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In Study Design 2, Super Sneaker Company drew at random two groups of 14 high school students from the Halifax school district database. After obtaining their shoe sizes, the company manufactured 14 pairs of shoes for group 1, each pair with both soles constructed from material A, and 14 pairs of shoes for group 2, each pair with both soles constructed from material B After 3 months, the amount of sole wear in each shoe was recorded in standardized units, as in the first design. The researcher in charge of this design wanted only one measurement of shoe wear per student. To get only one measurement per student, several options are possible (I) measuring only left shoe wear (or only right shoe wear) (II) measuring left or right shoe wear at random. (III) averaging the left and right shoe wear for each pair The researcher chose option III. Why? 0 Left shoe wear is always greater than right shoe wear O Average of wear on left and right foot will be more variable than wear on either foot individually O Right shoe wear is always greater than left shoe wear Option III uses information from both the left and right foot equally [1 pt(s) Submit Answer Tries 0/1 Using option III, the following data were used to test the hypothesis that wear for material B was greater than wear for material A. Group 1 - Material A 15.81 11.98 10.17 13.77 10.98 10.67 12.47 12.31 14.79 10.41 11.27 15.38 12.77 12.01 Group 2 Material B 13.43 13.83 12.50 11.90 14.15 12.84 11.56 13.28 13.25 12.29 11.22 10.40 15.63 12.16 A null hypothesis for the test is O XK15.81 12.62 1 ptís)) Submit Answer Tries 0/1 An alternative hypothesis is: [1 pt(s)] Submit Answer Tries 0/1

Assume the standard deviation of wear is the same for both materials A and B. Calclate the test statistic. Use at least 5 digits to the right of the decimal. [3 pt(s)1 Submit Answer Tries 0/3 Which of the statistical tables should you use? t-distribution O z-distribution 0 X«distribution [1 pt(s)) Submit Answer Tries 0/1 How many degrees of freedom are associated with the test statistic? [1 pt(s)] Submit Answer Tries 0/1 Is this a 1-sided or a 2-sided test? 2-sided 1-sided 0 [1 pt(s)) Submit Answer Tries 0/1 Which interval in the table contains the p-value for the test? p-value s 0.005 0.005 < p-value 0.01 O0.01 < p-value s 0.025 0.025 < p-value s 0.05 0.05 p-value p-value > 0.1 0.1 3 pt(s)) Submit Answer Tries 0/1 what is the 99% confidence interval for the difference in wear between material B and material A (H3-H4)? Use software to get a more precise critical value, but confirm its roughtly the same value you get from the table. Use at least 5 digits to the right of the decimal. Lower bound: Upper bound 3 pt(s)) Submit Answer Tries 0/3

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