MATH302 Final Exam practice questions with correct answers 2021

MATH302 Final Exam practice questions with correct answers 2021 Part 1 of 16 - 2.0/ 2.0 Points Question 1 of 23 1.0/ 1.0 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 Question 2 of 23 1.0/ 1.0 Points A 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.     Machine Shift A B C D 1 41 20 12 16 2 31 11 9 14 3 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. Part 2 of 16 - 3.0/ 3.0 Points Question 3 of 23 1.0/ 1.0 Points In a simple linear regression analysis, the following sum of squares are produced:  = 400 = 80 = 320 The proportion of the variation in Y that is explained by the variation in X is:  A.50%  B.80%  C.20%  D.25% Question 4 of 23 1.0/ 1.0 Points ____________ is/are especially helpful in identifying outliers.  A.Linear regression  B.Normal curves  C.Scatterplots  D.Regression analysis Question 5 of 23 1.0/ 1.0 Points         Data for a sample of 25 apartments in a particular neighborhood are provided in the worksheet Apartments in the Excel workbook A.  Using that data, find the estimated regression equation which can be used to estimate the monthly rent for apartments in this neighborhood using size as the predictor variable. A  A.     177.12 + 1.065(size)  B. 1.065 + 177.12(size)  C. 177.12 + 0.8500(size)  D. 197.12 + 2.065(size) Part 3 of 16 - 2.0/ 2.0 Points Question 6 of 23 1.0/ 1.0 Points Multiple 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 7 Before 158 189 202 353 416 426 441 After 284 214 101 227 290 176 290 Perform an appropriate test of hypothesis to determine if there is evidence, at the .05 level of significance, to support the claim that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant? What is the value of the sample test statistic?  A.t = 2.7234  B.t = 1.8424  C.p = 2.7234  D.z = 1.8424 Question 7 of 23 1.0/ 1.0 Points Serum ferritin is used in diagnosing iron deficiency. In a study conducted recently researchers discovered that in a sample of 28 elderly men the sample standard deviation of serum ferritin was 52.6 mg/L. For 26 younger men the sample standard deviation was 84.2 mg/L. At the .01 level of significance, do these data support the conclusion that the ferritin distribution in elderly men has a smaller variance than in younger men?  A.Yes, because the test value 2.56 is greater than the critical value 0.394  B.No, because the test value 1.60 is less than the critical value of 2.54  C.Yes, because the test value 2.56 is greater than the critical value of 2.54  D.Yes, because the test value 0.390 is less than the critical value 2.54 Part 4 of 16 - 3.0/ 3.0 Points Question 8 of 23 1.0/ 1.0 Points Smaller p-values indicate more evidence in support of the:  A.null hypothesis  B.the reduction of variance  C.alternative hypothesis  D.quality of the researcher Question 9 of 23 1.0/ 1.0 Points Suppose that the mean time for a certain car to go from 0 to 60 miles per hour was 7.7 seconds. Suppose that you want to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer than 7.7 seconds. What would you use for the alternative hypothesis?  A.H1:  < 7.7 seconds  B.H1:   = 7.7 seconds  C.H1:  7.7 seconds  D.H1:   > 7.7 seconds Question 10 of 23 1.0/ 1.0 Points In 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. Compute the z or t value of the sample test statistic.   A.t = 1.916  B.t = -1.916  C.z = 1.645  D.z = 1.916 Part 5 of 16 - 2.0/ 2.0 Points Question 11 of 23 1.0/ 1.0 Points In a study of elephants a researcher wishes to determine the average weight of a certain subspecies of elephants. From previous studies, the standard deviation of the weights of elephants in this subspecies is known to be 1500 pounds. How many elephants does the researcher need to weigh so that he can be 80% confident that the average weight of elephants in his sample is within 350 pounds of the true average weight for this subspecies?  A.39  B.31  C.50  D.166 Question 12 of 23 1.0/ 1.0 Points The upper limit of the 90% confidence interval for the population proportion p, given that n = 100; and     = 0.20 is  A.0.2658  B.0.5316  C.0.7342  D.0.4684 Part 6 of 16 - 0.0/ 1.0 Points Question 13 of 23 0.0/ 1.0 Points If the value of the standard normal random variable Z is positive, then the original score is where in relationship to the mean?  A.to the left of the mean  B.equal to the mean  C.to the right of the mean  D.one standard deviation higher than the mean Comment: to the right of the mean Part 7 of 16 - 1.0/ 1.0 Points Question 14 of 23 1.0/ 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.0.7792  B.0.0839  C.0.9169  D.0.1186 Part 8 of 16 - 1.0/ 1.0 Points Question 15 of 23 1.0/ 1.0 Points Sue has 10 pictures but only has space in her apartment to hang 4 of them on a wall. The number of different arrangements of four pictures from a selection of ten pictures is:  A.24  B.210  C.5,040  D.151,200 Part 9 of 16 - 3.0/ 3.0 Points Question 16 of 23 3.0/ 3.0 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 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. Sport Preferences of Men and Women   Basketball Football Soccer   Men 20 25 30 75 Women 18 12 15 45   38 37 45 120 What is the test value for this hypothesis test? Answer:    2.32  Round your answer to two decimal places. What is the critical value for this hypothesis test?  Answer:   5.99   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:   2   Enter only a 1 or 2 for your answer. Part 10 of 16 - 1.0/ 1.0 Points Question 17 of 23 1.0/ 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 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 Based on these data, what are the least squares regression coefficients of the Y-intercept (a) and slope (b)? Place your answers, rounded to 3 decimal places , in the blanks provided. Part 11 of 16 - 0.0/ 1.0 Points Question 18 of 23 0.0/ 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.  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 Comment: 1.721 Part 12 of 16 - 1.0/ 1.0 Points Question 19 of 23 1.0/ 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 68 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 Part 13 of 16 - 1.0/ 1.0 Points Question 20 of 23 1.0/ 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 9 production managers with over 15 years of experience has an average salary of $71,000 and a sample standard deviation of $18,000.  Assuming that the salaries of production managers with over 15 years experience are normally distributed, you can be 95% confident that the mean salary for all production managers with at least 15 years of experience is between what two numbers.  Place your LOWER limit, rounded to a whole number, in the first blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 54321 would be a legitimate entry.  57164 . Place your UPPER limit, rounded to a whole number, in the second blank. Do not use a dollar sign, a comma, or any other stray mark. For example, 65432 would be a legitimate Part 14 of 16 - 0.0/ 1.0 Points Question 21 of 23 0.0/ 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 What is the expected value of X? Place your answer, rounded to two decimal places in the blank. For example, 4.56 would be a legitimate entry Comment: 1.14 Part 15 of 16 - 1.0/ 1.0 Points Question 22 of 23 1.0/ 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 a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below. Test of H0:   1500 versus H1:   > 1500 Sample mean 1509.5 Sample standard deviation 24.27 What is the test value that you would use to conduct this test? Place your answer, rounded to 3 decimal places in the blank. For example, 1.234 would be a legitimate entry. 1.957  Part 16 of 16 - 0.0/ 1.0 Points Question 23 of 23 0.0/ 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.  Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:                                                           Number of Vehicles Involved Did alcohol play a role? 1 2 3 Yes 60 110 30 200 No 40 215 45 300   100 325 75 Given alcohol was involved, what proportion of accidents involved a single vehicle? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry