Stats
5th Edition
ISBN: 9780135163825
Author: De Veaux, Richard D., Velleman, Paul F., BOCK, David E.
Publisher: Pearson,
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Chapter 15.6, Problem 1JC
To determine
Explain the reason of considering the phone calls as Bernoulli trials.
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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 15 Solutions
Stats
Ch. 15.6 - As we noted a few chapters ago, the Pew Research...Ch. 15.6 - As we noted a few chapters ago, the Pew Research...Ch. 15.6 - Prob. 3JCCh. 15.6 - Prob. 4JCCh. 15 - Prob. 1ECh. 15 - Bernoulli 2 Do these situations involve Bernoulli...Ch. 15 - 7. Toasters A manufacturer ships toasters in...Ch. 15 - 8. Soccer A soccer learn estimates that they will...Ch. 15 - 9. Toasters again In a batch of 10,000 toasters,...Ch. 15 - 10. Soccer again If this team has 200 corner kicks...
Ch. 15 - 11. Sell! A car dealership sells an average of 5...Ch. 15 - 12. Passing on A large hospital has an average of...Ch. 15 - Telephone numbers A cable provider wants to...Ch. 15 - Serial numbers In an effort to check the quality...Ch. 15 - Component lifetimes Lifetimes of electronic...Ch. 15 - Website sales Suppose occurrences of sales on a...Ch. 15 - On time A Department of Transportation report...Ch. 15 - Lost luggage A Department of Transportation report...Ch. 15 - Hoops A basketball player has made 80% of his foul...Ch. 15 - Chips Suppose a computer chip manufacturer rejects...Ch. 15 - More hoops For the basketball player in Exercise...Ch. 15 - Chips ahoy For the computer chips described in...Ch. 15 - Customer center operator Raaj works at the...Ch. 15 - Cold calls Justine works for an organization...Ch. 15 - Blood Only 4% of people have Type AB blood.
On...Ch. 15 - Color blindness About 8% of males are color-blind....Ch. 15 - Coins and intuition If you flip a fair coin 100...Ch. 15 - Roulette and intuition An American roulette wheel...Ch. 15 - Lefties Assume that 13% of people are left-handed....Ch. 15 - Arrows An Olympic archer is able to hit the...Ch. 15 - Lefties, redux Consider our group of 5 people from...Ch. 15 - More arrows Consider our archer from Exercise...Ch. 15 - Prob. 33ECh. 15 - Still more arrows Suppose the archer from Exercise...Ch. 15 - Prob. 35ECh. 15 - International students At a certain college, 6% of...Ch. 15 - Prob. 37ECh. 15 - Frogs A wildlife biologist examines frogs for a...Ch. 15 - And more tennis Suppose the tennis player in...Ch. 15 - Prob. 40ECh. 15 - Apples An orchard owner knows that he’ll have to...Ch. 15 - Frogs, part II Based on concerns raised by his...Ch. 15 - Lefties, again A lecture hall has 200 seats with...Ch. 15 - No-shows An airline, believing that 5% of...Ch. 15 - Prob. 45ECh. 15 - Prob. 46ECh. 15 - Prob. 47ECh. 15 - Bank tellers I am the only bank teller on duty at...Ch. 15 - TB Worldwide, tuberculosis is the number-one cause...Ch. 15 - Earthquakes Suppose the probability of a major...Ch. 15 - Prob. 51ECh. 15 - Prob. 52ECh. 15 - Prob. 53ECh. 15 - True-false A true–false test consists of 50...Ch. 15 - Prob. 55ECh. 15 - Prob. 56ECh. 15 - Prob. 57ECh. 15 - Prob. 58ECh. 15 - Prob. 59ECh. 15 - Quality control In an effort to improve the...Ch. 15 - Prob. 61ECh. 15 - Quality control, part 2 The cell phone...
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- A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts? 1. Compute the probability of a value between 44.0 and 55.0. (The question requires finding probability value between 44 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 44, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the answer of the second part.) 2. Compute the probability of a value greater than 55.0. Use the same formula, x=55 and subtract the answer from 1. 3. Compute the probability of a value between 52.0 and 55.0. (The question requires finding probability value between 52 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 52, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the…arrow_forwardIf a uniform distribution is defined over the interval from 6 to 10, then answer the followings: What is the mean of this uniform distribution? Show that the probability of any value between 6 and 10 is equal to 1.0 Find the probability of a value more than 7. Find the probability of a value between 7 and 9. The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: More than $27? Less than or equal to $24? The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches. What is the mean amount of rainfall for the month? What is the probability of less than an inch of rain for the month? What is the probability of exactly 1.00 inch of rain? What is the probability of more than 1.50 inches of rain for the month? The best way to solve this problem is begin by a step by step creating a chart. Clearly mark the range, identifying the…arrow_forwardClient 1 Weight before diet (pounds) Weight after diet (pounds) 128 120 2 131 123 3 140 141 4 178 170 5 121 118 6 136 136 7 118 121 8 136 127arrow_forward
- Client 1 Weight before diet (pounds) Weight after diet (pounds) 128 120 2 131 123 3 140 141 4 178 170 5 121 118 6 136 136 7 118 121 8 136 127 a) Determine the mean change in patient weight from before to after the diet (after – before). What is the 95% confidence interval of this mean difference?arrow_forwardIn order to find probability, you can use this formula in Microsoft Excel: The best way to understand and solve these problems is by first drawing a bell curve and marking key points such as x, the mean, and the areas of interest. Once marked on the bell curve, figure out what calculations are needed to find the area of interest. =NORM.DIST(x, Mean, Standard Dev., TRUE). When the question mentions “greater than” you may have to subtract your answer from 1. When the question mentions “between (two values)”, you need to do separate calculation for both values and then subtract their results to get the answer. 1. Compute the probability of a value between 44.0 and 55.0. (The question requires finding probability value between 44 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 44, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the…arrow_forwardIf a uniform distribution is defined over the interval from 6 to 10, then answer the followings: What is the mean of this uniform distribution? Show that the probability of any value between 6 and 10 is equal to 1.0 Find the probability of a value more than 7. Find the probability of a value between 7 and 9. The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: More than $27? Less than or equal to $24? The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches. What is the mean amount of rainfall for the month? What is the probability of less than an inch of rain for the month? What is the probability of exactly 1.00 inch of rain? What is the probability of more than 1.50 inches of rain for the month? The best way to solve this problem is begin by creating a chart. Clearly mark the range, identifying the lower and upper…arrow_forward
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