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Prob & Stats Unit One Multiple Choice
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This is the multiple choice for chapter one for semester one final. If you have Ms. McFall, this is your class.
Terms in this set (16)
School administrators collect data on students attending the school. Which of the following variables is quantitative?
a. Class (freshman, sophomore, junior, senior)
b. Grade point average
c. Whether the student is in AP classes
d. Whether the student has taken the SAT
e. None of these
b. Grade point average
We collect these data from 50 male students. Which variable is categorical?
a. Eye color
b. Head circumference
c. Hours of homework last week
d. Number of cigarettes smoked daily
e. Number of TV sets at home
a. Eye color
A reporter wishes to portray baseball players as overpaid. Which measure of center should he report as the average salary of major league players?
a. The mean
b. The median
c. Either the mean or median. It doesn't matter since they will be equal.
d. Neither the mean nor the median. Both will be much lower than the actual average salary.
e. The standard deviation should be used to show the great disparity between the astronomical salaries of the few superstars and the salaries of the rest of the players.
a. The mean
The mean salary of all female workers is $35000. The mean salary of all the male workers is $41000. What is true about the mean salary of all workers?
a. It must be $38000.
b. It must be larger than the median salary.
c. It could be any number between $35000 and $41000.
d. It must be larger than $38000.
e. It cannot be larger than $40000.
c. It could be any number between $35000 and $41000.
Which of the following statements is NOT true?
a. In a symmetric distribution, the mean and the median are equal.
b. The first quartile is equivalent to the twenty-fifth percentile.
c. In a symmetric distribution, the median is halfway between the first and third quartiles.
d. The median is always greater than the mean.
e. The range is the difference between the largest and the smallest observation in the data set.
d. The median is always greater than the mean.
The five number summary for scores on a statistics exam is 11, 35, 61, 70, 79. In all, 380 students took the test. About how many had scores between 35 and 61?
a. 26
b. 76
c. 95
d. 190
e. None of these
c. 95
What are all the values that a standard deviation can possibly take?
a. 0< or equal to s
b. 0< or equal to s< or equal to 1
c. -1< or equal to s< or equal to 1
d. s< or equal to 0
e. Any real number
a. 0< or equal to s
Which of the following summaries is changed by adding a constant to each data value?
I. the mean
II. the median
III. the standard deviation
a. I only
b. III only
c. I and II
d. I and III
e. I, II, and III
c. I and II
Suppose that a Normal model described student scores in a history class. Parker has a standardized score (z-score) of +2.5. This means Parker
a. is 2.5 points above average
b. is 2.5 standard deviations above average for the class
c. has a standard deviation of 2.5
d. has a score that is 2.5 times the average for the class
e. None of the above
b. is 2.5 standard deviations above the average for the class
Which of these variables is least likely to have a Normal distribution?
a. Annual income for all 150 employees at a local high school
b. Lengths of 50 newly hatched pythons
c. Heights of 100 white pine trees in a forest
d. Amount of soda in 60 cups filled by an automated machine at a fast-food restaurant
e. Weights of 200 of the same candy bar in a shipment to a local supermarket
a. Annual income for all 150 employees at a local high school
The distribution of the heights of students in a large class is roughly Normal. Moreover, the average height is 68 inches, and approximately 95% of the heights are between 62 and 74 inches. Thus, the standard deviation of the height distribution is approximately equal to
a. 2
b. 3
c. 6
d. 9
e. 12
b. 3
Environmental researchers have collected rain acidity data for several decades. They want to see if there is any evidence that attempts to reduce industrial pollution have produced a trend toward less acidic rainfall. They should display their data in a(n)...
a. contingency table
b. bar graph
c. boxplot
d. histogram
e. timeplot
e. timeplot
If a store runs out of advertised material during a sale, customers become upset, and the store loses not only the sale but also goodwill. From past experience, a music store finds that the mean number of CDs sold in a sale is 845, the variance is 225, and a histogram of the demand is approximately Normal. The manager is willing to accept a 2.5% chance that a CD will be sold out. About how many CDs should the manager order for an upcoming sale?
a. 1295
b. 1070
c. 935
d. 875
e. 860
d. 875
Your stats teacher tells you your test score was the 3rd quartile for the class. Which is true?
I. You got a 75% on the test.
II. You can't really tell what this means without knowing the standard deviation.
III. You can't really tell what this means unless the class distribution is nearly Normal.
a. None of these
b. I only
c. II only
d. III only
e. II and III
a. None of these
Which of the following is NOT CORRECT about a standard Normal distribution?
a. The proportion of scores that satisfy 0<Z<1.5 is 0.4332.
b. The proportion of scores that satisfy Z< -1.0 is 0.1587.
c. The proportion of scores that satisfy Z>2.0 is 0.0228.
d. The proportion of scores that satisfy Z< 1.5 is 0.9332.
e. The proportion of scores that satisfy Z> -2.5 is 0.4938.
e. The proportion of scores that satisfy Z> -2.5 is 0.4938.
The change in scales makes it hard to compare scores on the 1994 math SAT (mean 470, standard deviation 110) and the 1996 math SAT (mean 500, standard deviation 100). Jane took the SAT in 1994 and scored 500. Her sister Colleen took the SAT in 1996 and scored 520. Who did better on the exam, and how can you tell?
a. Colleen--she scored 20 points higher than Jane.
b. Colleen--her standard score is higher than Jane's.
c. Jane--her standard score is higher than Colleen's.
d. Jane--the standard deviation was bigger in 1994.
e. Can't tell from the information given.
c. Jane--her standard score is higher than Colleen's.
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