Statistics (OFFICIAL) Flashcards
When computing the variance of a sample, the sum of the squared deviations, E (x-x)z,
is divided by?
A. The population size B. The sample size minus one C. The sample size D. The population size minus one E. None of the above
B. The sample size minus one
A company wants to graphically summarize in one chart the number of employees it
has in each of its five decisions. What type of chart would be appropriate for this
purpose?
A. Line chart B. Box plot C. Scatter diagram D. Bar chart E. None of the above
D. Bar chart
A manufacturer claims to have built a home stereo speaker that is 4 feet tall but uses an
average of only 30 watts of power. A sample of 40 speakers from the manufacturer
found that they used an average of 32 watts of power. The appropriate hypotheses to test
the manufacturer’s claim are?
A. Ho: M=30 versus HA:M=not equal30 B. Ho: M=32 versus HA: M=not equal32 C. Ho: M=30 versus HA:M=32 D. Ho: M=30 versus HA:M>30 E. None of the above
D. Ho: M=30 versus HA:M>30
If the alternative hypothesis states that the population mean is not equal to 3500, the
rejection region will consist of?
A. One region in the left tail (below 3500)
B. One region in the right tail (above 3500)
C. Two regions, one in the right tail and one in the left tail.
D. One region, centered about 3500.
E. None of the above.
C. Two regions, one in the right tail and one in the left tail.
A 98% confidence interval for a population proportion is determined to be 0.756 to
0.834. If the confidence level is reduced to 95%, the same data will produce an interval
that?
A. Is wider
B. Is narrower
C. Is the same
D. You cannot answer the questions without knowing the sample size.
E. None of the above.
B. Is narrower
If the correlation coefficient, r, is equal to one? R=1
A. The y-intercept must be equal to zero
B. The regression line goes through all the points and has a negative slope.
C. The standard error of the estimate, Sz is zero.
D. The slope of the regression line is one.
E. None of the above.
C. The standard error of the estimate, Sz is zero.
- The expected value of a random variable is also?
A. The median. B. The mode C. A weighted average D. The variance E. None of the above
C. A weighted average
A study if elementary schools in the Los Angeles Unified School District focused on
the percentage of teachers in each school with emergency credentials (x, in percent) and
the average reading scores (y) of fourth grade students in that school. The least squares
regression line was y=400-3x. If twenty percent of the teachers in prairie Elementary in
the San Fernando Valley have emergency credentials, you would expect the average
reading scores of the fourth grade students in prairie Elementary to be?
A. 60 B. 100 C. 340 D. 399.4 E. None of the above
C. 340
Ten percent of the mail that arrives at a post office has insufficient postage attached. If
a postal worker selects 15 pieces of mail at random, what probability distribution should
he use to calculate the probability that three pieces of mail have sufficient postage?
A. Poisson B. Exponential C. Normal D. Uniform E. None of the above
E. None of the above
If the population is normal, the population standard deviation is known, and the
sample size is ten, which table would you use for calculating probability of the sample
mean?
A. Normal B. Student t C. Chi-square D. Binomial E. None of the above
A. Normal
If the null hypothesis is that the population mean is equal to 30 and you conduct a test
with a significance level of 0.05 and get a p-value of 0.08, then?
A. You must reject the null hypothesis
B. You are certain that the population mean is 30.
C. You cannot reject the null hypothesis.
D. The probability of type II error is 0.08
E. None of the above.
C. You cannot reject the null hypothesis.
A researcher has taken a random sample of more than two items. Compared with the
population standard deviation, the standard error of the mean is?
A. Larger than the population standard deviation.
B. Smaller than the population standard deviation.
C. The same as the population standard deviation.
D. Sometimes larger and sometimes smaller than the population standard deviation.
E. None of the above.
D. Sometimes larger and sometimes smaller than the population standard deviation.
A manufacturer of children’s toys claims that exactly 5% of all his producing are
defective. When 500 toys from today’s outputs were examined 0.8% were found to be
defective. The 500 toys is?
A. The parameter B. The statistic C. The population D. The sample E. None of the above.
D. The sample
A researchers is studying registered voters in Los Angeles to see if they favor the city
of Los Angeles being divided into boroughs (smaller governmental units within the
structure of the city). He asks 350 voters to tell him if they would vote for a plan that
would implement a borough system in Los Angeles. Out of the 350, 235 said they were
in favor of the plan. The population is?
A. The 235 voters in favor of the borough plan.
B. The 350 voters
C. All the voters in favor of the borough plan.
D. All the voters in Los Angeles
E. None of the above
D. All the voters in Los Angeles
A market researcher has interviewed 80 heads of house holds and recorded whether
the person was never married, divorced, windowed, or married. The data is?
A. Discrete
B. Continuous
C. Qualitative
D. Binomial
E. None of the above
C. Qualitative
A car dealer is studying his customers and the cars they buy. It is appropriate for him
to use a mean to describe?
A. The color of the car bought by a typical customer.
B. The zip code of a typical customer.
C. The mileage in miles per gallon of the car bought by a typical customer
D. The city of residence of the typical residence.
E. None of the above.
C. The mileage in miles per gallon of the car bought by a typical customer
Given that a sample of 25 had E x=75, and E (x-x) squared =448, the mean and standard deviation are? A. x=3.0 and s=48/25 B. x=3.0 and s=48/24 C. x=3.0 and s=square root of 48/24 D. x=3.0 and s=square root of 48/25 E. None of the above
C. x=3.0 and s=square root of 48/24
A sample of dental offices found the numbers of cavities filled in the last week to be
as follows: 12, 4, 4, 12, 12, 10. The median number of cavities filled is?
A. 8
B. 9
C. 10
D. 11
E. 12
D. 11
4,4,10,12,12,12
Suppose that, in testing situation with a population that is normally distributed, the
null hypothesis is that the population mean is equal to 41. A sample of size 36 had a
sample mean of 41 and sample standard deviation of 2. Which of the following is
correct?
A. You should reject the null hypothesis
B. You are certain the population mean is 41
C. You cannot reject the null hypothesis
D. You must know the population standard deviation to complete the test
E. None of the above
C. You cannot reject the null hypothesis
Which of the following is ALWAYS true for test of hypothesis?
A. The null hypothesis contains
B. The null and alternative hypothesis are statements about the sample.
C. The alternative hypothesis is true
D. The null hypothesis is more likely to be true than the alternative
E. None of the above
E. None of the above
A sample of 100 receipts from a restaurant showed that 12 had errors. What is the
95% confidence interval for the proportion of all receipts that have error? Note that
20.025= 1.96 and t 0.025= 1.984 for 99 degrees of freedom?
A. 0.12 +- (1.96) square root of (0.12)(0.88)/100
B. 0.12 +- (1.984) square root of (0.12)(0.88)/100
C. 0.88 +- (1.96) square root of (0.12)(0.88)/100
D. 0.12+-(1.96) square root of (0.12)(0.5)/100
E. None of the above
A. 0.12 +- (1.96) square root of (0.12)(0.88)/100
If you have data on product output and total cost of production, you can estimate fixed and variable cost by using? A. Bayes rule B. Linear regression C. A hypothesis test D. A confidence interval E. None of the above
B. Linear regression
The postal service has recently raised the price of a first class stamp by three cents to
37 cents. While you were in the post office, you saw 30 three cent stamps sold and 20 of
the new 37 cents stamps sold. What was the average price paid for a stamp while you
were in the post office?
A. 8.3 cents
B. 16.6 cents
C. 20 cents
D. 25 cents
E. none of the above
B. 16.6 cents
30 > 3 cents
20 > 37 cents
303=90
3720=740
740+90=830
30+20=50
830/50
An investor has purchased stock in a firm. The investor believes that , at the end of
the year, there is 0.10 probability that the stock will show a $6,000 profit, a 0.30
probability that the stock will show a $4000 profit and a 0.60 probability that the stock
will show a $2000 loss. The expected profit is $600. If the best profit increases by
$1000 from $6000 to $7000, the expected profit?
A. Will remain unchanged
B. Will increase by $10
C. Will increase by $100
D. Will increase by a $1000
E. None of the above
C. Will increase by $100
The number of hours in the life time of a light bulb is a random variable of which type? A. Binomial B. Poison C. Continuos D. Discrete E. None of the above
C. Continuos
Which of the following in NOT an assumption that is required for the use of the binomial formula?
A. The trial are independent
B. The probability of success is the same for every trial
C. Each trial has only two possible outcomes
D. The random variable is the number of success out of N trials
E. All of the above assumptions are required
E. All of the above assumptions are required
A survey was conducted in July, 2002 of 200 of the 6000 CSUN business students. The survey asked the questions: Are you taking BUS 301 in the fall? Twenty percent of the 200 students said yes. Using this information?
A. The college knew exactly how many sections of BUS 301 to schedule
B. The College knew exactly how many how many sections of bus301 to schedule, but didn’t know how many should be at night C. The college knew the maximum number of section of bus 301 necessary
D. The college didn’t have enough information to be sure of hoe many sections to schedule
E. None of the abov
D. The college didn’t have enough information to be sure of hoe many sections to schedule
If a television rating service surveyed 800 viewers and 700 watched American Idol, the population is?
A. The 800 viewers surveyed B. The 700 viewers who watched American idol
C. The 100 viewers who did not watch American idol
D. All television viewers
E. None of the above
D. All television viewers
You survey your friends and ask them which type of movie (action, comedy, romance, horror) they prefer. Which of the following graphical displays would be most appropriate to display the data? A. Scatter diagram B. A least squares regression line C. A box plot D. A bar chart E. None of the above
D. A bar chart
A car manufacturer states on the window sticker of its new cars: 38 MPG Highway. This is an example of? A. A mean B. A proportion C. A standard deviation D. A range E. None of the above
B. proportion
A study of the number of cars sold looked at the number of cars sold at 500 Dealers The smallest dealer had 11 cars sold and the largest had 154 cars sold. If you were going to create a frequency distribution of the number of cars sold using six classes in your frequency distribution, which of the following might be a reasonable first class?
a. 0 to 25
b. 0 to 35
c. 5 to 35
d. 10 to 35
e. none of the above
(a) 0 to 25
Which of the following is always true for a test of a hypothesis?
(a) The type ll error is more important than type l error
(b) α is larger then β
(c ) α is the probability of a type ll error
(d) A type l error occurs when you accept the null hypothesis when it is not true
(e) None of the above is true.
(e) None of the above is true.
If you take a sample of size 24 from a normal population for which you do not know the population standard deviation and want to calculate a 95% confidence Interval for the mean, which is not need?
(c) The value of Z 0.224
(c) The value of Z 0.125
(c) The value of Z 0.025
(c) The value of Z 0.325
(c) The value of Z 0.025
The coefficient of determination, R² :
(a) Tell us how close the Regression line fits the points in a bar chart
(b) Tell us how close the Regression line fits the points in a scatter diagram.
(b) Tell us how close the Regression line fits the points in a graph
(b) Tell us how close the Regression line fits the points in a scatter diagram.
The retail price of a product is $5 per unit & the cost of production is $2 per unit. If the expected number of unit sold is 4, the expected profit will be
(b) 12
5 x 4 = 20
2 x 4 = 8
20 - 8 = 12