Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
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Chapter 5, Problem 5.65SE
(a)
To determine
The
(b)
To determine
The probability that x is exactly equals to 22
(c)
To determine
Whether commissioner’s claim is true or not.
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Calculate the 90% confidence interval for the population mean difference using the data in the attached image. I need to see where I went wrong.
Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
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?
Chapter 5 Solutions
Introduction to Probability and Statistics
Ch. 5.2 - O Canada! The National Hockey League (NHL) has 80%...Ch. 5.2 - Prob. 5.28ECh. 5.2 - Whitefly Infestation Suppose that 10% of the...Ch. 5.2 - Color Preferences in Mice In a psychology...Ch. 5.2 - Back Pain Six in 10 aduts say lower back pain...Ch. 5.2 - Prob. 5.32ECh. 5.2 - Prob. 5.33ECh. 5.2 - Man’s Best Friend According to the Humane Society...Ch. 5.3 - Consider a Poission random variable with =2.5. Use...Ch. 5.3 - Consider a Poission random variable with =3. Use...
Ch. 5.3 - Consider a Poission random variable with =3. Use...Ch. 5.3 - Consider a Poission random variable with =0.8. Use...Ch. 5.3 - Let x be a Poisson random variable with mean =2....Ch. 5.3 - Prob. 5.40ECh. 5.3 - Prob. 5.41ECh. 5.3 - Prob. 5.42ECh. 5.3 - Prob. 5.46ECh. 5.3 - Prob. 5.48ECh. 5.4 - Prob. 5.49ECh. 5.4 - Let x be the number of successes observed in a...Ch. 5.4 - Prob. 5.51ECh. 5.4 - Prob. 5.52ECh. 5.4 - Prob. 5.53ECh. 5.4 - Candy Choices A candy dish contains five blue and...Ch. 5.4 - Defective Computer Chips A piece of electronic...Ch. 5.4 - Gender Bias? A company has lIve applicants for two...Ch. 5 - Prob. 5.59SECh. 5 - Under what conditions can the Poisson random...Ch. 5 - Prob. 5.61SECh. 5 - Tossing a Coin A balanced coin is tossed three...Ch. 5 - Prob. 5.63SECh. 5 - Cancer Survivor Rates The 10-year survival rate...Ch. 5 - Prob. 5.65SECh. 5 - Prob. 5.66SECh. 5 - Prob. 5.67SECh. 5 - Prob. 5.68SECh. 5 - Psychosomatic Problems A psychiatrist believesthat...Ch. 5 - Prob. 5.75SECh. 5 - Prob. 5.77SECh. 5 - Prob. 5.78SECh. 5 - Prob. 5.79SECh. 5 - Dark Chocolate Despite reports that dark chocolate...Ch. 5 - Prob. 5.81SECh. 5 - Prob. 5.82SECh. 5 - Prob. 5.85SECh. 5 - Prob. 5.90SECh. 5 - Earthquakes! Suppose that one out of every 10...Ch. 5 - Prob. 5.92SECh. 5 - Prob. 5.94SECh. 5 - Prob. 5.95SECh. 5 - Prob. 5.96SECh. 5 - Prob. 5.97SECh. 5 - Prob. 5.98SECh. 5 - McDonald’s or Burger King? Suppose that 50% of all...Ch. 5 - Prob. 5.100SE
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