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suter [353]
3 years ago
14

Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 7 centimeters.

Business
1 answer:
Sunny_sXe [5.5K]3 years ago
4 0

Answer:

a) 0.75%

b) 60.9%

Explanation:

The heights of adult women are distributed normally with a mean(μ) = 162 centimetres and a standard deviation (σ) = 7 centimetres.

z score is a measure of the distance a raw score is from the mean in terms of standard deviation units. The z score is given by the equation:

z=\frac{x-\mu}{\sigma} \\.

a) The percentage of heights less than 145 centimetres. For x = 145 centimetres, the z score is:

z=\frac{x-\mu}{\sigma} =\frac{145-162}{7}=-2.43

P(x < 145) = P(z < -2.43) = 0.0075

The percentage of heights less than 145 centimetres is 0.75%

b) The percentage of heights between 165 centimetres and 180 centimetres

For x = 165 centimetres, the z score is:

z=\frac{x-\mu}{\sigma} =\frac{160-162}{7}=-0.29

For x = 180 centimetres, the z score is:

z=\frac{x-\mu}{\sigma} =\frac{180-162}{7}=2.57

P(160 < x < 180) = P(-0.29 < z < 2.57) = P(z < 2.57) - P(z < -0.29) = 0.9949 - 0.3859 = 0.609

The percentage of heights between 160 centimetres and 180 centimetres is 60.9%

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Sunland Shutter

Answer is 660

First in First out . Last inventory of 110 @ 6 = 660

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3 years ago
Direct Method, Reciprocal Method, Overhead Rates Macalister Corporation is developing departmental overhead rates based on direc
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Answer:

Answer is given below.

If you face difficulty in understating the answer, see attached file.

Explanation:

       

 Molding Assembly    

       

Employee A 19 75    

Hours B 2180 2180    

Toal Labor Hours A*B 41420 163500    

       

       

       

 Engineering Gen Factory Molding Assembly Total  

Budgeted Overheads  $       206,000 $       395,000 $       198,000 $         73,000 $872,000  

       

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Engineering Hours    24.00% 76.00%  

Square Feet    82.35% 17.65%  

       

Weightes for reciperocal        

Engineering Hours%   17.36% 19.83% 62.81%  

Square Feet%  15.00%  70.00% 15.00%  

       

1. Direct Method Allocation:        

       

 Engineering Gen Factory Molding Assembly Total  

Budgeted Overheads  $       206,000 $       395,000 $       198,000 $         73,000 $872,000  

Engineering  $     -206,000  $         49,440 $       156,560 $            -    

Gen Factory   $     -395,000 $       325,294 $         69,706 $            -    

       

Total Overhead a   $       572,734 $       299,266  

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1. Reciperocal Method Allocation:        

       

       

Engineering 206000+0.15Gen Factory      

Gen Factory 395000+0.1736Engineering      

       

Engineering 206000+0.15(395000+0.1736Engineering)      

       

Engineering 206000+59250+0.02604Engineering      

       

0.97396 Engineering 265250      

Engineering $                                    272,342      

       

Gen Factory 395000+0.1736Engineering      

Gen Factory 395000+(0.1736*272342)      

Gen Factory $                                    442,264 R/Off Gap      

       

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Overhead Per DLH a/b   $            13.56 $              1.90  

       

Part -3        

       

The major advantage of reciprocal method is that it fully takes into account the interdepartmental services        

and is therefore considered a more accurate method than direct and step method for departmental cost allocation.        

       

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