Question No Mean Q 11 Std. dev. X Result reater/Less/Betwee Answer 50 4 44 50 4 55 Q12 50 st Between 44-55 4 55 Greater than 55 Q13 50 4 52 50 4 55 Between 52-55 Q14 3401 82.5 3500 More than 3500 Q15 3401 82.5 3500 3401 82.5 3579 Between 3500-3579 Q16 3401 82.5 3325 3401 82.5 3579 Between 3325-3579 Q17 15 3.5 20 More than 20 Q18 15 3.5 20 Less than 20 Q19 15 3.5 10 15 3.5 12 Between 10-12 Q20 15 3.5 15 15 3.5 20 Between 15-20

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 25E
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Question

Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.

1.What percent of the refunds are more than $3,500?

2. What percent of the refunds are more than $3500 but less than $3579?

3. What percent of the refunds are more than $3325 but less than $3579?

Question No Mean
Q 11
Std. dev. X
Result reater/Less/Betwee Answer
50
4
44
50
4
55
Q12
50
st
Between 44-55
4
55
Greater than 55
Q13
50
4
52
50
4
55
Between 52-55
Q14
3401
82.5
3500
More than 3500
Q15
3401
82.5
3500
3401
82.5
3579
Between 3500-3579
Q16
3401
82.5
3325
3401
82.5
3579
Between 3325-3579
Q17
15
3.5
20
More than 20
Q18
15
3.5
20
Less than 20
Q19
15
3.5
10
15
3.5
12
Between 10-12
Q20
15
3.5
15
15
3.5
20
Between 15-20
Transcribed Image Text:Question No Mean Q 11 Std. dev. X Result reater/Less/Betwee Answer 50 4 44 50 4 55 Q12 50 st Between 44-55 4 55 Greater than 55 Q13 50 4 52 50 4 55 Between 52-55 Q14 3401 82.5 3500 More than 3500 Q15 3401 82.5 3500 3401 82.5 3579 Between 3500-3579 Q16 3401 82.5 3325 3401 82.5 3579 Between 3325-3579 Q17 15 3.5 20 More than 20 Q18 15 3.5 20 Less than 20 Q19 15 3.5 10 15 3.5 12 Between 10-12 Q20 15 3.5 15 15 3.5 20 Between 15-20
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