final
course grade.
a. Compute the population mean. This is your average grade based
on all of your grades. (Round your answer to 2 decimal
places.)
b. Compute the population...

Suppose your statistics instructor gave six examinations during
the semester. You received the following exam scores (percent
correct): 80, 74, 90, 93, 94, and 73. To compute your final course
grade, the instructor decided to randomly select two exam scores,
compute their mean, and use this score to determine your final
course grade.
Compute the population mean. This is your average grade based on
all of your grades. (Round your answer to 2 decimal
places.)
Compute the population standard deviation....

1. The Graduate Record Exam (GRE verbal test) has scores that
are normally distributed with a mean of 532 and a standard
deviation of 128. If one test taker is chosen at random, what is
the probability that the person's GRE verbal score is above 500?
Use Table 8.1 and leave answer in decimal form.
2. The Graduate Record Exam (GRE verbal test) has scores that
are normally distributed with a mean of 532 and a standard
deviation of 128....

A sample of final exam scores is normally distributed with a
mean equal to 28 and a variance equal to 25.
A. What percentage of scores are between 23 and 33? (Round your
answer to two decimal places.)
B. What raw score is the cutoff for the top 10% of scores?
(Round your answer to one decimal place.)
C. What is the proportion below 19? (Round your answer to four
decimal places.)
D. What is the probability of a score...

Use the information to answer the following six questions. The
mean number of friends an user of Facebook has is 338. The
distribution of number of friends is not normal and is skewed to
the right. The standard deviation is 380 friends. You plan to take
a random sample of 81 Facebook users.
A. What type of distribution do the sample means from samples of
size n=81 follow?
B. What famous theorem did you use to answer the previous
question?...

The scores on the exam public health professionals take to be
certified follows a normal distribution with a mean score of 75
points and a standard deviation of 7 points.
What is the probability someone scores 71.5 or more on the
exam?

A sample of final exam scores is normally distributed with a
mean equal to 23 and a variance equal to 16.
Part (a)
What percentage of scores are between 19 and 27? (Round your
answer to two decimal places.)
Part (b)
What raw score is the cutoff for the top 10% of scores? (Round
your answer to one decimal place.)
Part (c)
What is the proportion below 18? (Round your answer to four
decimal places.)
Part (d)
What is the...

A sample of final exam scores is normally distributed with a
mean equal to 21 and a variance equal to 16.
Part (a)
What percentage of scores are between 17 and 25? (Round your
answer to two decimal places.)
%
Part (b)
What raw score is the cutoff for the top 10% of scores? (Round
your answer to one decimal place.)
Part (c)
What is the proportion below 14? (Round your answer to four
decimal places.)
Part (d)
What is...

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