SnowPea is a restaurant that specializes in Chinese carryout/ delivery. Four of SnowPea’s delivers are new hires. SnowPea began receiving complaints from customers about excessively long delivery times. The manager of SnowPea collected data on the four new delivery people for a measure to figure out the cause of the long delivery times.
Experimental Model
The four deliveryman where assigned to deliver different orders to different customers. Travel time, prep-time, and distance were collected for each customer after delivering their order. Deliverers are expected to do restaurant’s deliveries within a ten mile radius, but occasionally they deliver to customers more than ten miles away.
Summary of Data
In the delivery data for the first deliveryman, the mean speed for the 25 samples in the new hires was 42.46 with a standard deviation of 7.41. For the second deliveryman data, the mean speed for the 18 samples in the new hires was 48.15 …show more content…
There was sufficient statistical evidence at the 5% significance level (t=-3.981 and tcrit=-2.021) to reject the null hypothesis that the mean of D3 is not significantly different than the mean of D1.
Consequently, another two-sample Pooled t test was used to test the hypothesis that the mean delivery speed of deliveryman 4 (D4) is not significantly different from mean delivery speed of deliveryman 1 (D1) at a 5% level of significance and 39 degrees of freedom. There was sufficient statistical evidence at the 5% significance level (t=-5.436 and tcrit=-2.023) to reject the null hypothesis that the mean of D4 is not significantly different than the mean of D1.
Experimental Model
The four deliveryman where assigned to deliver different orders to different customers. Travel time, prep-time, and distance were collected for each customer after delivering their order. Deliverers are expected to do restaurant’s deliveries within a ten mile radius, but occasionally they deliver to customers more than ten miles away.
Summary of Data
In the delivery data for the first deliveryman, the mean speed for the 25 samples in the new hires was 42.46 with a standard deviation of 7.41. For the second deliveryman data, the mean speed for the 18 samples in the new hires was 48.15 …show more content…
There was sufficient statistical evidence at the 5% significance level (t=-3.981 and tcrit=-2.021) to reject the null hypothesis that the mean of D3 is not significantly different than the mean of D1.
Consequently, another two-sample Pooled t test was used to test the hypothesis that the mean delivery speed of deliveryman 4 (D4) is not significantly different from mean delivery speed of deliveryman 1 (D1) at a 5% level of significance and 39 degrees of freedom. There was sufficient statistical evidence at the 5% significance level (t=-5.436 and tcrit=-2.023) to reject the null hypothesis that the mean of D4 is not significantly different than the mean of D1.