Research has shown that math grades and math anxiety scores are correlated. Would you expect the correlation to be positive or negative? Explain.
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Q. 2The incomes of scientists working for Global Research are normally distributed with a mean of 38,500 and a standard deviation of 5,250.
a. What percentage of the scientists earn more than 46,375?
b. What is the probability that a particular scientist earns between 29,575 and 47,425.
Q. 3Suppose that a normal random variable x has a mean = -4.6 and a standard deviation = 1.3. Find the z score corresponding to
a. x = -8.175
b. x = -2
c. x = -4.99
Q. 4How would you interpret the findings of a correlation study that reported r = 0.04?
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Q. 5How would you interpret the findings of a correlation study that reported r = -1.89?
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Q. 6Suppose that a normal random variable x has a mean = 15.0 and a standard deviation = 3.5. Find the z score corresponding to
a. x = 26.2.
b. x = 19.9.
c. x = 12.69.
Q. 7The number of goals scored by a sample of 16 hockey players from the National Hockey League for a given season are 5, 3, 21, 10, 7, 2, 0, 30, 19, 6, 4, 7, 10, 5, 7, and 24.
Find the mean, median, and mode.
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Q. 8Consider a standard normal random variable z.
a. Find P(0 z 1.28).
b. Find P(-.11 z 2.54).
c. Find P(z -1.83).
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Q. 9In a sample of 18 students at East High School the following number of days of absences were recorded for the previous semester: 4, 3, 1, 0, 4, 2, 3, 0, 1, 2, 3, 0, 4, 1, 1, 5, 1, 1.
Find the mean, median, and mode.
What will be an ideal response?
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