Adesign engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. he knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. on three recent production batches, he tested service life on random samples of four headlamps, with these results:

sample service life

1 495 500 505 500

2 525 515 505 515

3 470 480 460 470

what is the sample mean service life for sample 2?

a) 460 hours

b) 495 hours

c) 515 hours

d) 525 hours

“wonderful! not only did our salespeople do a good job in meeting the sales budget this year, but our production people did a good job in controlling costs as well,” said kim clark, president of martell company. “our $11,150 overall manufacturing cost variance is only 3% of the $1,536,000 standard cost of products made during the year. that’s well within the 3% parameter set by management for acceptable variances. it looks like everyone will be in line for a bonus this year.” the company produces and sells a single product. the standard cost card for the product follows: standard cost card—per unit direct materials, 4.00 feet at $4.00 per foot $ 16.00 direct labor, 1.1 direct labor-hours at $13 per direct labor-hour 14.30 variable overhead, 1.1 direct labor-hours at $2.40 per direct labor-hour 2.64 fixed overhead, 1.1 direct labor-hours at $6.50 per direct labor-hour 7.15 standard cost per unit $ 40.09the following additional information is available for the year just completed: a. the company manufactured 20,000 units of product during the year. b. a total of 77,000 feet of material was purchased during the year at a cost of $4.25 per foot. all of this material was used to manufacture the 20,000 units. there were no beginning or ending inventories for the year. c. the company worked 24,000 direct labor-hours during the year at a direct labor cost of $12.50 per hour. d. overhead is applied to products on the basis of standard direct labor-hours. data relating to manufacturing overhead costs follow: denominator activity level (direct labor-hours) 19,000 budgeted fixed overhead costs $ 123,500 actual variable overhead costs incurred $ 64,800 actual fixed overhead costs incurred $ 120,900required: 1. compute the materials price and quantity variances for the year. (round standard price and actual price to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i. e., zero 2. compute the labor rate and efficiency variances for the year. (round standard rate and actual rate to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i. e., zero 3. for manufacturing overhead compute: a. the variable overhead rate and efficiency variances for the year. (round standard rate and actual rate to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i. e., zero b. the fixed overhead budget and volume variances for the year. (indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i. e., zero

Universal containers(us) has an integration with its accounting system that creates tens of thousands of orders inside salesforce in a nightly batch. us wants to add automation that can attempt to match leads and contacts to these orders using the email address field on the insert. us is concerned about the performance of the automation with a large data volume. which tool should uc use to automate this process?

David paid $975,000 for two beachfront lots in coastal south carolina, with the intention of building residential homes on each. two years later, the south carolina legislature passed the beachfront management act, barring any further development of the coast, including david's lots. when david files a complaint to seek compensation for his property, south carolina refuses, pointing to a passage in david's own complaint that states "the beachfront management act [was] properly and validly designed to south carolina's " is south carolina required to compensate david under the takings clause?