APPLIED STAT.IN BUS.+ECONOMICS
6th Edition
ISBN: 9781259957598
Author: DOANE
Publisher: RENT MCG
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Chapter 7, Problem 10ERQ
a.
To determine
Identify the most appropriate
b.
To determine
Identify the most appropriate probability distribution among uniform, binomial or Poisson for the given situation.
c.
To determine
Identify the most appropriate probability distribution among uniform, binomial or Poisson for the given situation.
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Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
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x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
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B
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No.
States
2
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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
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3 ARIZONA
0.707914 KANSAS
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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
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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?
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…
Chapter 7 Solutions
APPLIED STAT.IN BUS.+ECONOMICS
Ch. 7.1 - Flight 202 is departing Los Angeles. Is each...Ch. 7.1 - It is Saturday morning at Starbucks. Is each...Ch. 7.1 - Which of the following could not be probability...Ch. 7.1 - For a continuous PDF, why cant we sum the...Ch. 7.2 - Find the mean and standard deviation for each...Ch. 7.2 - Find each uniform continuous probability and...Ch. 7.2 - For a continuous uniform distribution, why is P(25...Ch. 7.2 - Assume the weight of a randomly chosen American...Ch. 7.2 - Prob. 9SECh. 7.2 - Jills resting heart rate (bpm) is a uniformly...
Ch. 7.3 - If all normal distributions have the same shape,...Ch. 7.3 - (a) At what x value does f (x) reach a maximum for...Ch. 7.3 - State the Empirical Rule for a normal distribution...Ch. 7.3 - Discuss why you would or would not expect each of...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Find the standard normal area for each of the...Ch. 7.4 - Bobs exam score was 2.17 standard deviations above...Ch. 7.4 - Joans finishing time for the Bolder Boulder 10K...Ch. 7.4 - Find the associated z-score for each of the...Ch. 7.4 - Prob. 23SECh. 7.4 - Find the associated z-score or scores that...Ch. 7.4 - Prob. 25SECh. 7.4 - High school students across the nation compete in...Ch. 7.4 - Prob. 27SECh. 7.4 - Suppose X N(56, 4). Write the Excel function to...Ch. 7.4 - Suppose the volume of liquid soap (X) in a...Ch. 7.4 - Daily output of Marathons Garyville, Lousiana,...Ch. 7.4 - Assume that the number of calories in a McDonalds...Ch. 7.4 - The weight of a miniature Tootsie Roll is normally...Ch. 7.4 - The pediatrics unit at Carver Hospital has 24...Ch. 7.4 - The cabin of a business jet has a cabin height 5...Ch. 7.4 - On January 1, 2011, a new standard for baseball...Ch. 7.4 - Last years freshman class at Big State University...Ch. 7.4 - Suppose X N(56, 4). Write the Excel function to...Ch. 7.4 - Suppose the volume of liquid soap (X) in a...Ch. 7.4 - The time required to verify and fill a common...Ch. 7.4 - The time required to cook a pizza at a...Ch. 7.4 - The weight of a McDonalds cheeseburger is normally...Ch. 7.4 - The weight of a small Starbucks coffee is a...Ch. 7.4 - The weights of newborn babies in Foxboro Hospital...Ch. 7.4 - The credit scores of 35-year-olds applying for a...Ch. 7.4 - The number of patients needing a bed at any point...Ch. 7.4 - A ski resort pays its part-time seasonal employees...Ch. 7.4 - The average cost of an IRS Form 1040 tax filing at...Ch. 7.4 - Use Excel to find each probability. a. P(X 110)...Ch. 7.4 - Use Excel to find each probability. a. P(80 X 10)...Ch. 7.4 - The weight of a small Starbucks coffee is a normal...Ch. 7.4 - A study found that the mean waiting time to see a...Ch. 7.4 - High-strength concrete is supposed to have a...Ch. 7.5 - The default rate on government-guaranteed student...Ch. 7.5 - In a certain store, there is a .03 probability...Ch. 7.5 - The probability is .90 that a vending machine in...Ch. 7.5 - When confronted with an in-flight medical...Ch. 7.5 - Prob. 57SECh. 7.5 - Prob. 58SECh. 7.5 - On average, 28 patients per hour arrive in the...Ch. 7.5 - For a large Internet service provider (ISP), web...Ch. 7.6 - In Santa Theresa, false alarms are received at the...Ch. 7.6 - Between 11 p.m. and midnight on Thursday night,...Ch. 7.6 - A passenger metal detector at Chicagos Midway...Ch. 7.6 - The Johnson family uses a propane gas grill for...Ch. 7.6 - At a certain Noodles Company restaurant,...Ch. 7.6 - The time it takes a ski patroller to respond to an...Ch. 7.6 - Between 11 p.m. and midnight on Thursday night,...Ch. 7.6 - The shoplifting sensor at a certain Best Buy exit...Ch. 7.6 - Between 2 a.m. and 4 a.m. at an all-night pizza...Ch. 7.6 - The mean life of a certain computer hard disk in...Ch. 7.7 - Suppose that the distribution of order sizes (in...Ch. 7.7 - Suppose that the distribution of oil prices (/bbl)...Ch. 7 - (a) Why does a point have zero probability in a...Ch. 7 - Define (a) parameter, (b) PDF, and (c) CDF.Ch. 7 - For the uniform distribution: (a) tell how many...Ch. 7 - For the normal distribution: (a) tell how many...Ch. 7 - Prob. 5CRCh. 7 - (a) What is the transformation to standardize a...Ch. 7 - (a) Explain the difference between Appendix C-1...Ch. 7 - Write an example of each of the four normal...Ch. 7 - Prob. 9CRCh. 7 - For the exponential distribution: (a) tell how...Ch. 7 - Prob. 11CRCh. 7 - For the triangular distribution: (a) tell how many...Ch. 7 - Which of the following is a continuous random...Ch. 7 - Which of the following could be probability...Ch. 7 - Applicants for a night caretaker position arc...Ch. 7 - Passengers using New Yorks MetroCard system must...Ch. 7 - Discuss why you would or would not expect each of...Ch. 7 - Why might the following not be normally...Ch. 7 - Scores on a certain accounting exam were normally...Ch. 7 - Chlorine concentration in a municipal water supply...Ch. 7 - The weekly demand for Baked Lays potato chips at a...Ch. 7 - The weekly demand for Papa Chubbys pizzas on a...Ch. 7 - The amounts spent by customers at a Noodles ...Ch. 7 - The length of a Colorado brook trout is normally...Ch. 7 - The caffeine content of a cup of home-brewed...Ch. 7 - The fracture strength of a certain type of...Ch. 7 - Tire pressure monitoring systems (TPMS) warn the...Ch. 7 - In a certain microwave oven on the high power...Ch. 7 - Procyon Manufacturing produces tennis balls. Their...Ch. 7 - Shower temperature at the Oxnard Health Club...Ch. 7 - Tests show that, on average, the Li-ion Hitachi...Ch. 7 - The time it takes to give a man a shampoo and...Ch. 7 - The length of a time-out during a televised...Ch. 7 - If the weight (in grams) of cereal in a box of...Ch. 7 - Demand for residential electricity at 6:00 p.m. on...Ch. 7 - Jims systolic blood pressure is a random variable...Ch. 7 - A statistics exam was given. Calculate the...Ch. 7 - Are the following statements true or false?...Ch. 7 - John can take either of two routes (A or B) to LAX...Ch. 7 - The amount of fill in a half-liter (500 ml) soft...Ch. 7 - The length of a certain kind of Colorado brook...Ch. 7 - Times for a surgical procedure are normally...Ch. 7 - Prob. 103CECh. 7 - Among live deliveries, the probability of a twin...Ch. 7 - Nationwide, the probability that a rental car is...Ch. 7 - The probability of being in a car accident when...Ch. 7 - A multiple-choice exam has 100 questions. Each...Ch. 7 - The probability that a certain kind of flower seed...Ch. 7 - Prob. 109CECh. 7 - Prob. 110CECh. 7 - Prob. 111CECh. 7 - Automobile warranty claims for engine mount...Ch. 7 - Prob. 113CECh. 7 - Prob. 114CECh. 7 - The price (dollars per 1,000 board feet) of...Ch. 7 - Prob. 116CECh. 7 - Prob. 117CECh. 7 - (a) Write an Excel formula to generate a random...Ch. 7 - (a) Write an Excel formula to generate a random...Ch. 7 - On a police sergeants examination, the historical...Ch. 7 - Which type of probability (empirical, classical,...Ch. 7 - For the following contingency table, find (a) P(H ...Ch. 7 - If P(A) = .30, P(B) = .70, and P(A B) = .25, are...Ch. 7 - Prob. 4ERQCh. 7 - Which statement is true? Why not the others? a....Ch. 7 - Prob. 6ERQCh. 7 - Assuming independent arrivals with a mean of 2.5...Ch. 7 - If a random experiment whose success probability...Ch. 7 - In a random experiment with 50 independent trials...Ch. 7 - Prob. 10ERQCh. 7 - Prob. 11ERQCh. 7 - Prob. 12ERQCh. 7 - Prob. 13ERQCh. 7 - Prob. 14ERQCh. 7 - Prob. 15ERQCh. 7 - Prob. 16ERQCh. 7 - If arrivals follow a Poisson distribution with...Ch. 7 - In the previous problem, find (a) the 95th...Ch. 7 - Which statement is correct concerning the normal...Ch. 7 - Prob. 20ERQ
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