The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almana
c, 2009): Critical Reading 502 Mathematics 515 Writing 494 Assume that the population standard deviation on each part of the test is = 100. Use z-table. What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 502 on the Critical Reading part of the test (to 4 decimals)? Round z value in intermediate calculation to 2 decimals places. What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test (to 4 decimals)? Round z value in intermediate calculation to 2 decimals places. What is the probability a sample of 100 test takers will provide a sample mean test score within 10 points of the population mean of 494 on the writing part of the test (to 4 decimals)? Round z value in intermediate calculation to 2 decimals places.
1 answer:
Answer:
a: 0.6578
b: 0.6578
c: 0.6578
Step-by-step explanation:
For a: See attached photo 1 for the calculation of the probability
There is no more work needed to calculate the other probabilities. The mean is the only thing that's different. We still want a range of being within 10 points of the population mean, so the z-scores won't change, even though the mean has. We would still wind up with the same numerator in the test statistic, and since the sample size didn't change, we'd get the same z-value!
You might be interested in
The solution to given expression is
or 3.8571
<em><u>Solution:</u></em>
Given expression is:
<em><u>First let us convert the mixed fraction to improper fraction</u></em>
Multiply the whole number by the denominator.
Add the answer from Step 1 to the numerator.
Write answer from Step 2 over the denominator.
Thus we get,
Now the given expression becomes,
Convert the problem to multiplication by changing the division sign to multiplication and inverting the fraction to the right of the sign
Multiply the numerators, multiply the denominators, and leave the product in factored form
In decimal form we get,
Thus the solution to given expression is or 3.8571
X5 • (3x3 - 2) • (4x + 5)
Answer:
29 ; 37
Step-by-step explanation:
The figure is composed by a square, a rectangle, and a right triangle
The perimeter of the square is 6 units
The perimeter of the rectangle is 10 units
The triangle is composed by a side of 6 units and a side of 5 units
The third side can be find with the Pythagorean theorem
= 7,81025
The total perimeter is
6 + 10 + 5 + 7,81025 = 28,81025 = 29
Area of the square = 2^2 = 4 square units
Area of the rectangle = 6 x 3 = 18 square units
Area of the triangle = (5 x 6)/2 = 15 square units
Total area = 4 + 18 + 15 = 37 square units