b) The company’s goal is to have 95% of all orders delivered within 26 minutes.
ID: 3312063 • Letter: B
Question
b) The company’s goal is to have 95% of all orders delivered within 26 minutes. Conduct the appropriate statistical test to see if you think this is possible.
c) Does it take significantly more time for delivery on weekends than weekdays?
Day Time Assemble Wait Deliver Distance 5 4 14.86 3.08 6.02 2.5 5 5 14.84 13.81 5.47 3.3 5 6 15.41 9.91 8.99 4.9 5 7 16.34 2.08 7.98 3.8 5 8 15.19 2.69 9.01 4.9 5 9 16.32 0.29 10.86 5.3 5 10 15.32 4.12 6.31 2.9 5 11 14.06 0.27 7.87 3.5 6 4 15.6 11.35 12.47 6.4 6 5 15.16 11.98 7.58 3.5 6 6 14.37 0.36 10.65 5.1 6 7 14.24 1.21 7.83 3.7 6 8 16.17 4.32 6.75 3.6 6 9 15.48 1.54 9.59 5.2 6 10 14.56 0.13 6.99 3.4 6 11 11.65 2.67 8.94 4.8 7 4 15.6 0.78 8.38 3.7 7 5 15.65 0.84 5.62 2.4 7 6 16.59 3.36 5.67 3.1 7 7 14.51 6.05 9.18 4.4 7 8 14.8 1.14 5.04 2.2 7 9 17.02 1.35 8.16 3.8 7 10 12.89 0.2 6.81 3.5 7 11 14.53 1.25 3.71 1.7 1 4 15.01 0.8 6.44 2.5 1 5 13.5 5.47 7.98 4.1 1 6 14.61 9.74 5.85 2 1 7 15.48 0.58 4.72 1.9 1 8 15.99 0.44 7 3.6 1 9 13.87 0.06 8.52 3.6 1 10 14.71 1.21 8.48 3.9 1 11 13.22 0.3 6.61 3.3 2 4 14.45 0.04 8.98 4.4 2 5 14.77 6.8 7.93 3.9 2 6 12.93 0.66 10.31 4.8 2 7 16.18 13 4.86 2.1 2 8 14.99 1.37 8.9 4.7 2 9 14.13 3.51 8.78 4.6 2 10 17.02 2.27 6.27 3.3 2 11 15.51 0.16 8.83 3.7 3 4 14.74 0.51 7.54 3.6 3 5 15.59 0.88 10.49 5.8 3 6 15.46 0.54 8.33 4.2 3 7 15.3 2.55 7.76 3.6 3 8 14.52 1.31 8.88 4 3 9 15.27 1.28 7.17 4 3 10 14.65 0.4 8.98 4.4 3 11 15.58 0.13 7.06 3.8 4 4 15.69 0.21 9.86 4.9 4 5 16.54 2.16 5.71 2.8 4 6 13.81 0.1 7.12 4 4 7 15.74 1.26 6.08 3.1 4 8 13.68 0.7 7.91 4 4 9 15.54 0.32 6.05 3.3 4 10 14.15 2.18 5.91 2.7 4 11 14.13 1.19 7.53 4.1 5 4 15.07 0.69 6.31 3.3 5 5 16.05 2.44 7.37 3.9 5 6 12.63 3.42 4.27 2.1 5 7 14.8 3.04 7.87 4.4 5 8 14.84 0.37 7.11 3.8 5 9 16.27 2.77 7.28 3.5 5 10 15.14 1.51 9.83 4.8 5 11 14.12 3.04 6.28 2.9 6 4 13.97 4.17 5.83 3 6 5 16.27 1.27 5.5 2.9 6 6 13.45 2.49 8.89 4.3 6 7 14.98 4.46 7.08 3.8 6 8 15.36 0.28 5.57 2.8 6 9 12.56 2.46 7.83 4.4 6 10 14.1 4.16 7.74 3.4 6 11 16.06 4.41 11.29 5.3 7 4 14.64 0.44 8.72 3.9 7 5 16.24 10.5 6.31 3.5 7 6 16.16 0.92 9.69 4.9 7 7 15.98 6.42 10.02 4.9 7 8 15.55 0.52 11.41 5.7 7 9 12.95 1.15 5.87 2.9 7 10 14.07 0.67 6.64 3.2 7 11 14.15 0.4 9.65 5.2 1 4 14.71 0.2 10.88 5 1 5 15.46 6.67 6.43 3.2 1 6 14.06 2.12 6.71 2.9 1 7 14.25 0.83 4.12 2.2 1 8 13.81 0.63 8.88 4.6 1 9 15.28 3.77 5.86 2.7 1 10 12.99 1.92 10.74 6.1 1 11 15.58 0.94 5.83 2.4 2 4 14.35 0.85 8.25 3.4 2 5 14.32 1.61 6.93 3.8 2 6 13.34 0.58 7.81 3.9 2 7 16.49 5.07 9.33 5 2 8 16.49 0.99 6.04 3.2 2 9 15.96 0.17 5.6 3 2 10 15.98 0.02 7.04 3.2 2 11 15.71 0.21 9.41 4.9 3 4 15.35 1.63 10.93 5.1 3 5 13.15 6.96 8.14 4.1 3 6 14.97 1.48 6.46 3.2 3 7 14.13 4.83 7.79 3.9 3 8 16 0.55 7.06 3.1 3 9 12.49 0.14 4.27 2.3 3 10 14.19 0.72 8.87 4.5 3 11 15.33 0.2 10.19 4.9 4 4 16.53 1.18 8.14 4.8 4 5 14.18 0.82 7.91 4.5 4 6 15.68 0.04 8.28 4.7 4 7 15.64 0.2 4.85 2.5 4 8 14.34 1.43 8.02 3.7 4 9 15.01 0.6 9.36 5.6 4 10 15.72 0.19 8.52 3.8 4 11 14.68 0.44 7.35 2.7 5 4 14.88 11.11 7.59 4 5 5 15.42 1.7 8.33 3.8 5 6 15.73 1.02 11.22 5.9 5 7 15.09 2.12 5.97 2.6 5 8 15.45 0.52 8.28 4.2 5 9 15.24 1.75 6.63 3 5 10 13.52 8.82 9.56 4.9 5 11 14.29 8.07 6.7 3.8 6 4 16.48 1.49 5.83 2.6 6 5 14.82 8.81 6.02 3 6 6 15.64 4.68 6.47 2.6 6 7 13.96 2.72 8.16 4.3 6 8 16.03 3.11 6.55 3.9 6 9 16.81 13.32 7.17 3.4 6 10 15.69 1.5 8.62 4.3 6 11 15.91 3.94 8.81 4.2 7 4 13.58 0.11 9.62 4.6 7 5 14.85 0.18 9.39 4.6 7 6 14.55 2.36 4.88 2.5 7 7 14.59 0.27 9.21 4.7 7 8 14.39 1.22 5.18 2 7 9 14.52 1.43 9.17 4.7 7 10 16.18 0.86 7.78 4.3 7 11 14.52 0.97 10.49 5.1 1 4 15.6 1.02 4.91 2.4 1 5 14.08 0.25 8.54 4.3 1 6 17.43 11.38 4.07 1.2 1 7 13.92 1.07 5.88 3.7 1 8 15.07 0.17 7.09 3.5 1 9 14.26 1.97 5.8 2.6 1 10 15.19 0.19 7.03 3.4 1 11 14.69 1.01 7.94 3.9 2 4 15.18 1.04 8.45 4 2 5 16.06 6.78 6.59 2.8 2 6 12.81 1.33 10.75 5.4 2 7 14.33 2.43 8.68 3.6 2 8 15.27 0.49 6.05 3 2 9 12.96 0.44 8.3 4.2 2 10 14.93 1.04 8.53 3.7 2 11 15.28 0.03 5.96 2.7 3 4 16.25 0.9 8.2 3.2 3 5 16 0.32 5.67 3.2 3 6 14.44 2.38 8.85 4.6 3 7 14.13 0.07 9.02 4.5 3 8 15.78 0.41 6.65 3.5 3 9 13.69 0.47 10.36 5.1 3 10 16.05 0.71 7.9 4.4 3 11 14.42 0.65 8.51 4.3 4 4 14.78 0.28 7.73 4.1 4 5 16.26 0.66 9.24 4.3 4 6 16.7 0.85 9.91 5.1 4 7 14.37 0.58 5.85 2.4 4 8 15.87 0.5 4.68 3.1 4 9 14.85 0.07 8.47 4.6 4 10 14.8 0.63 9.02 4.9 4 11 16.48 0.38 10.57 5.2 5 4 13.14 4.02 10.71 5.2 5 5 13.54 4.01 3.52 1.9 5 6 15.01 1.83 10.56 5.8 5 7 13.67 0.63 5.09 2.7 5 8 16.49 3.63 8.47 4.2 5 9 14.94 0.96 6.81 3.4 5 10 14.86 4.99 10.84 5.5 5 11 14.01 7.64 6.47 3.4 6 4 13.73 0.48 7.33 3.5 6 5 14.89 5.65 8.82 4.6 6 6 15.84 0.74 9.34 4.3 6 7 15.99 8.32 8.24 3.9 6 8 16.17 1.75 7.54 4.1 6 9 15.64 15.15 9.43 5.2 6 10 14.13 0.14 11.21 5.5 6 11 14.62 11.19 10.67 5.9 7 4 16.83 0.23 7.7 3.7 7 5 15.44 10.14 6.37 2.8 7 6 13.27 1.86 8.14 3.7 7 7 16.43 2.13 8.22 3.8 7 8 15.55 0.18 9.41 4 7 9 14.47 3.32 6.62 3.1 7 10 15.09 0.49 4.83 3 7 11 16.57 0.04 6.55 3.2 1 4 13.95 1.46 3.12 1.7 1 5 13.98 1.01 7.19 3.3 1 6 13.76 4.56 9.39 5 1 7 16.48 1.31 6.9 2.9 1 8 15.78 2.18 8.29 3.7 1 9 14.42 0.24 11.85 5.8 1 10 15.76 4.19 8.83 4.6 1 11 13.87 0.08 3.92 2.3 2 4 16.45 0.16 12.25 5.5 2 5 13.58 1 9.9 5.3 2 6 13.25 8.7 8.68 4.1 2 7 16.02 0.88 8.97 4 2 8 13.75 0.22 9.56 4.7 2 9 14.4 1.14 8.65 4.6 2 10 13.85 0.39 10.49 5.3 2 11 13.5 0.16 6.87 3 3 4 15.34 0.7 4.86 2.5 3 5 16.79 0.94 11.14 6.1 3 6 15.46 0.66 8.76 4.6 3 7 14.42 6.14 9.41 4.4 3 8 14.65 3.31 3.93 2.5 3 9 14.76 2 9.98 4.2 3 10 13.6 1.91 6.32 3.3 3 11 14.24 1.19 9.4 4.5 4 4 15.7 1.77 6.54 3.3 4 5 15.51 4.83 8.45 4.2 4 6 14.05 0.68 5.3 2.5 4 7 15.6 3.5 6.96 3.6 4 8 15.54 1.73 6.88 2.9 4 9 13.49 1.29 8.22 4.7 4 10 15.46 1.49 8.06 4.1 4 11 15.58 0.31 12.55 6.4 5 4 14.06 1.33 9 4.7 5 5 15.53 2.2 8.25 4.1 5 6 15.94 2.27 12.58 6.4 5 7 15.08 8.31 9.63 5 5 8 15.46 1.61 10.42 5 5 9 15.73 3.45 7.69 3.8 5 10 15.21 7.22 7.88 4 5 11 13.3 3.57 7.43 3.6 6 4 14.14 5.94 6.56 3.1 6 5 14.59 1.1 4.72 2.9 6 6 15.77 2.14 8.58 4.9 6 7 12.64 8.2 8.83 5.1 6 8 16.69 21.66 7.65 4 6 9 16.82 0.72 12.43 5.4 6 10 16.71 2.08 6.09 2.7 6 11 14.2 5.28 7.79 4 Day - 1 is Monday, 2 is Tuesday….7 is Sunday Time - the hour the order came in (between 4 and 11pm) Assemble - time in minutes to assemble the order by Moe's cooks Wait - time in minutes from end of assembly to when Postmates delivery person arrived Deliver - time in minutes from pick up of order to when it arrives at customer's location Distance - miles between Moe's and customer's locationExplanation / Answer
b)
Null hypothesis H0: Total time (Assemble, Wait, Deliver) to deliver is equal to 26 min.
Alternative hypothesis H1: Total time (Assemble, Wait, Deliver) to deliver is less than 26 min.
Confidence level = 95% , Significance level = 5% = 0.05
Mean of total time = 25.32
Standard deviation of total time = 3.92
Standard error of of total time = 3.92 / sqrt(240) = 0.253
z = (Observed Mean - Hypothesized Mean ) / SE = (25.32 - 26) / 0.253 = -2.69
P-value = P(z < -2.69) = 0.0035
As, P-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that at 95% confidence level, Total time (Assemble, Wait, Deliver) to deliver is less than 26 min.
c)
Mean of total time on weekends (day = 6 or 7) = 26.40
Standard deviation of total time = 5.05
Standard error of of total time = 5.05 / sqrt(240) = 0.326
z = (Observed Mean - Hypothesized Mean ) / SE = (26.4 - 26) / 0.326 = 1.227
P-value = P(z < 1.227) = 0.89
As, P-value is greater than the significance level of 0.05, we fail to reject the null hypothesis and conclude that at 95% confidence level, there is no evidence that the Total time (Assemble, Wait, Deliver) to deliver is less than 26 min.
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