The continuous timing method in direct time study was used to obtain the element times for a worker-machine task as indicated in the table below. Element c is a machine-controlled element and the time is constant. Elements a, b, d, e, and f are operator-controlled and external to the machine cycle, and they were performance rated at 80%. If the machine allowance is 25%, and the worker PFD allowance is 15%, determine (a) the normal time, (b) the standard time for the cycle, and (c) the worker’s efficiency if the worker completes 360 work units working 7.2 hr on an 8-hour shift.

Suppose a study of speeding violations and drivers who use cell phones produced the following fictional data:   Speeding violation in thelast year No speeding violation in the last year Total Uses cell phone while driving 25 280 305 Does not use cell phone while driving 45 405 450 Total 70 685 755 Calculate P(Driver had no violation in the last year AND was a cell phone user). Round your answer to four decimal places.

The quality manager believes there may be a relationship between the experience level of an inspector and whether a product passes or fails inspection. Inspection records were reviewed for 630 units of a particular product, and the number of units that passed and failed inspection was determined based on three inspector experience levels. The results are shown in the following table. (Table is the picture) b. Calculate the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test Statistic =   c. Find the p-value.  0.01 ≤ p-value < 0.025 p-value < 0.01 0.025 ≤ p-value < 0.05 p-value ≥ 0.10 0.05 ≤ p-value < 0.10

Step 3 (b) Construct the upper and lower limits for a p chart for the manufacturing process, assuming each sample has 100 calls. Ap chart is a control chart that is used for proportion-defective data. The upper control limit, UCL, and lower control limit, LCL, are calculated as follows where p is the sample proportion of defective items and o- is the standard error of the proportion based on the samples of size n. UCL = p + 30- LCL %3D р — Зо- where Р(1 — р) 0- = p If sample proportions are within the UCL and LCL, then the process is said to be in control. If the LCL is calculated to be a negative value, then it is set to 0. The sample proportion of calls not resulting in a satisfactory outcome was found to be p = 0.051. There were 10 samples of 100 calls each, so we have n = Substitute these values in the formula for the upper control limit, rounding the result to four decimal places. UCL = p + 30- p(1 – p) = p + 3 0.051(1 – 0.051) = 0.051 + 3 Submit Skip (you cannot come back)

The histogram displays the number of 2008 births among U.S. women ages 10 to 50 . Each bin represents an interval of two years, and the height of each bin represents the frequency with which the data fall within that interval. A histogram for the number of births by mother’s age for 2008. Height of 62 for ages 14 to 16, height of 202 for ages 16 to 18, height of 369 for ages 18 to 20, height of 415 for ages 20 to 22, height of 441 for ages 22 to 24, height of 470 for ages 24 to 26, height of 487 for ages 26 to 28, height of 460 for ages 28 to 30, height of 403 for ages 30 to 32, height of 326 for ages 32 to 34, height of 252 for ages 34 to 36, height of 177 for ages 36 to 38, height of 99 for ages 38 to 40, height of 46 for ages 40 to 42, height of 17 for ages 42 to 44, and height of 4 for ages 44 to 46. Use the provided histogram to answer questions about the number of births for each age group. How many births occurred among women over the age of 38 ? number of births:What percentage…