STATS Assignment 2016

| April 14, 2018

Question 1 of 23 1.0 PointsThe 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 Germinate1 31 72 57 333 87 604 52 445 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 16.86Reset SelectionQuestion 2 of 23 1.0 PointsA company operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift. MachineShift A B C D1 41 20 12 162 31 11 9 143 15 17 16 10 A.The number of breakdowns is dependent on the shift, because the test value 11.649 is less than the critical value of 12.592. B.The claim that the number of breakdowns is independent of the shift cannot be rejected, because the test value 11.649 is less than the critical value of 12.592. C.The number of breakdowns is dependent on the shift, because the p-value is .07. D.The number of breakdowns is independent of the shift, because the test value 12.592 is greater than the critical value of 11.649.Reset SelectionPart 2 of 16 -Question 3 of 23 1.0 PointsIn a simple linear regression analysis, the following sum of squares are produced:= 400= 80= 320The proportion of the variation in Y that is explained by the variation in X is: A.20% B.25% C.50% D.80%Reset SelectionQuestion 4 of 23 1.0 PointsThe marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 12 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. . Store 1 2 3 4 5 6Shelf Space 5 5 5 10 10 10Weekly Sales 1.6 2.2 1.4 1.9 2.4 2.6 Store 7 8 9 10 11 12Shelf Space 15 15 15 20 20 20Weekly Sales 2.3 2.7 2.8 2.6 2.9 3.1Compute the value of the sample correlation coefficient between weekly sales and shelf space. A.0.684 B.0.652 C.0.827 D.0.308Reset SelectionQuestion 5 of 23 1.0 PointsA single variable X can explain a large percentage of the variation in some other variable Y when the two variables are: A.mutually exclusive B.inversely related C.highly correlated D.directly relatedReset SelectionPart 3 of 16 -Question 6 of 23 1.0 PointsTwo teams of workers assemble automobile engines at a manufacturing plant in Michigan. A randomsample of 145 assemblies from team 1 shows 15 unacceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 8 unacceptable assemblies.Is there sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies? A.No, since the test value does not exceed the critical value B.Yes, since the p-value is greater than 0.10 C.No, since the p-value is less than 0.10 D.No, since the test value exceeds the critical valueReset SelectionQuestion 7 of 23 1.0 PointsMultiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response. Patient 1 2 3 4 5 6 7Before 158 189 202 353 416 426 441After 284 214 101 227 290 176 290At the .01 level of significance, is there sufficient evidence to conclude that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant? A.No B.Yes C.Cannot DetermineReset SelectionPart 4 of 16 -Question 8 of 23 1.0 PointsIn an article appearing in Today’s Health a 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.At the a = .05 level of significance, does the nutritionist have enough evidence to reject the writer’s claim? A.No B.Yes C.Cannot DetermineReset SelectionQuestion 9 of 23 1.0 Points A lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician’s accuracy is within the target accuracy?At the a = .01 level of significance, what is your conclusion? A.Reject H0. At the = .01 level of significance, there is enough evidence to support the claim that this technician’s variance is larger than the target accuracy. B.Cannot determine C. Reject H0. At the = .01 level of significance, there is not enough evidence to support the claim that this technician’s true variance is larger than the target accuracy. D.Do not reject H0. At the = .01 level of significance there is not sufficient evidence to suggest that this technician’s true variance is greater than the target accuracy. Reset SelectionQuestion 10 of 23 1.0 PointsA lab technician is tested for her consistency by taking multiple measurements of cholesterol levels from the same blood sample. The target accuracy is a variance in measurements of 1.2 or less. If the lab technician takes 16 measurements and the variance of the measurements in the sample is 2.2, does this provide enough evidence to reject the claim that the lab technician’s accuracy is within the target accuracy?Compute the value of the appropriate test statistic. A.t = 27.50 B.= 27.50 C.z = 1.65 D. = 30.58Reset SelectionPart 5 of 16 -Question 11 of 23 1.0 PointsCompute where t15 has a t-distribution with 15 degrees of freedom. A.0.96803 B.0.03197 C.0.7639 D.0.93606Reset SelectionQuestion 12 of 23 1.0 PointsIf you increase the confidence level, the confidence interval ____________. A.stays the same B.may increase or decrease, depending on the sample data C.increases D.decreasesReset SelectionPart 6 of 16 -Question 13 of 23 1.0 PointsThe standard deviation of a probability distribution must be: A.a number between 0 and 1 B.a negative number C.a nonnegative number D.less than the value of the meanReset SelectionPart 7 of 16 -Question 14 of 23 1.0 PointsFind the variance of the following probability distribution.X P(X)1 0.202 0.153 0.254 0.255 0.15 A.1.34 B.1.8 C.0.48 D.1.16Reset SelectionPart 8 of 16 -Question 15 of 23 1.0 PointsIf A and B are any two events with P(A) = .8 and then is: A..24 B.0.14 C.0.56 D.0.875Reset SelectionPart 9 of 16 -Question 16 of 23 3.0 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, 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 sport preference poll yielded the following data for men and women. Use a 5% significance level and test to determine if sport preference and gender are independent.20 25 30 7518 12 15 4538 37 45 120What 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. There is sufficient evidence to support the claim that one’s sport preference is dependent on one’s gender.2. There is not sufficient evidence to support the claim that one’s sport preference is dependent on one’s gender.Answer: Enter only a 1 or 2 for your answer.Part 10 of 16 -Question 17 of 23 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, 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 company has observed that there is a linear relationship between indirect labor expense (ILE) , in dollars, and direct labor hours (DLH). Data for direct labor hours and indirect labor expense for 18 months are given in the file ILE_and_DLH.xlsxTreating ILE as the response variable, use regression to fit a straight line to all 18 data points.Approximately what percentage of the variation in indirect labor expenses is explained by the regression model you derived?Place your answer, rounded to 1 decimal place, in the blank. Do not use any stray punctuation marks or a percentage sign. For example, 78.9 would be a legitimate entry. Part 11 of 16 -Question 18 of 23 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, 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 testH0: versus H1:Assuming that the amounts spent by male and female charge customers at Q-Mart are normally distributed, based on the procedure advocated by Bluman, what is the test value that you would use to conduct this test of hypothesis? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.123 would be a legitimate entry. Part 12 of 16 -Question 19 of 23 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, 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. Part 13 of 16 -Question 20 of 23 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, 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.Senior management of a consulting services firm is concerned about a growing decline in the firm’s weekly number of billable hours. The firm expects each professional employee to spend at least 40 hours per week on work. In an effort to understand this problem better, management would like to estimate the standard deviation of the number of hours their employees spend on work-related activities in a typical week. Rather than reviewing the records of all the firm’s full-time employees, the management randomly selected a sample of size 51 from the available frame. The sample mean and sample standard deviations were 48.5 and 7.5 hours, respectively.Construct a 90% confidence interval for the standard deviation of the number of hours this firm’s employees spend on work-related activities in a typical week.Place your LOWER limit, in hours, rounded to 1 decimal place, in the first blank. For example, 6.7 would be a legitimate entry. Place your UPPER limit, in hours, rounded to 1 decimal place, in the second blank. For example, 12.3 would be a legitimate entry. Part 14 of 16 -Question 21 of 23 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, 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 6P (X=x) 0.55 0.15 0.10 0.10 0.04 0.03 0.03Find P(X > 0). Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate entry.Part 15 of 16 -Question 22 of 23 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, 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.Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution with = 2.8%. A random sample of 16 Australian bank stocks has a sample mean dividend yield of 8.91%. For the entire Australian stock market, the mean dividend yield is = 6.4%. If you wanted to test, at a .05 level of significance, to determine if these data indicate that the dividend yield of all Australian bank stocks is higher than 6.4% what is the critical value that you would use? Place your answer, rounded to 2 decimal places, in the blank. For example, 2.34 would be a legitimate entry. Part 16 of 16 -Question 23 of 23 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, 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 probability experiment has two steps. There are two possible results for the first step, call them “A” and “B”. If the result for the first step was “A”, then there would be 4 possible results for the second step. If the result for the first step was “B”, then there would be 16 possible results for the second step. How many possible outcomes are there for this experiment? Place your answer in the blank. Do not use any decimal point or comma. For example, 45 would be a legitimate entry.

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