A. There is insufficient information to decide whether the depths are different.B. Fail to reject H0, conclude there is insufficient evidence to indicate that there is a difference in the mean depth of discovery among the four sites.*C. Fail to reject H0, conclude the mean depth of discovery at the four sites are all different.D. Reject H0, conclude the mean depth of discovery at the four sites is different.E. Reject H0, conclude the mean depth of discovery at the four sites is different are equal.A. μ > 120B. μ ≠ 120C. μ < 120D. μ = 120*E. μ < 120A. 116.11B. 110.95C. 6.72D. 2.548E. 1.74*COURSE: DSCI 3710 Print Name: Exam 2 – version A Signature: Spring – 2014 Student ID#: INSTRUCTIONS:- Please print your name and student ID number on this exam. Also, put your sig-nature on this exam.- On your scantron PRINT your name and exam version and fill in your student ID number. To better protect your privacy also print your name on the backside of your scantron.- You have 75 minutes to complete this 25 question-exam. The exam is open book, open notes, and open mind. You may use any type of hand calculator but please show all your work on the exam and mark all answers on the scantron. Us-age of cell phones, digital cameras, PDAs, instant messenger, or any other communication device is strictly prohibited.- Please DO NOT pull this exam apart. When you have completed the exam, pleaseturn in your scantron and exam booklet to your instructor, at the front desk.- No cheating.- Good luck and we wish you well on the examNote: (1) Whenever question(s) are connected you may be asked to assume a result (given avalue) as an answer for the previous question but this result (value) may or may not be correct. The procedure is set in place to prevent you from losing points on a subsequent question because you made a mistake on some previous question/s.(2) It may not be necessary to compute all the missing values in the partially filled Tables; please read the questions and compute only the ones you must, to answer those questions.Use the following information to answer questions 1 - 7.An instructor of one of the sections in DSCI 3710 would like to predict a student’s final exam score (in points) based on the amount of time (in hours) spent in studying. A (partial) simple lin-ear regression of the data follows:1Regression Statistics Multiple RXXX R SquareXXX Adjusted R SquareXXX Standard Error39.944 Observations9 ANOVA df SS MS FSignificanceF Regression 1 2607.4589 XXXX XXXX XXXX Residual X XXXX XXXX Total 8 13776.0000 Coefficients SE t StatP-value Lower 95%Upper95%Intercept 134.0034 32.0932 4.1754 XXXX 58.1150 XXXXTime (Hours) 6.3390 4.9587 XXXX XXXX XXXX 18.0644 Durbin-Watson statistic = 2.816668 RESIDUAL OUT-PUT ObservationStandard-ized Residu-als Leverages 1 0.950 0.166 2 -1.814 0.344 3 0.489 0.123 4 0.028 0.260 5 -0.374 0.240 6 0.955 0.111 7 0.726 0.260 8 -1.939 0.372 9 0.489 0.1231. What is the correlation (R) between these two variables?A. 0.05B. 0.08C. 0.19D. 0.44* E. 0.652. What is the calculated t statistic for the test of the coefficient of the variable “Time”?A. 3.84B. 2.86C. 1.28*D. 0.96E. 0.783. What is the critical value (absolute) of the test statistic for testing (t-test) the significance of “Time” at the 0.05 level of significance?A. 1.895B. 2.306C. 1.860D. 2.365*E. 1.9654. What percentage of the Final exam score is explained by its regression on Time spent on studying?A. 5%B. 8%C. 19%*D. 44%E. 65%5. Are there any outliers in this data set?A. None, because all leverage values are within +/- 3 B. None, because all Cook’s distance values are within +/- 3 C. None, because all standardized residual values are within +/- 2 *D. One, since one value of the Cook’s distance is greater than 1 E. One, since one value of leverage is greater than 0.3526. What seems to be the effect of studying for one extra hour (regardless of significance)?A. The final exam score would increase by 6.34 points *B. The final exam score would decrease by 6.34 points C. The final exam score would increase by 40.12 points D. The final exam score would increase by 134.00 points E. The final exam score would decrease by 134.00 points 7. What is the predicted exam score for the fifth observation?A. 153.0*B. 159.4C. 165.7D. 172.0E. 178.4Use the following to answer the questions 8 - 11.In a research study published in 1963, students in grades 4-6 were asked whether good grades, athletic ability, or popularity was most important to them. The table below provides a classifica-tion of the 335 students by Goals and Grade Classification. Do the data present sufficient evi-dence to indicate that student goals depend on their grade classification?Source: Adapted from Chase, M.A and Dummer, G.M. (1992), "The Role of Sports as a Social Determinant for Children," Re-search Quarterly for Exercise and Sport, 63, 418-424.8. What is the alternative hypothesis?A. Ha: Goals is greater than Grade ClassificationB. Ha: Goals is less than Grade ClassificationC. Ha: Goals and Grade Classification are dependent *D. Ha: Goals and Grade Classification are independentE. None of the above39. What is the expected number of children in the 5th grade that “Sports” is the most important to them?A. 18.9B. 22.2*C. 26.9D. 31.6E. 46.110. Suppose the value of the test statistic is 10.46. Which one of the following would best de-scribe the p-value of the test?A. p > 0.10B. p < 0.01C. 0.05 < p < 0.10D. 0.025 < p < 0.05*E. 0.01 < p < 0.02511. Assuming the p-value is 0.074, what would be the decision at the 0.05 significance level?A. Reject Ho and conclude that Goals and Grade Classification are dependentB. Reject Ho and conclude Goals and Grade Classification are independent C. Fail to Reject Ho and conclude that Goals and Grade Classification are dependentD. Fail to Reject Ho and conclude that Goals and Grade Classification are independent*E. Reject Ho and conclude that Goals is greater than Grade ClassificationUse the following to answer the questions 12 - 15.The U.S. film industry generates billions of dollars in revenue every year from box office sales. A random sample of 48 movies from 2011 was
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