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13. A hospital has a main campus and three satellite locations. Management wants to reduce waiting time for ER cases. A random sample or 11

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13. A hospital has a main campus and three satellite locations. Management wants to reduce waiting time for ER cases. A random sample or 11 ER cases at each location was selected, and the waiting time was measured. (The table of data at the very end may be copied and pasted directly into Excel.) Complete parts (a) through (d) to determine if there is statistical evidence of a difference in the mean waiting times between the four locations. a. State the two hypotheses. Choose the correct answer below. O A. Ho: My = H2 = . . . = HA O B. Ho: H1 = H2= . . . =191 H1 : Hy # H2 # . . . # H4 H1: Hy # H2 # . . . $ 191 O C. Ho: H1 = H2 = . . . = H4 OD. Ho: H1 = H2 = . . . = 191 H1: Not all u; are equal H1: Not all uj are equal (where j = 1, 2,...,4) (where j = 1,2,..., 11) b. At the 0.05 level of significance, state the test statistic. (Round to two decimal places to the right of the decimal point as needed.) O A. FSTAT = 2.84 , from the first row of the ANOVA table O B. FSTAT = 0.005, from the first row of the ANOVA table O C. FSTAT = 4.91 , from the first row of the ANOVA table O D. FSTAT = 2.05 , from the first row of the ANOVA table c. For a level of significance of 0.05, state the p-value. (Round to three decimal places to the right of the decimal point as needed.) O A. p-value = 0.011 , from the first row of the ANOVA table O B. p-value = 0.005 , from the first row of the ANOVA table OC. p-value = 0.120 , from the first row of the ANOVA table O D. p-value = 2.839 , from the first row of the ANOVA table Since the p-value is (1) - than a, (2) Ho. There is (3) statistical evidence to conclude that there is a difference in the mean waiting time in the four locations. Main Campus Satellite #1 Satellite #2 Satellite #3 75.6 32.28 38.89 52.06 59.98 58.96 72.4 26.74 91.44 42.02 63.1 44.15 70.21 26.21 58.9 34.9 77.7 65.69 51.45 61.22 95.96 39.74 61.01 38.15 65.18 49.13 74.59 63.4 61.32 72.82 49.2 54.79 79.94 66.3 47.58 46.6 47.82 35.02 70.76 48.81 43.15 58.08 83.13 71.68 (1) less (2) O do not reject (3) O insufficient O greater O reject sufficient

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