MATH 302 Final Exam 2

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MATH 302 Final Exam 2 MATH 302 Final Exam 2 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 Answer Key: A Question 2 of 23 1.0/ 1.0 Points The chi-square goodness-of-fit test can be used to test for: A.significance of sample statistics B.difference between population variances C.normality D.difference between population means Answer Key: C Part 2 of 16 - 3.0/ 3.0 Points Question 3 of 23 1.0/ 1.0 Points In choosing the “best-fitting” line through a set of points in linear regression, we choose the one with the: A.smallest sum of squared residuals B.smallest number of outliers C.largest number of points on the line D.largest sum of squared residuals Answer Key: A Question 4 of 23 1.0/ 1.0 Points An agent for a residential real estate company in a large city would like to be able to predict the monthly rental cost of apartments based on the size of the apartment. Data for a sample of 25 apartments in a particular neighborhood are provided in the worksheet Apartments in the Excel workbook Apartments.xlsx. Apartments.xlsx At the .05 level of significance determine if the correlation between rental cost and apartment size is significant. A.No, there is not a statistically significant linear relationship between monthly rental cost and apartment size, because the sample correlation coefficient is less than .95. B.Yes, there is a statistically significant linear relationship between monthly rental cost and apartment size, because the sample correlation coefficient 0.85 exceeds 0.50. C.Yes, there is a statistically significant linear relationship between monthly rental cost and apartment size, because the t-test value, 7.74, is greater than the critical value 1.96. D.Yes, there is a statistically significant linear relationship between monthly rental cost and apartment size, because the p-value for this test is less than .0001. Answer Key: D Question 5 of 23 1.0/ 1.0 Points A single variable X can explain a large percentage of the variation in some other variable Y when the two variables are: A.mutually exclusive B.directly related C.highly correlated D.inversely related Answer Key: C Part 3 of 16 - 2.0/ 2.0 Points Question 6 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 of 2.54 B.Yes, because the test value 0.390 is less than the critical value 2.54 C.No, because the test value 1.60 is less than the critical value of 2.54 D.Yes, because the test value 2.56 is greater than the critical value 0.394 Answer Key: A Question 7 of 23 1.0/ 1.0 Points An investor wants to compare the risks associated with two different stocks. One way to measure the risk of a given stock is to measure the variation in the stock’s daily price changes. In an effort to test the claim that the variance in the daily stock price changes for stock 1 is different from the variance in the daily stock price changes for stock 2, the investor obtains a random sample of 21 daily price changes for stock 1 and 21 daily price changes for stock 2. The summary statistics associated with these samples are: n1 = 21, s1 = .725, n2 = 21, s2 = .529. If you compute the test value by placing the larger variance in the numerator, at the .05 level of significance, would you conclude that the risks associated with these two stocks are different? A.No, the test value of 1.879 does not exceed the critical value of 2.46 B.Yes, the p-value associated with this test is 0.0264 C.No, the p-value associated with this test is 0.0528 D.No, the test value of 1.371 does not exceed the critical value of 2.12 Answer Key: A .......continued [Show More]

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