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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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1. Prepare general journal entries to record these transactions using the following titles:

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Dr Prepaid Rent (131) 6,000

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March 9

Dr Accounts Receivable (106) 10,900

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March 12

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March 19

Dr Prepaid Insurance (128) 6,400

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Dr Accounts Receivable (106) 5,330

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Account      Description                                  Debit         Credit

101               Cash                                           175,000

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                                                                          4,500

                                                                                           6,000

                                                                                           6,400

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<u>                                                                                             1,400  </u>

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106              Accounts Receivable                 10,900        

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<u>                                                                          5,330                     </u>

106              Accounts Receivable                 12,330

124              Office Supplies                            2,200

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124              Office Supplies                            3,900

128              Prepaid Insurance                       6,400

131               Prepaid Rent                                 6,000

163              Office Equipment                        26,000

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163              Office Equipment                        29,800

201              Accounts Payable                                              6,000

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201              Accounts Payable                                               1,700

307             Common Stock                                               201,000

319              Dividends                                       5,400

403             Services Revenue                                              4,500

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403             Services Revenue                                             20,730

690             Utilities Expense                            1,400

3. Prepare a trial balance as of April 30.

Account      Description                                  Debit         Credit

101               Cash                                           158,300

106              Accounts Receivable                  10,900        

106              Accounts Receivable                  12,330

124              Office Supplies                             3,900

128              Prepaid Insurance                        6,400

131               Prepaid Rent                                 6,000

163              Office Equipment                        29,800

201              Accounts Payable                                               1,700

307             Common Stock                                               201,000

319              Dividends                                       5,400

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690             Utilities Expense                            1,400

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