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Maths Multiple Choice Problems




Question;Question 11. Which of the following is most likely a population as opposed to a sample?Answerrespondents to a newspaper surveythe first 5 students completing an assignmentevery third person to arrive at the bankregistered voters in a county4 points Question 21. Which of the following can be reduced by proper interviewer trainingAnswersampling errormeasurement errorboth of the abovenone of the above4 points Question 31. 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.Answer68.2675.0088.8993.754 points Question 41. 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:Answer0.200.320.400.884 points Question 51. In a non symmmetrical distribution:Answerthe range equals the interquartile rangethe interquartile range equals the meanthe median does not equal the meanthe variance equals the standard deviation4 points Question 61. Which statement about the standard normal distribution is NOT trueAnswerIt has a mean of 0It has a variance of 0has an area under the probability distribution curve equal to 1.has a standard deviation of 1.4 points Question 71. 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.Answer0.43790.50000.56200.99994 points Question 81. 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?Answer0.01140.07240.45822.89824 points Question 91. If an economist wishes to determine whether there is evidence that average family income in a community exceeds $25,000Answereither 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 101. The power of a statistical test isAnswerthe 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 111. 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 toAnswer393819184 points Question 121. The statictical distribution used for testing the difference between two population variances is the ___ distribution. Answertstandardized normalbinomialF4 points Question 131. a "robust" test procedure is one which Answerrequires a sofphisticaed level of measurement.requires a semi-circular shaped sensetive to slight violations in its insensetive to slight violations in its assumptions.4 points Question 141. Why would you use the Tukey-Kramer procedure?Answerto test for normalityto test for homogeneity of varianceto test for independence of errorsto test for the differences in pairwise means4 points Question 151. For a given level of significance, if the sample size is increased, the power of the test willAnswerincreasestay the samedecrease4 points Question 161. The standard error of the sample proportion is the largest when the sample proportion reachesAnswer0.90.810.54 points Question 171. 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?Answer1486 individuals385 individuals126 individuals85 individuals4 points Question 181. A 99% confidence intereval estimate can be interpreted to mean thatAnswerif 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 abovenone of the above4 points Question 191. The Y intercept (bo) represnts theAnswerthe 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 201. The slope (b1) representsAnswerthe predictied value of Y when X = 0the estimated average change in Y per unit change in X.the predicted value of Y.variation around the line of regression.4 points Question 211. The least squares method minimizes which of the following?AnswerSSRSSESSTall the above4 points Question 221. In performing a regression analysis involving two numerical variables, we are ssuming:Answerthe 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 231. The strength of the linear relationship between to numerical variables may be measured by theAnswerscatter diagramcoefficient of correlationslopeY intercept4 points Question 241. In a multiple regression mode, the value of the coefficient of multiple determinationAnswerhas 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 251. When testing for independence in a contingency table with 3 rows and 4 columns, there are ______ degrees of freedom.Answer56712


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