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##### Math 302 Final Exam Statistics

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Question;Final Exam_MATH302;Hide/Show Time Remaining;Part 1 of 16 -;Question 1 of 231.0 Points;The data presented in the table below resulted from an experiment in which seeds of 5 different types were planted and;the number of seeds that germinated within 5 weeks after planting was recorded for each seed type. At the.01;level of significance, is the proportion of seeds that germinate dependent on the seed type?;Seed Type;Observed Frequencies;Germinated Failed to Germinate;1 31 7;2 57 33;3 87 60;4 52 44;5 10 19;A.Yes, because the test value 16.86 is greater than the critical value of 13.28;B.Yes, because the test value 16.86 is less than the critical value of 14.86;C.No, because the test value 16.86 is greater than the critical value of 13.28;D.No, because the test value 13.28 is less than the critical value of 16.86;Reset Selection;Question 2 of 231.0 Points;The chi-square goodness-of-fit test can be used to test for;A.normality;B.significance of sample statistics;C.difference between population variances;D.difference between population means;Reset Selection;Part 2 of 16 -;Question 3 of 231.0 Points;A single variable X can explain a large percentage of the variation in some other variable Y when the two variables are;A.highly correlated;B.directly related;C.mutually exclusive;D.inversely related;Reset Selection;1.0 Points;Question 4 of 23;The standard error of the estimate, sest, is essentially the;A.standard deviation of the explanatory variable;B.mean of the explanatory variable;C.mean of the residuals;D.standard deviation of the residuals;Reset Selection;Question 5 of 231.0 Points;In regression analysis, the variable we are trying to explain or predict is called the;A.regression variable;B.dependent variable;C.residual variable;D.independent variable;Reset Selection;Part 3 of 16 -;Question 6 of 231.0 Points;Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of money;spent by its female charge customers differs, on average, from the amount spent by its male charge customers.;To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Based;on these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customers;spent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and the;sample standard deviation of the amount charged by the 22 men was $59.695.;Using the procedure advocated by Bluman, at the 10% level of significance, is there sufficient evidence for Q-Mart to;conclude that, on average, the amount spent by women charge customers differs from the amount spent by men;charge customers.;A.No, the p-value of this test is less than 0.10.;B.Yes, the test value does not exceed the critical value;C.No, the test value does not exceed the critical value.;D.Yes, the p-value of this test is greater than 0.10;Reset Selection;Question 7 of 231.0 Points;Two independent samples of sizes n1= 50 and n2= 50 are randomly selected from two populations to test the;difference between the population means,. The sampling distribution of the sample mean;difference, is;A.normally distributed;B.chi-squared distributed with 99 degrees of freedom;C.approximately normal;D.t - distributed with 98 degrees of freedom;Reset Selection;Part 4 of 16 -;Question 8 of 231.0 Points;You conduct a hypothesis test and you observe values for the sample mean and sample standard deviation when n =;25 that do not lead to the rejection of H0. You calculate a p-value of 0.0667. What will happen to the p-value if you;observe the same sample mean and standard deviation for a sample size larger than 25?;A.The p ? value decreases;B.The p ? value stays the same;C.The p ? value increases;D.The p ? value may increase or decrease;Reset Selection;Question 9 of 231.0 Points;Results from previous studies showed 79% of all high school seniors from a certain city;plan to attend college after graduation. A random sample of 200 high school seniors from;this city reveals that 162 plan to attend college. Does this indicate that the percentage has;increased from that of previous studies? Test at the 5% level of significance.;Compute the z or t value of the sample test statistic.;A.t = 1.645;B.z = 0.69;C.z = 0.62;D.z = 1.96;Reset Selection;Question 10 of 231.0 Points;In an article appearing inToday?s Healtha writer states that the average number of calories in a serving of popcorn is;75. To determine if the average number of calories in a serving of popcorn is different from 75, a nutritionist selected a;random sample of 20 servings of popcorn and computed the sample mean number of calories per serving to be 78 with;a sample standard deviation of 7.;State the null and alternative hypotheses.;A.H0: = 75, H1:?75;B.H0: = 75, H1: > 75;C.H0: 75, H1: 75;Reset Selection;Part 5 of 16 -;Question 11 of 23;1.0 Points;A previous study of nickels showed that the standard deviation of the weight of nickels is 150 milligrams. How many;nickels does a coin counter manufacturer need to weigh so that she can be 98% confident that her sample mean is;within 25 milligrams of the true average weight of a nickel?;A.36;B.196;C.239;D.139;Reset Selection;Question 12 of 231.0 Points;From a sample of 500 items, 30 were found to be defective. The point estimate of the population proportion defective;will be;A..06;B.0.60;C.30;D.16.667;Reset Selection;Part 6 of 16 -;Question 13 of 231.0 Points;The mean of a probability distribution is a;A.measure of relative likelihood;B.measure of variability of the distribution;C.measure of central location;D.measure of skewness of the distribution;Reset Selection;Part 7 of 16 -;Question 14 of 231.0 Points;If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of;three, he wins $20. The cost to play the game is $5. What is the expectation of this;game?;A.$3.06;B.-$2.78;C.-$3.06;D.$2.78;Reset Selection;Part 8 of 16 -;Question 15 of 231.0 Points;A furniture manufacturer offers bookcases in 5 different sizes and 3 different colors. If every color is available in every;size, then the total number of different bookcases is;A.5;B.8;C.15;D.30;Reset Selection;Part 9 of 16 -;Question 16 of 233.0 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.;Staples, a chain of large office supply stores, sells a line of desktop and laptop computers. Company;executives want to know whether the demands for these two types of computers are dependent on one;another. Each day's demand for each type of computers is categorized as Low, Medium-Low, Medium-;High, or High. The data shown in the table below is based on 200 days of operation. Based on these data;can Staples conclude that demands for these two types of computers are independent? Test at the 5% level;of significance.;desktops;low med-low med-high high;low 3 14 14 4 35;laptopsmed-low 6 18 17 22 63;med-high 13 16 11 16 56;high 8 14 15 9 46;30 62 57 51 200;What is the test value for this hypothesis test?;Answer: Round your answer to two decimal places.;What is the critical value for this hypothesis test?;Answer: Round your answer to two decimal places.;What is the conclusion for this hypothesis test? Choose one.;1. At the.05 level of significance, Staples can concludethat demands for these two types of computers are;independent.;2. At the.05 level of significance, Staples can concludethat demands for these two types of computers are;dependent.;Answer: Enter only a 1 or 2 for your answer.;Part 10 of 16 -;Question 17 of 231.0 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 marketing manager of a large supermarket chain would like to determine the effect of shelf space (in;feet) on the weekly sales of international food (in hundreds of dollars). A random sample of 12 equal ?sized;stores is selected, with the following results;Store Shelf Space(X) Weekly Sales(Y);1 10 2.0;2 10 2.6;3 10 1.8;4 15 2.3;5 15 2.8;6 15 3.0;7 20 2.7;8 20 3.1;9 20 3.2;10 25 3.0;11 25 3.3;12 25 3.5;Using the equation of the regression line for these data, predict the average weekly sales (in;hundreds of dollars) of international food for stores with 13 feet of shelf space for international food.;Place your answer, rounded to 3 decimal places, in the blank. Do not use a dollar sign. For;example, 2.345 would be a legitimate entry.;Part 11 of 16 -;Question 18 of 231.0 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.;Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of money;spent by its female charge customers differs, on average, from the amount spent by its male charge customers.;To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Based;on these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customers;spent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and the;sample standard deviation of the amount charged by the 22 men was $59.695.;Suppose, using a 10% level of significance, you wish to know if there is sufficient evidence for Q-Mart to conclude that;on average, the amount spent by women charge customers differs from the amount spent by men charge customers.;That is suppose you wish to test;H0: versus H1;Assuming that the amounts spent by female and male charge customers at Q-Mart are normally distributed, based on;the procedure advocated by Bluman, what is/are the critical values that you would use to conduct this test of;hypothesis? Place your answer, rounded to 3 decimal places, in the blank. If there are two critical values, place only the;positive value in the blank. For example, 2.035 would be a legitimate entry.;Part 12 of 16 -;Question 19 of 231.0 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.;Mrs. Smith's reading class can read a mean of 175 words per minute with a standard;deviation of 20 words per minute. The top 3% of the class is to receive a special award.;Assuming that the distribution of words read per minute are normally distributed, what is;the minimum number of words per minute a student would have to read in order to get the;award? Place your answer,rounded to the nearest whole number, in the;blank. When entering your answer do not use any labels or;symbols. Simply provide the numerical value. For example, 123 would be a legitimate;entry.;Part 13 of 16 -;Question 20 of 231.0 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 manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is moundshaped;and symmetric with a mean of 24.6 mpg and a standard deviation of 11.2 mpg. If 30 such cars are tested, what;is the probability the average mpg achieved by these 30 cars will be greater than 27?;Answer: Round your answer to 4 decimal places as necessary. For example, 0.1357 would be a;legitimate entry.;Part 14 of 16 -;Question 21 of 231.0 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.;Find the expected value of the following probability distribution.;X 1 2 3 4 5;P(X) 0.05 0.20 0.35 0.25 0.15;Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry.;Expected value =;Part 15 of 16 -;Question 22 of 231.0 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 survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop;determines that of 240 customers, 18 customers stated their preference for mint chocolate chip.;Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has;increased at a 5% level of significance.;P-value: Round your answer to four decimal places as necessary.;Part 16 of 16 -;Question 23 of 231.0 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 jar contains four white marbles, five red marbles, and six black marbles. If a marble was selected at random, find the;probability that it is white or black. Place your answer, rounded to 2 decimal places in the blank. For example 0.23;would be a legitimate entry.;Save

Paper#62146 | Written in 18-Jul-2015

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