Assignment 2: Problem 11 (1 point) Two marathon training procedures are tried for comparison purposes. Their efficacy is to be determined in a marathon race. Assume race times are given in minutes. Use a = 0.073 for all calculations. ns The following results were observed:. The data is given in the file below. Download .csv file (a) Do the populations appear to be normal? Hint: use a probability plot to decide A. Yes, Both procedure A and procedure B appear to be normal O B. No, neither procedure A appears to be normal nor procedure B appears to be normal O C. Yes, procedure B appears to be normal but procedure A does not appear to be normal O D. Yes, Both procedure A and procedure B appear to be non-normal O E. No, Both procedure A and procedure B appear to be normal O F. Yes, procedure A appears to be normal but procedure B does not appear to be normal (b) Choose the most appropriate statistical hypotheses to see which procedure results in longer marathon times (be very careful in how you formulate your hypothesis, this one is tricky! Use the sample data to make any assumptions necessary.) O A. Ho : M1 = /2 HA : M1 0 O C. Ho : (1 = 12 HA : M1 > /2 O D. Ho : M1 = 12 HA : M1 # 12 O E. HO : MD = 0, HA : UD 0 HA : MPR - HHR 0 O D. HO : MPR - HHR = 0 HA : HPR - HER 0 (b) Using technology available to you, does there appear to be a difference in the variation in song- length between progressive rock bands and heavy rock bands? A. There appears to be less variation in the song-length of progressive rock bands when compared to heavy rock bands. O B. There appears to be equal variation in the song-length when comparing progressive rock bands and heavy rock bands. O C. There appears to be unequal variation in the song-length when comparing progressive rock bands to heavy rock bands. O D. There appears to be more variation in the song-length of progressive rock bands when compared to heavy rock bands. (c) Report the p-value of the test you ran in (b) use at least three decimals in your answer. P-value = (d) Test the statistical hypotheses in (a) by carrying out the appropriate statistical test. Find the value of the test statistic for this test, use at least two decimals in your answer. Test Statistic = (e) Determine the P-value of your statistical test in part (d), and report it to at least three decimal places. P = (f) Determine the appropriate degrees of freedom for the test in part (d). Use at least 3 digits after the decimal. DF= (g) Using an a of 5%, this data suggest that the null hypothesis should ? Progressive rock songs are ? when compared to the length of heavy rock songs.Assignment 2: Problem 13 (1 point) A professor in the school of business at a certain university wants to investigate the claim that the prices of new textbooks in the campus store are higher than a competing national online bookstore by more than 50 cents. The professor randomly chooses required texts for 12 business school courses. Use a = 0.05. The data is given in the table below. Book Campus Store Online Store A 164.1 164.27 133.98 133 226.01 226.64 D 183.58 182.17 166.1 164.16 162.01 160.3 256.68 255.79 H 133.89 133.89 124.21 - 124.48 101.86 101.24 216.78 211.31 69.09 68.65 Download .csv file (a) Let XA denote the price of books at the campus store, and X be the price of books at the online store, also let XD = XA - XB. Choose the correct statistical hypotheses. O A. Ho : HD = 0.5, HA : HD 0.5 O F. Ho : HD = 0.5, HA : HD # 0.5 O G. Ho : Hcampus = Monline, HA : Hcampus > Honline O H. Ho : MD > 0.5, HA : MD 0.5, HA : MD Monline O K. Ho : MD = 0.5 HA : MD > 0.5 O L. HO : Hcampus = Honline, HA : Hcampus