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Maths Multiple Choice Problems

Question # 00007504
Subject: Mathematics
Due on: 01/30/2014
Posted On: 01/30/2014 07:07 AM

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Question 1
1.
Which of the following is most likely a population as opposed to a sample?
Answer

respondents to a newspaper survey

the first 5 students completing an assignment

every third person to arrive at the bank

registered voters in a county
4 points
Question 2
1.
Which of the following can be reduced by proper interviewer training
Answer

sampling error

measurement error

both of the above

none of the above
4 points
Question 3
1.
According to the empirical rule, if the data form a "bell-shaped" normal distribution, ________ percent of the observation will be contained within 1 (one) standard deviation around the arithmetic mean.
Answer

68.26

75.00

88.89

93.75
4 points
Question 4
1.
The probability that a new advertising campaign will increase sales is asssessed as being 0.80. The probabliity that the cost of devolping the new add campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, the probability that the cost is kept withing budget and the campain will increase sales is:
Answer

0.20

0.32

0.40

0.88
4 points
Question 5
1.
In a non symmmetrical distribution:
Answer

the range equals the interquartile range

the interquartile range equals the mean

the median does not equal the mean

the variance equals the standard deviation
4 points
Question 6
1.
Which statement about the standard normal distribution is NOT true
Answer

It has a mean of 0

It has a variance of 0

has an area under the probability distribution curve equal to 1.

has a standard deviation of 1.
4 points
Question 7
1.
If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 4.5 minutes and a standard deviation of 3.2 minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 4 minutes.
Answer

0.4379

0.5000

0.5620

0.9999
4 points
Question 8
1.
The following data represent the response (Y for yes and N for no) from a sample of 40 college students to the question SDo you currently own shares in any stocks? (8 points)N N Y N N N N Y N Y N N Y N Y Y N N N YN Y N N N N Y N N N Y N N N Y N N Y N NWhat is the standard error of the sample proportion of college students who own stocks?
Answer

0.0114

0.0724

0.4582

2.8982
4 points
Question 9
1.
If an economist wishes to determine whether there is evidence that average family income in a community exceeds $25,000
Answer

either a one-tailed or two-tailed test could be used with equivalint results.

a one tailed test should be utilized.

a two-tailed test shoud be utilized.

none of the above.
4 points
Question 10
1.
The power of a statistical test is
Answer

the probability of not rejecting Ho when it is false.

the probability of rejecting Ho when it is true.

the probablility of not rejecting Ho when it is true.

the proability of rejecting Ho when it is false.
4 points
Question 11
1.
If we are testing for the difference between the means of 2 related populations with samples of n1 = 20 and n2 = 20, the number of degrees of freedom is equal to
Answer

39

38

19

18
4 points
Question 12
1.
The statictical distribution used for testing the difference between two population variances is the ___ distribution.
Answer

t

standardized normal

binomial

F
4 points
Question 13
1.
a "robust" test procedure is one which
Answer

requires a sofphisticaed level of measurement.

requires a semi-circular shaped population.

is sensetive to slight violations in its assumptions.

is insensetive to slight violations in its assumptions.
4 points
Question 14
1.
Why would you use the Tukey-Kramer procedure?
Answer

to test for normality

to test for homogeneity of variance

to test for independence of errors

to test for the differences in pairwise means
4 points
Question 15
1.
For a given level of significance, if the sample size is increased, the power of the test will
Answer

increase

stay the same

decrease
4 points
Question 16
1.
The standard error of the sample proportion is the largest when the sample proportion reaches
Answer

0.9

0.8

1

0.5
4 points
Question 17
1.
An economist is interested in studying the incomes of consumers in a particular region. The population standard deviation is know to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000. What sample size would the economist need to use if he wants a 95% confidence interval no wider than plus or minus $100?
Answer

1486 individuals

385 individuals

126 individuals

85 individuals
4 points
Question 18
1.
A 99% confidence intereval estimate can be interpreted to mean that
Answer

if all possible samples are taken and confidence interval estimates are developed, 99% of them would include the true population mean somewhere within their interval.

we have 99% confidence that we have selected a sample whose interval does include the population mean.

both of the above

none of the above
4 points
Question 19
1.
The Y intercept (bo) represnts the
Answer

the predicted value of Y when X = 0.

the change in estimated average y per unit change in X.

predicted value of Y.

variation around the sample regression line.
4 points
Question 20
1.
The slope (b1) represents
Answer

the predictied value of Y when X = 0

the estimated average change in Y per unit change in X.

the predicted value of Y.

variation around the line of regression.
4 points
Question 21
1.
The least squares method minimizes which of the following?
Answer

SSR

SSE

SST

all the above
4 points
Question 22
1.
In performing a regression analysis involving two numerical variables, we are ssuming:
Answer

the variances of X and Y are equal.

the variation around the line of regression is the same for each X value.

that X and Y are independent.

all of the above.
4 points
Question 23
1.
The strength of the linear relationship between to numerical variables may be measured by the
Answer

scatter diagram

coefficient of correlation

slope

Y intercept
4 points
Question 24
1.
In a multiple regression mode, the value of the coefficient of multiple determination
Answer

has to fall between -1 and +1.

has to fall between 0 and +1.

has to fall between -1 and 0.

can falll between any pair of real numbers.
4 points
Question 25
1.
When testing for independence in a contingency table with 3 rows and 4 columns, there are ______ degrees of freedom.
Answer

5

6

7

12
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Maths Multiple Choice Problems Solution

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Preview: is xxxxxxxxxx the xxxxx of the xxxx willAnswerincreasestay the xxxxxxxxxxxxx pointsQuestion xxx xxx standard xxxxx of the xxxxxx proportion is xxx largest xxxx xxx sample xxxxxxxxxx reachesAnswer0 90 xxx 54 pointsQuestion xxx An xxxxxxxxx xx interested xx studying the xxxxxxx of consumers xx a xxxxxxxxxx xxxxxx The xxxxxxxxxx standard deviation xx know to xx $1,000 x xxxxxx sample xx 50 individuals xxxxxxxx in an xxxxxxx income xx xxxxxxx What xxxxxx size would xxx economist need xx use xx xx wants x 95% confidence xxxxxxxx no wider xxxx plus xx xxxxx $100?Answer1486 xxxxxxxxxxxxxx individuals126 individuals85 xxxxxxxxxxxx pointsQuestion 181 x 99% xxxxxxxxxx xxxxxxxxx estimate xxx be interpreted xx mean thatAnswerif xxx possible xxxxxxx xxx taken xxx confidence interval xxxxxxxxx are developed, xxx of xxxx xxxxx include xxx true population xxxx somewhere within xxxxx interval xx xxxx 99% xxxxxxxxxx that we xxxx selected a xxxxxx whose xxxxxxxx xxxx include xxx population mean xxxx of the xxxxxxxxx of xxx xxxxxx pointsQuestion xxx The Y xxxxxxxxx (bo) represnts xxxxxxxxxxxx predicted xxxxx xx Y xxxx X = x the change xx estimated xxxxxxx x per xxxx change in x predicted value xx Y xxxxxxxxx xxxxxx the xxxxxx regression line x pointsQuestion.....
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