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STATS Assignment 40 MCQs

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Question;QUESTION 1;1. Determine P(-1.3;Z 0;C.;Ho:?1 = 0 vs. Ha:?1? 0;D.;Ho:?1 = 228 vs.;Ha:?1 = 228;2.5 points;QUESTION 12;1.;A;travel agent would like to estimate confidence intervals for the average price;of a hotel room during the summer in a resort community. The agent takes a;random sample of 16 hotels from the community, and finds that the mean price of;regular room is $115 with a sample standard deviation of $30. Assume the;population of prices is normally distributed.;Find the lower bound;(to the nearest hundredth) for a 95% confidence interval for?.;A.;100.30;B.;99.02;C.;102.66;D.;113.13;E.;101.85;2.5 points;QUESTION 13;1.;Fund;1;Fund;2;Fund;3;Fund;4;January;15;15;24;23;February;12;13;15;24;March;11;10;13;24;April;18;5;9;24;May;16;19;19;22;June;11;10;13;25;Fund 1;Fund 2;Fund 3;Fund 4;Mean;13.83333;12;15.5;23.66667;Standard Error;1.194897;1.966384;2.156386;0.421637;Median;13.5;11.5;14;24;Mode;11;10;13;24;Standard Deviation;2.926887;4.816638;5.282045;1.032796;Sample Variance;8.566667;23.2;27.9;1.066667;Kurtosis;-1.81002;0.14343;0.25475;0.585938;Skewness;0.38819;0.032216;0.714533;-0.66567;Range;7;14;15;3;Minimum;11;5;9;22;Maximum;18;19;24;25;Sum;83;72;93;142;Count;6;6;6;6;2.;Consider;the January monthly returns for Fund 1 and Fund 2. Relative to their own;fund, which January return had the better performance?;A.;Fund;1;B.;Fund;2;C.;They;were the same;D.;cannot;be determined;E.;2.5 points;QUESTION 14;1. A patient is tested for TB at a medical clinic. Consider the hypotheses;Ho: The patient does not have TB;Ha: The patient has TB;When does a;Type I error occur?;A.;The test gives a;positive result (the patient has TB) when the patient actually has TB;B.;The test gives a;positive result (the patient has TB) when the patient does not have TB;C.;The test gives a;negative result (the patient does not have TB) when the patient actually has;TB;D.;The test gives a;negative result (the patient does not have TB) when the patient does not have;TB;2.5 points;QUESTION 15;1.;A;market research analyst believes that the average weekly household expenditure;on groceries in Pearland is $125. Assume that the weekly household expenditures;are normally distributed. In setting up the hypotheses to test the analyst?s;belief, she obtained a test statistic value of z = 1.45;Based on the results;of the hypothesis test at the 10% level of significance, which of the following;is a correct conclusion?;A.;There is sufficient;evidence to conclude that the average weekly household expenditure on;groceries in Pearland is $125.;B.;There is sufficient;evidence to conclude that the average weekly household expenditure on;groceries in Pearland is significantly different from $125.;C.;There;is not sufficient evidence to conclude that the average weekly household;expenditure on groceries in Pearland is significantly different from $125.;2.5 points;QUESTION 16;1.;An;economist claims that the average Hispanic owned business generates revenues of;less than $70,000 annually. A random survey of 10 Hispanic owned businesses;revealed an average annual revenue of $58,600 with a standard deviation of;$18,000. Assume a normal population. We wish to test the economist's claim, at;a 10% significance level.;Based on the data and;this hypothesis test, state the conclusion at a 10% level of significance.;A.;There is sufficient;evidence that the average annual revenue for Hispanic owned businesses is;less than $70,000.;B.;There is sufficient evidence;that the average annual revenue for Hispanic owned businesses is less than;$70,000.;C.;There is sufficient;evidence that the average annual revenue for Hispanic owned businesses is;more than $70,000.;2.5 points;QUESTION 17;1.;A;study has shown that 30% of all students taking finance at Bellaire College;fail the first exam. A random sample of 12 students taking finance at Bellaire;College is selected.;Find the probability;that less than 5 students will fail the first finance exam.;A.;0.2764;B.;0.8821;C.;0.7236;D.;0.1179;E.;0.1585;2.5 points;QUESTION 18;1. The time to complete;a set of homework problems has a normal distribution with mean 42 minutes and;standard deviation 9 minutes.;Find the probability;that a randomly selected student will complete the homework problems in;less than 30 minutes.;A.;0.4082;B.;0.0918;C.;0.4032;D.;0.9082;E.;0.133;2.5 points;QUESTION 19;1. The stem-and-leaf diagram below displays the number of vacation;days taken in 1997 by a sample of;40 employees of an electronics company.;Stem;Leaves;0 00123334456889 Stem;unit = ten;1;000111134456;2;0000123468;3;001;4;3;Referring to the stem-and-leaf;display above, what PERCENTAGE of employees took less than 30 vacation;days?;A.;4;B.;90;C.;5;D.;10;E.;36;2.5 points;QUESTION 20;1. A study is being planned to estimate the mean number of inches;that trees will grow per year in a forest.;From previous studies, it is known that the growth is normally distributed and;the population standard;deviation is 0.80 inches. The analysts wish to have 90% confidence and want the;estimate to be within;0.20 inch. What size sample is needed for this study?;A.;43;B.;27;C.;44;D.;7;E.;43.3;2.5 points;QUESTION 21;1.;An;economist claims that the average Hispanic owned business generates revenues of;less than $70,000 annually. A random survey of 10 Hispanic owned businesses;revealed an average annual revenue of $58,600 with a standard deviation of;$18,000. Assume a normal population. We wish to test the economist's claim, at;a 10% significance level.;Calculate the value;of the test statistic.;A.;2.003;B.;-0.633;C.;-2.003;D.;1.282;E.;1.372;2.5 points;QUESTION 22;1.;Fund;1;Fund;2;Fund;3;Fund;4;January;15;15;24;23;February;12;13;15;24;March;11;10;13;24;April;18;5;9;24;May;16;19;19;22;June;11;10;13;25;Fund 1;Fund 2;Fund 3;Fund 4;Mean;13.83333;12;15.5;23.66667;Standard Error;1.194897;1.966384;2.156386;0.421637;Median;13.5;11.5;14;24;Mode;11;10;13;24;Standard Deviation;2.926887;4.816638;5.282045;1.032796;Sample Variance;8.566667;23.2;27.9;1.066667;Kurtosis;-1.81002;0.14343;0.25475;0.585938;Skewness;0.38819;0.032216;0.714533;-0.66567;Range;7;14;15;3;Minimum;11;5;9;22;Maximum;18;19;24;25;Sum;83;72;93;142;Count;6;6;6;6;2.;3. The 50th percentile of Fund 3's monthly returns would be ___________?;4.;A.;13;B.;15;C.;11.5;D.;14;E.;15.5;2.5 points;QUESTION 23;1. A random sample of eleven college students were surveyed and asked;what brand of laptop they use and how long the battery lasted after the last;full charge;Laptop;Brand:Samsung, Dell, HP, Apple, Dell, HP, Dell, Toshiba, Dell, HP, AppleBattery;Life (hours): 9, 6, 4, 9, 6, 3, 8, 10;9, 5, 8;Assuming this data reflects all;students;Assuming this data reflects all students at the college, what;brand of laptop would you expect the average;or typical student to own?;A.;Samsung;B.;HP;C.;Dell;D.;Apple;E.;Toshiba;2.5 points;QUESTION 24;1.;A;travel agent would like to estimate confidence intervals for the average price;of a hotel room during the summer in a resort community. The agent takes a;random sample of 16 hotels from the community, and finds that the mean price of;regular room is $115 with a sample standard deviation of $30. Assume the;population of prices is normally distributed.;Suppose a 90%;confidence interval for? is (108, 122). State which of the following is a;correct;interpretation of the confidence interval by completing the following: We are;90% confident that;A.;the price for;regular room for the 16 hotels is between $108 and $122.;B.;the price for;regular room for all hotels in the community is between $108 and $122.;C.;the average;price for regular room for the 16 hotels is between $108 and $122.;D.;the average price;for regular room for all hotels in the community is between $108 and $122.;2.5 points;QUESTION 25;1. A survey was taken to determine how much time UHD students spend;doing homework per week. The random sample of UHD students resulted in the;frequency distribution shown below.;Time;(in hours) Frequency;0 and under;2;4;2 and under;4;6;4 and under;6;11;6 and under;8;18;8 and under;10;26;10 and under;12;5;What PERCENTAGE of the students studied 6 or more hours?;A.;11;B.;30;C.;0.16;D.;70;E.;0.3;2.5 points;QUESTION 26;1. The heights of women have a normal distribution with mean? = 64;inches and VARIANCE of 4 inches. Let X = height of a woman and find P(X 58,600;B.;H0:? =;70,000 Ha:?? 70,000;C.;H0:??;70,000 Ha:?;70,000 Ha:?? 70,000;2.5 points;QUESTION 30;1. A random sample of eleven college students were surveyed and asked;what brand of laptop they use and how long the battery lasted after the last;full charge;Laptop;Brand: Samsung, Dell, HP, Apple;Dell, HP, Dell, Toshiba, Dell, HP, AppleBattery;Life (hours):9, 6, 4, 9, 6, 3, 8, 10, 9, 5, 8;Assuming this data reflects all;students;The sample standard deviation of these battery lives, rounded to;the nearest hundredthm would be;A.;5.40;B.;2.65;C.;7.00;D.;2.32;E.;2.22;2.5 points;QUESTION 31;1.;A;professor wants to analyze the number of hours students spent online during the;weekend and their scores on a test the following Monday. Part of the regression;output appears below.;Coefficients;Standard Error;t Stat;P-value;Intercept;93.97;4.52;2.77;0.050693;Test Score;-4.07;0.86;-4.73;0.008048;2.;R;Square 0.69105342;3.;At;the.05 level, the professor could conclude that the time spent online by;students over the weekend is a;useful predictor of test scores the following Monday.;A.;False;B.;True;2.5 points;QUESTION 32;1.;A;professor wants to analyze the number of hours students spent online during the;weekend and their scores on a test the following Monday. Part of the regression;output appears below.;Coefficients;Standard Error;t Stat;P-value;Intercept;93.97;4.52;2.77;0.050693;Test Score;-4.07;0.86;-4.73;0.008048;2.;R;Square 0.69105342;3.;4. What is the least squares regression equation?;5.;A.;y;= -4.07 + 93.97x;B.;y;= 93.97 - 4.07x;C.;y;= 93.97 + 4.52x;D.;y;= 4.52 + 0.86x;2.5 points;QUESTION 33;1. A random sample of eleven college students were surveyed and asked;what brand of laptop they use and how long the battery lasted after the last;full charge;Laptop Brand: Samsung;Dell, HP, Apple, Dell, HP, Dell, Toshiba, Dell, HP, AppleBattery;Life (hours): 9, 6, 4, 9, 6, 3, 8, 10;9, 5, 8;Assuming this data reflects all;students;A ____________could be used to;display the frequencies of the battery life data, and a ___________could be;used to display the frequencies of the laptop brands.;A.;pie chart, histogram;B.;histogram, bar chart;C.;bar chart, stem-and-leaf;display;D.;stem-and-leaf, histogram;E.;histogram, stem-and-leaf;display;2.5 points;QUESTION 34;1. A survey was taken to determine how much time UHD students spend;doing homework per week. The random sample of UHD students resulted in the;frequency distribution shown below.;Time;(in hours) Frequency;0 and under;2;4;2 and under;4;6;4 and under;6;11;6 and under;8;18;8 and under;10;26;10 and under;12;5;The class width is;A.;10.00;B.;1.99;C.;12.00;D.;2.00;E.;100;2.5 points;QUESTION 35;1.;X;P(X);0;.08;1;.25;2;.38;3;.19;4;.08;5;.02;2.;What is the expected number of televisions per household?;3.;A.;2.5;B.;2.8;C.;2.0;D.;3.0;E.;2.1;2.5 points;QUESTION 36;1. A survey was taken to determine how much time UHD students spend;doing homework per week. The random sample of UHD students resulted in the;frequency distribution shown below.;Time;(in hours) Frequency;0 and under;2;4;2 and under;4;6;4 and under;6;11;6 and under;8;18;8 and under;10;26;10 and under;12;5;What would be theAPPROXIMATE shape;of the frequency histogram?;A.;bell-shaped;B.;skewed to the left;C.;skewed to the right;D.;bi-modal;E.;none of these;2.5 points;QUESTION 37;1. A professor wants to;analyze the number of hours students spent online during the weekend and their;scores on a test the following Monday. Part of the regression output appears;below.;Coefficients;Standard Error;t Stat;P-value;Intercept;93.97;4.52;2.77;0.050693;Test Score;-4.07;0.86;-4.73;0.008048;R;Square 0.69105342;Interpret the SLOPE;of the least squares line.;A.;For every;additional hour spent online, the predicted test score increases by 93.97;points, on average.;B.;For every 1 point;increase in test score, the predicted time spent online decreases by 4.07;hrs, on average;C.;For every additional hour;spent online, the predicted test score increases by 4.52 points, on average.;D.;For every 1 point increase in;test score, the predicted time spent online increases by 93. min. on average.;E.;For every additional hour;spent online, the predicted test score decreases by 4.07 points, on average.;2.5 points;QUESTION 38;1.;An;economist claims that the average Hispanic owned business generates revenues of;less than $70,000 annually. A random survey of 10 Hispanic owned businesses revealed;an average annual revenue of $58,600 with a standard deviation of $18,000.;Assume a normal population. We wish to test the economist's claim, at a 10%;significance level.;We would reject Ho if;the test statistic is;A.;greater than 1.383;B.;less than -1.28;C.;less than -1.372;D.;less than -1.383;E.;greater than 1.645;2.5 points;QUESTION 39;1.;A;market research analyst believes that the average weekly household expenditure;on groceries in Pearland is $125. Assume that the weekly household expenditures;are normally distributed. In setting up the hypotheses to test the analyst?s;belief, she obtained a test statistic value of z = 1.45;Calculate the p-value;based on normal distribution.;A.;0.1470;B.;0.0287;C.;0.0735;D.;0.0574;E.;0.4265;2.5 points;QUESTION 40;1.;For a large survey of students;the shape of this graph would most likely be described as

 

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