This cannot be determined from the information given

This cannot be determined from the information given.
Question
5
1 / 1 point
Which of the following results implies that the spread in
x ¯
x¯ {"version":"1.1","math":"\bar x"} decreases
as the sample size increases?
Question options:
The normal distribution.
The 68-95-99.7% Rule.
The Central Limit Theorem.
The Law of Large Numbers.
Information
Use the following information to answer the next 4 questions.
Scores on the quantitative portion of the GRE are approximately normally distributed with mean
μ =150.8
μ=150.8 {"version":"1.1","math":"\mu = 150.8 "} and standard deviation
σ =8.8
σ=8.8
{"version":"1.1","math":"\sigma = 8.8"} . (1)
(1) Source: ets:GRE

Question 6 1 / 1 point
Dianne earned a score of 160 on the quantitative portion of the GRE. What is the z-score corresponding
to Dianne’s score? (Round your answer to 3 decimal places. Example: If the answer is 0.8976 then you
would enter 0.898 in the answer box.)
Answer:
1.045
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z = (x - μ)/σ= (160 - 150.8)/8.8 = 1.04545
Question 7 1 / 1 point
What is the probability that a randomly selected student will score above 160 on the quantitative portion of
the GRE? (Round your answer to 3 decimal places. Example: If the answer is 0.8976 then you would
enter 0.898 in the answer box.)
Answer:
0.148
Question
8
1 / 1
point
A random sample of 5 students was selected to take the GRE. Their scores are:
160, 175, 163, 149, 153
What is the z-score corresponding to the sample mean of these students’ scores? (Round your answer to
3 decimal places. Example: If the answer is 0.8976 then you would enter 0.898 in the answer box.)
Answer:
2.338
Question
9
1 / 1
point
What is the probability that five randomly selected students will have a mean score that is greater than the
mean achieved by the students in the previous problem? (Round your answer to 4 decimal places.