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mcq questions




Question;1;The right way to think about the sample mean is;a;The sample mean is a constant number.;b;The sample mean is a different value in each random sample from;the population mean.;c;The sample mean is always close to the population mean.;d;The sample mean is always smaller than the population mean.;2;The sampling distribution of x? is approximately normal if;a;the distribution of x is skewed.;b;the distribution of x is approximately symmetric;c;the sample size is large enough.;d;the sample size is small enough.;3;There is a population of six families in a small;neighborhood: Albertson, Benson;Carlson, Davidson, Erikson, and Fredrickson.;You plan to take a random sample of n=3 families (without;replacement). The total number of;possible sample is _____.;a;6;b;12;c;18;d;20;4;The mean daily output of an automobile manufacturing plant is?;= 520 cars with standard deviation of? = 14 cars. In a random sample of n = 49 days, the;probability that the sample mean output;of cars (x?) will be within ?3 cars from the population mean is;a;0.9876;b;0.9544;c;0.9266;d;0.8664;5;In the population of IUPUI undergraduate students 38 percent;(0.38) enroll in classes during the summer sessions. Let;p? denote the sample proportion of students who plan to enroll in;summer classes in samples of size n = 200 selected from this population. The expected value of the sample;proportion, E(p?), is _______.;a;0.38;b;0.28;c;0.25;d;0.18;6;In the previous question, the standard error of the sampling;distribution of p? is, se(p?)=_______.;a;0.0343;b;0.0297;c;0.0248;d;0.0221;7;The expression;Means;a;Once you take a specific sample and calculate the value of x?;the probability that the value of x? you just calculated is within ?1.96?/?n;from? is 0.95.;b;In repeated samples, the probability that x? is within ?1.96;?/?n from? is 0.95.;c;Once you take a specific sample and calculate the value of x?, you are 95 percent certain that the;value you calculated is?.;d;In repeated samples, you are 95 percent certain that the value;of x? is?.;8;As part of a course assignment to develop an interval estimate;for the proportion of IUPUI students who smoke tobacco, each of 480 E270;students collects his or her own random sample of n=400 IUPUI students to;construct a 95 percent confidence interval.;Considering the 480 intervals constructed by the E270 students, we;would expect ________ of these intervals to capture the population proportion;of IUPUI students who smoke tobacco.;a;480;b;456;c;400;d;380;9;Assume the actual population proportion of IUPUI students who;smoke tobacco is 20 percent (0.20).;What proportion of sample proportions obtained from random samples of;size n=300 are within a margin of error of;?3 percentage points (?0.03) from the population proportion?;a;0.8064;b;0.8472;c;0.8858;d;0.9050;10;To estimate the average number of customers per business day;visiting a branch of Fifth National Bank, in a random sample of n = 9;business days the sample mean number of daily customer visits is x? = 250;with a sample standard deviation of s = 36 customers. The 95 percent confidence interval for the;mean daily customer visits is;a;(205, 295);b;(217, 283);c;(222, 278);d;(226, 274);11;In the previous question, how large a sample should be selected;in order to have a margin of error of ?5 daily customer visits? Use the standard deviation in that question;as the planning value.;a;78;b;101;c;139;d;200;12;Compared to a confidence interval with a 90 percent confidence;level, an interval based on the same sample size with a 99 percent level of;confidence;a;is wider.;b;is narrower.;c;has the same precision.;d;would be narrower if the sample size is less than 30 and wider;if the sample size is at least 30.;13;It is estimated that 80% of Americans go out to eat at least;once per week, with a margin of error of 0.04 and a 95% confidence;level. A 95% confidence interval for;the population proportion of Americans who go out to eat once per week or;more is;a;(0.798, 0.802);b;(0.784, 0.816);c;(0.771, 0.829);d;(0.760, 0.840);14;In a random sample of 600 registered voters, 45 percent said;they vote Republican. The 95%;confidence interval for proportion of all registered voters who vote;Republican is;a;(0.401, 0.499);b;(0.410, 0.490);c;(0.421, 0.479);d;(0.426, 0.474);15;John is the manager of an election campaign. John?s candidate wants to know what;proportion of the population will vote for her. The candidate wants to know this with a;margin of error of ? 0.01 (at 95% confidence). John thinks that the population proportion;of voters who will vote for his candidate is 0.50 (use this for a planning;value). How big of a sample of;voters should you take?;a;9,604;b;8,888;c;5,037;d;1,499;16;If the candidate changes her mind and now wants a;margin-of-error of ? 0.03 (but still 95% confidence);a;John could select a different sample of the same size, but;adjust the error probability.;b;John should select a larger sample.;c;John should select a smaller sample.;d;John should inform the candidate that margin of error does not;impact the sample size.;17;In a test of hypothesis, which of the following statements about;a Type I error and a Type II error is correct;a;Type I: Reject a true;alternative hypothesis.;Type II: Do not reject a false alternative;hypothesis.;b;Type I: Do not Reject a;false null hypothesis.;Type II: Reject a true null hypothesis.;c;Type I: Reject a false;null hypothesis.;Type II: Reject a true null hypothesis.;d;Type I: Reject a true;null hypothesis.;Type II: Do not reject a false null hypothesis.;18;You are reading a report that contains a hypothesis test you are;interested in. The writer of the;report writes that the p-value for the test you are interested in is 0.0831;but does not tell you the value of the test statistic. Using? as the level of significance, from;this information you;a;decide to reject the hypothesis at? = 0.10, but not reject at?;= 0.05.;b;cannot decide based on this limited information. You need to know the value of the test;statistic.;c;decide not to reject the hypothesis at? = 0.10, and not to;reject at? = 0.05;d;decide to reject the hypothesis at? = 0.10, and reject at? =;0.05;19;Linda works for a charitable organization and she wants to see;whether the people who donate to her organization have an average age over 40;years. She obtains a random sample of;n = 180 donors and the value of the sample mean is x? = 42 years, with a sample;standard deviation of s = 18 years.;She wants to conduct the test of H?:?? 40 with a 5% level of significance. She should reject H? if the value of the;test statistic is;a;less than the critical value.;b;greater than the critical value.;c;more than two standard errors above the critical value.;d;equal to the critical value.;20;Now she performs the test and obtains the test statistic of TS =;a;1.49 and does not reject H?.;She concludes that the average age is not over 40.;b;1.49 and rejects H?. She;concludes that the average age is over 40.;c;1.74 and does not reject H?.;She concludes that the average age is not over 40.;d;1.74 and rejects H?. She;concludes that the average age is over 40.;21;The probability value for Linda?s hypothesis test is ______.;a;0.0207;b;0.0409;c;0.0542;d;0.0681;22;The Census Bureau?s American Housing Survey has reported that 80;percent of families choose their house location based on the school;district. To perform a test, with a;probability of Type I error of 5 percent, that the population proportion;really equals 0.80, in a sample of 600 families 504 said that they chose;their house based on the school district.;The null hypothesis would be rejected if the sample proportion falls;outside the margin of error. The;margin of error for the test is;a;0.039;b;0.032;c;0.025;d;0.020;23;The probability value for the hypothesis test in the previous;question is;a;0.0026;b;0.0071;c;0.0142;d;0.0224;24;Given the following sample data, is there enough evidence, at;the 5 percent significance level, the population mean is greater than 7?;x;9;2;15;17;8;11;13;5;Compute the relevant test statistic.;a;The test statistic is 1.683 and the critical value is 1.895. Do;not reject the null hypothesis and conclude that the population mean is not;greater than 7.;b;The test statistic is 1.683 and the critical value is 1.895. Reject;the null hypothesis and conclude that the population mean is greater than 7.;c;The test statistic is 2.432 and the critical value is 2.365.;Reject the null hypothesis and conclude that the population mean is greater;than 7.;d;The test statistic is 2.432 and the critical value is 1.895.;Reject the null hypothesis and conclude that the population mean is not;greater than 7.;Next SIX questions are based on the following regression model;In a regression model relating the price of homes (in $1,000) as;the dependent variable to their size in square feet, a sample of 20 homes;provided the following regression output.;Some of the calculations are left blank for you to compute.;SUMMARY OUTPUT;Regression Statistics;Multiple R;0.7760;R Square;Adjusted R Square;0.5801;Standard Error;Observations;20;ANOVA;df;SS;MS;F;Significance F;Regression;1;27.24937;5.78E-05;Residual;18;13960.49;Total;19;35094.63;Coefficients;Std Error;t Stat;P-value;Lower 95%;Upper 95%;Intercept;15.8479;25.0665;0.632;0.5352;-36.815;68.511;Size (Square Feet);0.0695;0.0133;5.79E-05;0.0416;25;The model predicts that the price of a home with a size of 2,000;square feet would be ______ thousand.;a;$148.70;b;$154.80;c;$159.50;d;$164.30;26;The sum of squares regression (SSR) is;a;49055.12;b;35094.63;c;21134.14;d;13960.49;27;The regression model estimates that _____% of the variation in;the price of the home is explained by the size of the homes.;a;60.20%;b;65.60%;c;71.50%;d;77.20%;28;The standard error of the regression (standard error of;estimate) is ______.;a;30.634;b;33.698;c;27.849;d;24.067;29;The value of the test statistic to test the null hypothesis that;property size does not influence the price of the property is ______.;a;4.348;b;5.226;c;6.391;d;6.982;30;The margin of error to build a 95% confidence interval for the;slope coefficient that relates the price response to each additional square;foot is _______.;a;0.042;b;0.032;c;0.034;d;0.028


Paper#52742 | Written in 18-Jul-2015

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