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##### 25 MCQ of APUS

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solution

**Question**

Question;Part;1 of 9 -;Question 1 of 25;1.0;Points;Which;of the following statements are false regarding a boxplot?;A.The;length of the box equals the range of the data.;B.The;height of the box has no significance.;C.The;right and left of the box are the third and first quartiles;D.Boxplots;can be used to either describe a single variable in a data set or to;compare two (or more) variables.;Part;2 of 9 -;Question 2 of 25;1.0;Points;The table below shows the;preferences for elective courses of students who are undecided about their;majors.;Philosophy;Digital;Art;Film;Studies;Male;9;16;22;Female;6;18;14;What is the probability of randomly selecting a student who is female or;prefers Digital Art?;A.63.5%;B.84.7%;C.46.2%;D.21.2%.;Question 3 of 25;1.0 Points;What is the probability of;drawing two queens in a row from a standard deck of cards without;replacement?;A.0.0059;B.0.0045;C.0.0385;D.0.0015.;Part;3 of 9 -;Question 4 of 25;1.0;Points;There;are two types of random variables, they are;A.exhaustive;and mutually exclusive;B.discrete;and continuous;C.complementary;and cumulative;D.real;and unreal.;Question 5 of 25;1.0 Points;The following data were;obtained from a survey of college students. The variable X represents the number of;non-assigned books read during the past six months.;x;0;1;2;3;4;5;P (X=x);0.20;0.25;0.20;0.15;0.10;0.10;What is the expected value of X?;A.2.0;B.3.65;C.6.25;D.1.20.;Question 6 of 25;1.0 Points;A die is rolled 360 times.;Find the standard deviation for the number of 3s that will be rolled.;A.60;B.50;C.7.1;D.5.9.;Part;4 of 9 -;Question 7 of 25;1.0;Points;In;a normal distribution, changing the standard deviation;A.makes;the curve more or less spread out;B.makes;the curve more robust;C.splits;the distribution to two curves;D.shifts;the curve left or right.;Question 8 of 25;1.0 Points;Given that Z is a standard;normal random variable, P(-1.0 < Z < 1.5) is;A.0.7745;B.0.9332;C.0.0919;D.0.8413.;Question 9 of 25;1.0 Points;The theorem that states that;the sampling distribution of the sample mean is approximately normal when;the sample size n is reasonably large is known as the;A.simple random sample;theorem;B.point estimate theorem;C.central tendency theorem;D.central limit theorem.;Question 10 of 25;1.0 Points;The average height of;flowering cherry trees in a nursery is 11 feet. If the heights are;normally distributed with a standard deviation of 1.6, find the probability;that a randomly selected cherry tree in this nursery is less than 13 feet;tall.;A. 0.67;B.0.89;C.0.95;D.0.11.;Question 11 of 25;1.0 Points;The mean of a probability;distribution can be;A.a positive number;B.a negative number;C.zero;D.all of the above.;Question 12 of 25;1.0 Points;One reason for standardizing;random variables is to measure variables with;A.different means and;standard deviations on a single scale;B.similar means and;standard deviations on two scales;C.dissimilar means and;similar standard deviations in like terms;D.different means and;standard deviations on a non-standard scale.;Part;5 of 9 -;Question 13 of 25;1.0;Points;Accepted characters: numbers, decimal point;markers (period or comma), sign indicators (-), spaces (e.g., as thousands;separator, 5 000), "E" or "e" (used in scientific;notation). NOTE: For scientific notation, a period MUST be used as the;decimal point marker.;Complex numbers should be in the form (a + bi) where "a" and;"b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas;{9i} is not.;The histogram below represents scores achieved by 250 job applicants on a;personality profile.;How many job applicants scored between 10 and 30? Place your answer in the;blank. Do not use any stray symbols. For example, 123 would be a;legitimate answer.;Answer: 100;Part;6 of 9 -;Question 14 of 25;1.0;Points;Accepted;characters;numbers, decimal point markers (period or comma), sign indicators (-);spaces (e.g., as thousands separator, 5 000), "E" or;"e" (used in scientific notation). NOTE: For scientific notation;a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where "a" and;"b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas;{9i} is not.;The;following data were obtained from a survey of college students. The;variable X represents the number;of non-assigned books read during the past six months.;x;0;1;2;3;4;5;6;P (X=x);0.55;0.15;0.10;0.10;0.04;0.03;0.03;Find P(1 < X < 5). Place your answer, rounded to two decimal;places in the blank. For example, 0.56 would be a legitimate;entry.;Answer;0.24;Question 15 of 25;1.0;Points;Accepted;characters;numbers, decimal point markers (period or comma), sign indicators (-);spaces (e.g., as thousands separator, 5 000), "E" or;"e" (used in scientific notation). NOTE: For scientific notation;a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where "a" and;"b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas;{9i} is not.;In;February 2002 the Argentine peso lost 70% of its value compared to the;United States dollar. This devaluation drastically raised the price of;imported products. According to a survey conducted by AC Nielsen in;April 2002, 68% of the consumers in Argentina were buying fewer products;than before the devaluation, 24% were buying the same number of products;and 8% were buying more products. Furthermore, in a trend toward purchasing;less-expensive brands, 88% indicated that they had changed the brands they;purchased. Suppose the following complete set of results were;reported. Use the following data to answer this question.;Number of Products;Purchased;Brands Purchased;Fewer;Same;More;Total;Same;10;14;24;48;Changed;262;82;8;352;Total;272;96;32;400;Given that a consumer changed brands, what then is the probability that the;consumer purchased fewer products than before? Place your answer;rounded to 4 decimal places, in the blank.;Answer: 0.68;Part;7 of 9 -;Question 16 of 25;1.0;Points;Accepted characters: numbers, decimal point markers (period or comma), sign;indicators (-), spaces (e.g., as thousands separator, 5 000), "E;or "e" (used in scientific notation). NOTE: For scientific;notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where "a" and;"b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas;{9i} is not.;If you have six books, but there is room for only four books on the shelf;in how many ways can these books be arranged on the shelf? Place your;answer in the blank. Do not use any decimal places or commas. For example;45 would be a legitimate entry.;Answer;360;Question 17 of 25;1.0;Points;Accepted;characters;numbers, decimal point markers (period or comma), sign indicators (-);spaces (e.g., as thousands separator, 5 000), "E" or;"e" (used in scientific notation). NOTE: For scientific notation;a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where "a" and;"b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas;{9i} is not.;The president of a bank is attempting to arrange a meeting with the three;vice presidents for a Friday weekly meeting. He believes that each of these;three busy individuals, independently of the others, has about 40% chance;of being able to attend the meeting. What is the probability that at least;two of the three vice presidents can attend the meeting? Place your answer;rounded to 3 decimal places, in the blank. For example, 0.123 would be a;legitimate entry.;Answer;0.216;Part;8 of 9 -;Question 18 of 25;1.0;Points;Accepted characters: numbers, decimal point markers (period or comma), sign;indicators (-), spaces (e.g., as thousands separator, 5 000), "E;or "e" (used in scientific notation). NOTE: For scientific;notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where "a" and;"b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas;{9i} is not.;A set of final exam scores in an organic chemistry course was found to be;normally distributed, with a mean of 73 and a standard deviation of 8.;What is the probability of getting a score between 65 and 89 on this exam?;Place your answer, rounded to 4 decimal places in the blank. For example;0.3456 would be a legitimate entry.;Answer;0.8185;Question 19 of 25;1.0;Points;Accepted characters: numbers, decimal point markers (period or comma), sign;indicators (-), spaces (e.g., as thousands separator, 5 000), "E;or "e" (used in scientific notation). NOTE: For scientific;notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where "a" and;"b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas;{9i} is not.;A set of final exam scores in an organic chemistry course was found to be;normally distributed, with a mean of 73 and a standard deviation of 8.;What is the probability of getting a score of 91 or less on this exam? Place;your answer, rounded to 4 decimal places in the blank. For example, 0.3456;would be a legitimate entry.;Answer;0.9878;Question 20 of 25;1.0;Points;Accepted characters: numbers, decimal point markers (period or comma), sign;indicators (-), spaces (e.g., as thousands separator, 5 000), "E;or "e" (used in scientific notation). NOTE: For scientific;notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where "a" and;"b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas;{9i} is not.;A set of final exam scores in an organic chemistry course was found to be;normally distributed, with a mean of 73 and a standard deviation of 8.;Only 5% of the students taking the test scored higher than what value?;Place your answer, rounded to a whole number, in the blank. For example, 78;would be a legitimate entry.;Answer;86.16;Question 21 of 25;1.0;Points;Accepted characters: numbers, decimal point markers (period or comma), sign;indicators (-), spaces (e.g., as thousands separator, 5 000), "E;or "e" (used in scientific notation). NOTE: For scientific;notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where "a" and;"b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas;{9i} is not.;Scores on a mathematics examination appear to follow a normal distribution;with mean of 65 and standard deviation of 15. The instructor wishes to give;a grade of ?C? to students scoring between the 60th and 70th percentiles on;the exam.;What score represents the 70th percentile score on the mathematics exam?;Place your answer in the blank, rounded to a whole number. For example, 62;would be a legitimate entry.;Answer;69;Question 22 of 25;1.0;Points;Accepted characters: numbers, decimal point markers (period or comma), sign;indicators (-), spaces (e.g., as thousands separator, 5 000), "E;or "e" (used in scientific notation). NOTE: For scientific;notation, a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where "a" and;"b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas;{9i} is not.;Suppose that the average weekly earnings for employees in general;automotive repair shops is $450, and that the standard deviation for the;weekly earnings for such employees is $50. A sample of 100 such employees;is selected at random.;Find the probability that the mean of the sample is between $445 and $455.;Place your answer, rounded to 4 decimal places, in the blank. For example;0.2345 would be a legitimate entry.;Answer;.6826;Question 23 of 25;1.0;Points;Accepted;characters;numbers, decimal point markers (period or comma), sign indicators (-);spaces (e.g., as thousands separator, 5 000), "E" or;"e" (used in scientific notation). NOTE: For scientific notation;a period MUST be used as the decimal point marker.;Complex numbers should be in the form (a + bi) where "a" and;"b" need to have explicitly stated values.;For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas;{9i} is not.;Suppose that the average weekly earnings for employees in general;automotive repair shops is $450, and that the standard deviation for the;weekly earnings for such employees is $50. A sample of 100 such employees;is selected at random.;Find the probability that the mean of the sample is greater than $460.;Place your answer, rounded to 4 decimal places, in the blank. For example;0.2345 would be a legitimate answer.;Answer:.0228;Part;9 of 9 -;Question 24 of 25;1.0;Points;The;sampling distribution of the mean will have the same standard deviation as;the original population from which the samples were drawn.;True;False.;Question 25 of 25;1.0 Points;The sampling distribution of;the mean will have the same mean as the original population from which the;samples were drawn.;True;False.

Paper#60534 | Written in 18-Jul-2015

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