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##### APUS Math302 MidTerm

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Question;Part 1 of 9 -;Question 1 of 25 1.0;Points;The mode is best described as the;A.same as the;average;B.middle observation;C.most frequently;occurring value;D.50th percentile;Reset Selection;Part 2 of 9 -;Question 2 of 25 1.0;Points;The table below shows the number of TVs and the number of;Blu-Ray players that residents in an apartment building have according to the;type of apartment that they live in.;1-bedroom 2-bedroom studio;TV 8 6 4;Blu-Ray3 1 2;What is the probability of randomly selecting an apartment;which has 1 bedroom or a Blu-Ray player?;A.0.273;B.0.125;C.0.708;D.0.583;Reset Selection;Question 3 of 25 1.0;Points;A jar contains four white marbles, five red marbles, and six;black marbles. If a marble is selected at random, find the probability that it;is white or black.;A.2/15;B.2/3;C.1/5;D.2/5;Reset Selection;Part 3 of 9 -;Question 4 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;Find P(X 3);A.0.15;B.0.85;C.0.80;D.0.20;Question 5 of 25 1.0;Points;A pet supplier has a stock of parakeets of which 10% are;blue parakeets. A pet store orders 3 parakeets from this supplier. If the;supplier selects the parakeets at random, what is the chance that the pet store;gets exactly one blue parakeet?;A.0.081;B.0.243;C.0.027;D.0.003;Reset Selection;Question 6 of 25 1.0;Points;Suppose that 50 identical batteries are being tested. After;8 hours of continuous use, assume that a given battery is still operating with;a probability of 0.70 and has failed with a probability of 0.30.;What is the probability that between 25 and 30 batteries;(inclusive) will last at least 8 hours?;A.0.9169;B.0.1186;C.0.7792;D.0.0839;Reset Selection;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.splits the;distribution to two curves;C.makes the curve;more robust;D.shifts the curve;left or right;Reset Selection;Question 8 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.central limit;theorem;C.central tendency;theorem;D.point estimate;theorem;Reset Selection;Question 9 of 25 1.0;Points;The normal distribution is;A.a binomial;distribution with only one parameter;B.the single most;important distribution in statistics;C.a discrete;distribution;D.a density function;of a discrete random variable;Reset Selection;Question 10 of 25 1.0;Points;The standard deviation of is usually called the;THIS LINE ABOVE IS INCOMPLETE, MY ANS IS BASED ON A GUESS;A.standard error of;the sample;B.standard error of;the population;C.standard error of;the mean;D.randomized;standard error;Reset Selection;Question 11 of 25 1.0;Points;The continuous distribution characterized by a symmetric;bell-shaped curve is the;A.binomial;distribution;B.Poisson;distribution;C.exponential;distribution;D.normal;distribution;Reset Selection;Question 12 of 25 1.0;Points;The mean of a probability distribution is a;A. measure of;variability of the distribution;B. measure of;central location;C. measure of;relative likelihood;D. measure of;skewness of the distribution;Reset Selection;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.;A sample of 150 students at a State University was taken;after the final business statistics exam to ask them whether they went partying;the weekend before the final or spent the weekend studying, and whether they;did well or poorly on the final. The following table contains the result.;Did Well in Exam Did Poorly in Exam;Studying for Exam 60 15;Went Partying 22 53;Of those in the sample who went partying the weekend before;the final exam, what percentage of them did well in the exam? Place your answer in the blank, rounded to 2;decimal places. Do not use a percentage sign (%). For example, 44.44 would be a;legitmate answer.;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.;It has been observed that electrical connectors manufactured;by Jolt Electrical Supply Company last an average of 18.2 months and follow a;normal distribution with a standard deviation of 1.7 months. Jolt agrees to;replace any connector that fails within 19 months. Out of 500 connectors sold;how many does Jolt expect to replace, on average? Place your answer, rounded to;the nearest whole number, in the blank. For example, 123 would be a legitimate;answer.;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.;Ann is applying for a bank loan to open a pizza franchise.;She must first complete a written application and then, if the written;application is approved, be interviewed by bank officers. If an applicant?s;written application is not approved the applicant is not granted an interview;with the bank officers. Past records for this bank show that the probability of;an applicant having his or her written application approved is 0.63. Records;also indicate that the interviewing committee of bank officers approves 85% of;the individuals they interview. Find the probability that Ann?s loan request is;approved. Place your answer, rounded to 2 decimal places, in the blank. For;example, 0.76 would be a legitimate entry.;Question 16 of 25____________1.0 PointsAccepted 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, aperiod 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.An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the salesare chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. Thepercentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. Fora randomly selected sale, define the following events:1 = chocolate chosen2 = strawberry chosen3= vanilla chosen= ice cream on a cone= ice cream in a cupFind the probability that the ice cream was vanilla flavor, given that it was sold on a cone. Placeyour answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry.______________Part 7 of 9 Question 17 of 251.0 PointsAccepted 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, aperiod 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 a marketing firm sends questionnaires to two different companies. Based on historicalevidence, the marketing research firm believes that each company, independently of the other, will returnthe questionnaire with a probability of 0.30. What is the probability that both questionnaires will bereturned? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimateentry._________________Part 8 of 9 Question 18 of 251.0 PointsAccepted 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, aperiod 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, andthat the standard deviation for the weekly earnings for such employees is $50. A sample of 100 suchemployees is selected at random.Find probability that the mean of the sample is less than $445. Place your answer, rounded to 4 decimalplaces, in the blank. For example, 0.2345 would be a legitimate entry._______________Question 19 of 251.0 PointsAccepted 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, aperiod 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 amean of 73 and a standard deviation of 8.What is the probability of getting a score of 68 or less on this exam? Place your answer, rounded to 4decimal places in the blank. For example, 0.3456 would be a legitimate entry.____________Question 20 of 251.0 PointsAccepted 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, aperiod 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, andthat the standard deviation for the weekly earnings for such employees is $50. A sample of 100 suchemployees is selected at random.Find the probability that the mean of the sample is greater than $460. Place your answer, rounded to 4decimal places, in the blank. For example, 0.2345 would be a legitimate answer.____________Question 21 of 251.0 PointsAccepted 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, aperiod 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 Wendy?s fast-food restaurant sells hamburgers and chicken sandwiches. On a typical weekday, thedemand for hamburgers is normally distributed with a mean of 450 and standard deviation of 80 and thedemand for chicken sandwiches is normally distributed with a mean of 120 and standard deviation of 30.How many hamburgers must the restaurant stock to be 99% sure of not running out on a given day? Placeyou answer, rounded to the nearest whole number in the blank. For example, 345 would be a legitimateentry.Question 22 of 25_________________1.0 PointsAccepted 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, aperiod 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, andthat the standard deviation for the weekly earnings for such employees is $50. A sample of 100 suchemployees is selected at random. ____________Find the standard deviation of the sampling distribution of the means of average weekly earnings forsamples of size 100. Place your answer in the blank. Do not include a dollar sign. For example, 7 would bea legitimate entry.___________________Question 23 of 251.0 PointsAccepted 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, aperiod 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 manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption ismound shaped and symmetric with a mean of 25.9 mpg and a standard deviation of 9.5 mpg. If 30 suchcars are tested, what is the probability the average mpg achieved by these 30 cars will be greater than 28?Place your answer, rounded to 4 decimal places, in the blank.___________Part 9 of 9 Question 24 of 251.0 PointsUsing the standard normal curve, the Z- score representing the 99th percentile is 2.326.TrueFalseReset SelectionQuestion 25 of 251.0 PointsUsing the standard normal curve, the Z- score representing the 10th percentile is 1.28.TrueFalseReset SelectionHide preview

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