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elixir [45]
3 years ago
7

According to the Bureau of Labor Statistics, in calendar year 2000, the average duration of unemployment was 12.7 weeks, with a

standard deviation of 0.3 weeks. Assuming that distribution is approximately normal, what is the probability that a randomly selected individual who was unemployed in 2000 would have been unemployed between 12 and 13 weeks?
Business
1 answer:
Verdich [7]3 years ago
7 0

Answer:

0.8314

Explanation:

First, we are given the following

Unemployment during on Average = U= 12.7 weeks

Standard deviation= SD = 0.3 Weeks

Therefore, P (12  Greater than x  Greater than 13)

= P (12-12.7 /0.3 Greater than X -U/SD Greter than 13-12.7/0.3)

= P (-0.7/0.3 Greater than Z Greater than 0.3/0.3)

= P (-2.33 Greater than  Z  Greater than   1)

= P (Z Greater than 1)  - P (Z Greaer than -2.33)

At this Point we make use of he Z table to find out the figure

= 0.8413 - 0.0099

= 0.8314

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Two types of cars (Deluxe and Limited) were produced by a car manufacturer last year. Quantities sold, price per unit, and labor
Damm [24]

Answer:

Labor productivity in units per labor hour for Deluxe car = 0.19 per hour

Labor productivity in units per labor hour for Limited car = 0.24 per hour

Labor productivity in dollar of output per dollar of labor expense for Deluxe car = $98.75

Labor productivity in dollar of output per dollar of labor expense for Limited car = $128.69

Explanation:

Note: This question is not complete and its data are merged together. The complete question with the sorted data is therefore provided before answering the question as follows:

Two types of cars (Deluxe and Limited) were produced by a car manufacturer last year. Quantities sold, price per unit, and labor hours are given below.

                                QUANTITY                     $/UNIT

Deluxe car            3,655 units sold            $7,700/car

Limited car           5,850 units sold            $9,200/car

Labor, Deluxe        19,000 hours                 $15/hour

Labor, Limited       24,600 hours                 $17/hour

What is the labor productivity for each car? Provide two sets of figures: units per labor hour, and dollar of output per dollar of labor expense. (Round your answers to 2 decimal places.)

The explanation of the answers is now provided as follows:

For each type of car, the following formulae can be used:

Labor productivity in units per labor hour = Units sold / Labor hours ……. (1)

Labor productivity in dollar of output per dollar of labor expense = (Units sold * Price per car) / (Labor hours / Labor rate per hour) ……………. (2)

Using equation (1), we have:

Labor productivity in units per labor hour for Deluxe car = 3,655 / 19,000 = 0.19 per hour

Labor productivity in units per labor hour for Limited car = 5,850 / 24,600 = 0.24 per hour

Using equation (2), we have:

Labor productivity in dollar of output per dollar of labor expense for Deluxe car = (3,655 * $7,700) / (19,000 * $15) = $98.75

Labor productivity in dollar of output per dollar of labor expense for Limited car = (5,850 * $9,200) / (24,600 * $17) = $128.69

These can be translated into a table as follows:

                                     Labor Productivity  

                               Units/hour         Dollars

Deluxe Car              0.19/hour           $98.75

Limited Car             0.24/hour         $128.69

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