Question

suppose that the national average for the math portion of the College Board's SAT is 522. The College Board periodically rescales the test scores such that the standard deviation is approximately 75. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores If required, round your answers to two decimal places. If your answer is negative use "minus sign (a) what percentage of students have an SAT math score greater than 597? (b) what percentage of students have an SAT math score greater than 672? (c) what percentage of students have an SAT math score between 447 and 522? (d) What is the 2-score for student with an SAT math score of 6357 (e) What is the 2-score for a student with an SAT math score of 425?

Answer 1

1.

1 Standard deviation =68.26%

2 Standard deviation =95%

3 Standard deviation =99.7%

Given data, μ=522, σ=75

Z= x-μ/σ

A. Greater than 597

P = 597-522/75 =75/75=1

= 99.7%-68.26%/2

=15.87%.

B. Greater than 672

P = 672-522/75 =2

=99.7%-95%\2

=2.35%

C. Between 447 and 522

P= 447-522/75 =-1

= 68.26%/2= 34.13%

D. Z- score for a math score of 635

Z= 635-522/75 =1.506

E. Z- score for a meth score of 425

Z=425-522/75

=-1.29.

2.

a. Total product cost

Direct materials	$73,000
Direct Labour	$37,000
Total manufacturing overhead	$45,800
Total product cost	$155,800

b. Total period cost

Total selling expenses	$32,400
Total administrative expenses	$30,200
Total period cost	$62,600

c. Total direct manufacturing cost

Direct materials	$73,000
Direct Labour	$37,000
Total manufacturing cost	$110,000

d. Total indirect manufacturing cost

Variable manufacturing overhead	$16,600
Fixed manufacturing overhead	$29,200
Total indirect manufacturing cost	$45,800

E. Total manufacturing cost

Direct materials	$73,000
Direct Labour	$37,000
Total manufacturing overhead	$45,800
Total manufacturing cost	$155,800

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