STAT TECH IN BUSINESS & ECON LL\AC
18th Edition
ISBN: 9781264720545
Author: Lind
Publisher: MCG
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Chapter 19, Problem 35CE
To determine
Construct an appropriate control chart.
Find the
Compute the limits on the number of robberies reported per day.
Check whether there any days when the number of robberies reported is out of control 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 19 Solutions
STAT TECH IN BUSINESS & ECON LL\AC
Ch. 19 - The Rouse Home, located on the south side of...Ch. 19 - Tom Sharkey is the owner of Sharkey Chevy, Buick,...Ch. 19 - Out of 110 diesel engines tested, a rework and...Ch. 19 - The manager of River City McDonalds randomly...Ch. 19 - Describe the difference between assignable...Ch. 19 - Describe the difference between an attribute...Ch. 19 - Samples of size n = 4 are selected from a...Ch. 19 - Samples of size 5 are selected from a...Ch. 19 - A new industrial oven has just been installed at...Ch. 19 - Refer to Exercise 7. a. On the basis of this...
Ch. 19 - Auto-Lite Company manufactures car batteries. At...Ch. 19 - Below is a p-chart for a manufacturing process. a....Ch. 19 - Inter-State Moving and Storage Company is setting...Ch. 19 - A bicycle manufacturer randomly selects 10 frames...Ch. 19 - During the process of producing toilet paper,...Ch. 19 - Sams Supermarkets monitors the checkout scanners...Ch. 19 - Dave Christi runs a car wash chain with outlets...Ch. 19 - Compute the probability of accepting a lot of DVDs...Ch. 19 - Determine the probability of accepting lots that...Ch. 19 - Determine the probability of accepting lots that...Ch. 19 - Warren Electric manufactures fuses for many...Ch. 19 - Grills Video Products purchases LCDs from Mira...Ch. 19 - The production supervisor at Westburg Electric...Ch. 19 - The manufacturer of running shoes conducted a...Ch. 19 - At Rumseys Old Fashion Roast Beef, cola drinks are...Ch. 19 - A new machine has just been installed to produce...Ch. 19 - Long Last Tire Company, as part of its inspection...Ch. 19 - Charter National Bank has a staff of loan officers...Ch. 19 - Prob. 25CECh. 19 - Early Morning Delivery Service guarantees delivery...Ch. 19 - An automatic machine produces 5.0-millimeter bolts...Ch. 19 - Steele Breakfast Foods Inc. produces a popular...Ch. 19 - An investor believes there is a 5050 chance that a...Ch. 19 - Lahey Motors specializes in selling cars to buyers...Ch. 19 - A process engineer is considering two sampling...Ch. 19 - Christina Sanders is a member of the womens...Ch. 19 - Erics Cookie House sells chocolate chip cookies in...Ch. 19 - The numbers of near misses recorded for the last...Ch. 19 - Prob. 35CECh. 19 - Swiss Watches, Ltd. purchases watch stems for...Ch. 19 - Automatic Screen Door Manufacturing Company...Ch. 19 - Prob. 38CE
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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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