Question cDo you reject or do not reject the null hypothesis?. Is there enough or not enough evidence that the mean time to assemble at the end of the of 3-week training period is less for the new procedure ?
Assembly operation in a manufacturing plant requires approximately a one-month training period for a new employee to reach maximum efficiency in assembling a device. A new method of training was suggested, and a test was conducted to compare the new method with the standard procedure. The two groups of nine new employees were trained for a period of 3 weeks, one group using the new method and the other following the standara training procedure. Each employee of two groups were independent from each other. The length of time (in minutes) required for each employee to assemble the device was recorded at the er Remaining time: 171:27 (min:se These measurements appear in the following table. These data can also be viewed in the accompanying Download .csv file. Note: you can copy and paste this table directly into StatCrunch. New procedure Standard procedure 33 35 32 32 31 32 40 31 33 30 30 33 27 44 35 30 26 30 Assembly time in each of the two samples and the difference in times between samples are assumed to follow the normal distribution. Do the data present sufficient evidence to indicate that the new training method reduced the mean time to assemble the device at the end of the 3-week training period? (a) (Worth 40%) Let Unew and Astandard be the population mean time for assembling the device with the new procedure and with the standard procedure, respectively. Let ud = ew - /standard be the population mean of the difference in assembly time between the new and standard training procedure. State the appropriate null and alternative hypotheses for the test. [Note: For the testing of the independent samples, choose the hypotheses involving ew and /standard- For the testing of the paired samples, choose the hypotheses involving ud ] A. Ho : Hnew = Hstandard Ha : Hnew Hstandard OD. Ho : Hnew = Hstandard Ha : Hnew # Hstandard OE. Ho : Md = 0 Ha : Hd # 0 OF. Ho : Hd = 0 Ha : Md > 0 (b) (Worth 30%) Calculate the associated test statistic. Answer = (Express by four decimal places)
