Maths Multiple Choice Questions

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