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WorksheetsUNIT TEST 2 - SP11
Total questions: 10
Worksheet time: 20mins
Who is credited with the development of the Normal Distribution?
Carl Fridriech Gauss
Carl Friedriech Gauss
Carl Fredrich Gauss
Carl Friedrich Gauss
What is the formula to get 2 standard deviations below the mean?
σ-2μ
2σ-μ
-2σ+μ
-2σ-μ
Using the empirical rule, how many probabilities are there outside of three standard deviations from the mean?
0.3%
4.6%
0.03%
1.3%
Arrange the process on how to get the area whether on the left or right of the given z-score.
I. Identify the region under the normal curve by drawing a vertical line through the given 𝑍 value.
II. Sketch the standard normal distribution.
III. Shade the required region.
IV. Use the 𝑍 table to determine the area associated with the given 𝑍 value.
I, II, III, IV
II, III, I, IV
II, I, III, IV
IV, I, II, III
Which of the following statements is true regarding the probability density function (PDF)?
It can take on negative values.
It directly gives the probability of a random variable.
The total area under the PDF curve is always equal to 1.
It is only applicable to discrete random variables.
A researcher is examining the scores of students on a difficult exam. If the distribution of scores is negatively skewed, what does this indicate about the performance of the students?
Most students performed better than average on the exam.
Most students performed worse than average on the exam.
The performance of students is consistent across all score ranges.
The scores are evenly distributed across all students.
If a student scores in the 75th percentile on a standardized test, what does this mean?
The student answered 75% of the questions correctly.
The student's score is lower than 75% of the other students who took the test.
The student's score is higher than 75% of the other students who took the test.
The student's score is exactly at the 75th mark.
Find the area under the standard normal curve on the right of 2.20
98.61%
1.39%
10.39%
1.36%
Find the area between z=-2.55 and z=2.27.
9.83%
98.30%
-98.30%
99.38%
Assume that a set of test scores is normally distributed with a mean of 82 and a standard deviation of 8. Compute the three standard deviations below the mean.
106
90
74
58
