Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
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Textbook Question
Chapter 4.4, Problem 31E
Why is total area under a bell curve equal to 1?.
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A client of a commercial rose grower has been keeping records on the shelf-life of a rose. The client sent the following frequency distribution to the grower.
Rose Shelf-Life
Days of Shelf-Life Frequency fi
1-5
2
6-10
4
11-15
7
16-20
6
21-25
26-30
5
2
Step 2 of 2: Calculate the population standard deviation for the shelf-life. Round your answer to two decimal places, if necessary.
Apply the Chain Rule
A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use = .05 and the following data to test the hypothesis and comment on the value of the commercial.
Purchase Rating
Purchase Rating
Individual
After
Before
Individual
After
Before
1
6
5
5
3
5
2
6
4
6
9
8
3
7
7
7
7
5
4
4
3
8
6
6
What are the hypotheses?H0: d Ha: d
Compute (to 3 decimals).Compute sd (to 1 decimal).
What is the p-value?The p-value is
What is your decision?
Chapter 4 Solutions
Mathematics: A Practical Odyssey
Ch. 4.1 - To study the library habits of students at a local...Ch. 4.1 - To study the eating habits of students at a local...Ch. 4.1 - To study the composition of families in Manistee,...Ch. 4.1 - To study the spending habits of shoppers in...Ch. 4.1 - The speeds, in miles per hour, of forty randomly...Ch. 4.1 - The weight, in pounds, of thirty-five packages of...Ch. 4.1 - To examine the effects of a new registration...Ch. 4.1 - The frequency distribution shown in Figure 4.21...Ch. 4.1 - The frequency distribution shown in Figure 4.22...Ch. 4.1 - To study the output of a machine that fills boxes...
Ch. 4.1 - The ages of the nearly 4 million women who gave...Ch. 4.1 - The age composition of the population of the...Ch. 4.1 - Using the data in Figure 4.26, replace the...Ch. 4.1 - Using the data in Figure 4.26, replace the...Ch. 4.1 - The frequency distribution shown in Figure 4.27...Ch. 4.1 - The frequency distribution shown in Figure 4.28...Ch. 4.1 - Figure 4.29 lists the top five reasons given by...Ch. 4.1 - Figure 4.30 lists the worlds top six countries as...Ch. 4.1 - Figure 4.31 lists the race of new AIDS cases in...Ch. 4.1 - Figure 4.32 lists the types of accidental deaths...Ch. 4.1 - Figure 4.33 lists some common specialities of...Ch. 4.1 - Figure 4.34 lists the major metropolitan areas on...Ch. 4.1 - Answer the following questions using complete...Ch. 4.1 - Answer the following questions using complete...Ch. 4.1 - Answer the following questions using complete...Ch. 4.1 - Answer the following questions using complete...Ch. 4.1 - Answer the following questions using complete...Ch. 4.1 - Prob. 28ECh. 4.1 - Use a graphing calculator or Excel on the...Ch. 4.1 - Prob. 30ECh. 4.2 - Exercises 1-4, find mean, median, and mode of the...Ch. 4.2 - In Exercises 1-4, find mean, median, and mode of...Ch. 4.2 - Exercises 1-4, find mean, median, and mode of the...Ch. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Find the mean, median, and mode of each set of...Ch. 4.2 - Find the mean, median, and mode of each set of...Ch. 4.2 - Prob. 8ECh. 4.2 - Kaitlin Mowry is a member of local 4-H club and...Ch. 4.2 - Prob. 10ECh. 4.2 - Jerry Rice holds the all-time record in...Ch. 4.2 - Wayne Gretzky, known as The Great One, holds the...Ch. 4.2 - Relief pitcher Mariano Rivera New York Yankees...Ch. 4.2 - Michael Jordan has been recognized as an...Ch. 4.2 - The frequency distribution in Figure 4.61 lists...Ch. 4.2 - Todd booth, an avid jogger, kept detailed records...Ch. 4.2 - To study the output of a machine that fills boxes...Ch. 4.2 - To study the efficiency of its new price-scanning...Ch. 4.2 - Katrina must take five exams in a math class. If...Ch. 4.2 - Eugene must take four exams in a geography class....Ch. 4.2 - The mean salary of twelve men is 58,000, and the...Ch. 4.2 - The mean salary of twelve men is 52,000, and the...Ch. 4.2 - Maria drove from Chicago, Illinois, to Milwaukee,...Ch. 4.2 - Sully drove from Atlanta, Georgia, to Birmingham,...Ch. 4.2 - The mean age of a class of twenty-five students is...Ch. 4.2 - The mean age of a class of fifteen students is...Ch. 4.2 - The mean salary of eight employees is 40.000, and...Ch. 4.2 - The mean salary of ten employees is 32,000, and...Ch. 4.2 - The number of civilians holding government jobs in...Ch. 4.2 - The ages of the nearly 4 million women who gave...Ch. 4.2 - The age composition of the population of the...Ch. 4.2 - In Exercises 32 and 33. use the age composition of...Ch. 4.2 - In Exercises 32 and 33. use the age composition of...Ch. 4.2 - Prob. 34ECh. 4.2 - Suppose the mean of Group I is A and the mean of...Ch. 4.2 - Prob. 36ECh. 4.3 - Perform each task, given the following sample...Ch. 4.3 - Perform each task, given the following sample...Ch. 4.3 - Perform each task, given the following sample...Ch. 4.3 - Find the mean and standard deviation of each set...Ch. 4.3 - Find the mean and standard deviation of each set...Ch. 4.3 - Find the mean and standard deviation of each set...Ch. 4.3 - 7.Joey and Dee Dee bowled five games at the Rock n...Ch. 4.3 - Paki surveyed the price of unleaded gasoline...Ch. 4.3 - Kaitlin Mowry is a member of the local 4H club and...Ch. 4.3 - Before Lance Armstrong admitted doping and was...Ch. 4.3 - 11.Relief pitcher Mariano RiveraNew York Yankees...Ch. 4.3 - Micheal Jordan has been recognized as an...Ch. 4.3 - The Truly Amazing Dudes are a group of comic...Ch. 4.3 - The weights in Pounds of the ten Truly Amazing...Ch. 4.3 - The normal monthly rainfall in Seattle,...Ch. 4.3 - The normal monthly rainfall in Phoenix, Arizona,...Ch. 4.3 - The frequency distribution in Figure 4.87 lists...Ch. 4.3 - Prob. 18ECh. 4.3 - To study the output of a machine that fills boxes...Ch. 4.3 - To study the efficiency of its new price-scanning...Ch. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - The ages of all employees at a specific state...Ch. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Do Double Stuff Oreos really contain twice as much...Ch. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.4 - The weight in ounces of several bags of corn chips...Ch. 4.4 - 451 435 482 449 454 451 479 448 432 423 461 475...Ch. 4.4 - The time in minutes spent waiting in line for...Ch. 4.4 - A die was rolled several times, and the results...Ch. 4.4 - What percent of the standard normal z-...Ch. 4.4 - What percent of the standard normal z-...Ch. 4.4 - What percent of the standard normal z-...Ch. 4.4 - What percent of the standard normal z-...Ch. 4.4 - A population is normally distributed with mean...Ch. 4.4 - A population is normally distributed with mean...Ch. 4.4 - Find the following probabilities. a. p(0<z<1.62)...Ch. 4.4 - Find the following probabilities. a. p(0<z<1.42)...Ch. 4.4 - Find c such that each of the following is true. a....Ch. 4.4 - Find c such that each of the following is true. a....Ch. 4.4 - A population X is normally distributed with mean...Ch. 4.4 - A population X is normally distributed with mean...Ch. 4.4 - A population is normally distributed with mean...Ch. 4.4 - A population is normally distributed with mean...Ch. 4.4 - The mean weight of a box of cereal filled by a...Ch. 4.4 - The amount of time required to assemble a...Ch. 4.4 - The time it takes an acrylic paint to dry is...Ch. 4.4 - The shrinkage in length of a certain brand of blue...Ch. 4.4 - The mean volume of a carton of milk filled by a...Ch. 4.4 - The amount of time between taking a pain reliever...Ch. 4.4 - The results of a statewide exam for assessing the...Ch. 4.4 - Professor Harde assumes that exam scores are...Ch. 4.4 - The time it takes an employee to package the...Ch. 4.4 - The time it takes an employee to package the...Ch. 4.4 - What are the characteristics of a normal...Ch. 4.4 - Are all distributions of data normal distributed?...Ch. 4.4 - Why is total area under a bell curve equal to 1?.Ch. 4.4 - Why are there no negative z-numbers in the body...Ch. 4.4 - When converting an x-number to a z-number, what...Ch. 4.4 - Is it logical to assume that the heights of all...Ch. 4.4 - Is it reasonable to assume that the ages of all...Ch. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.5 - In exercises 1-4, use the body table in Appendix F...Ch. 4.5 - In exercises 1-4, use the body table in Appendix F...Ch. 4.5 - In exercises 1-4, use the body table in Appendix F...Ch. 4.5 - In exercises 1-4, use the body table in Appendix F...Ch. 4.5 - Find the z-number associated with a 92 level of...Ch. 4.5 - Find the z-number associated with a 97 level of...Ch. 4.5 - Find the z-number associated with a 75 level of...Ch. 4.5 - Find the z-number associated with a 85 level of...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 9-22, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 9-22, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - In Exercises 922, round off your answers sample...Ch. 4.5 - A survey asked, Can you imagine a situation in...Ch. 4.5 - A survey asked, Do you think that homeless people...Ch. 4.5 - A sample consisting of 430 men and 765 women was...Ch. 4.5 - A sample consisting of 942 men and 503 women was...Ch. 4.5 - A poll pertaining to environmental concerns had...Ch. 4.5 - A poll pertaining to educational goals had the...Ch. 4.5 - A recent poll pertaining to educational reforms...Ch. 4.5 - A recent poll pertaining to educational reforms...Ch. 4.5 - In exercises 29-32, you are planning a survey for...Ch. 4.5 - In exercises 29-32, you are planning a survey for...Ch. 4.5 - Prob. 31ECh. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.6 - A set of n=6 ordered pairs has the following sums:...Ch. 4.6 - A set of n=8 ordered pairs has the following sums:...Ch. 4.6 - A set of n=5 ordered pairs has the following sums:...Ch. 4.6 - Given the ordered pairs (4,40), (6,37), (8,34) and...Ch. 4.6 - Given the ordered pairs (5,5), (7,10), (8,11),...Ch. 4.6 - 6.Given the ordered pairs (5,20), (6,15), (10,14),...Ch. 4.6 - Given the ordered pairs (2,6), (3,12), (6,15),...Ch. 4.6 - 8.The unemployment rate and the amount of...Ch. 4.6 - 9.The average hourly earnings and the average...Ch. 4.6 - Prob. 10ECh. 4.6 - The amounts of rice and tobacco grown in the...Ch. 4.6 - The median home price and average mortgage rate in...Ch. 4.6 - Prob. 13ECh. 4.6 - Prob. 14ECh. 4.6 - Prob. 15ECh. 4.6 - Prob. 16ECh. 4.6 - Prob. 17ECh. 4.6 - Throughout the twentieth century, the record time...Ch. 4.6 - 19.Heart disease is a much less problem in France...Ch. 4.CR - Find a the mean, b the median, c the mode, and d...Ch. 4.CR - To study the compositions of the families in...Ch. 4.CR - Prob. 3CRCh. 4.CR - Prob. 4CRCh. 4.CR - Prob. 5CRCh. 4.CR - The mean salary of twelve men is $37000 and the...Ch. 4.CR - Prob. 7CRCh. 4.CR - Prob. 8CRCh. 4.CR - Prob. 9CRCh. 4.CR - Classify the following types of data as discrete,...Ch. 4.CR - Prob. 11CRCh. 4.CR - Prob. 12CRCh. 4.CR - Prob. 13CRCh. 4.CR - All incoming freshmen at a major university are...Ch. 4.CR - Prob. 15CRCh. 4.CR - Prob. 16CRCh. 4.CR - Prob. 17CRCh. 4.CR - Prob. 18CRCh. 4.CR - Prob. 19CRCh. 4.CR - Prob. 20CRCh. 4.CR - Prob. 21CRCh. 4.CR - Prob. 22CRCh. 4.CR - Prob. 23CRCh. 4.CR - Prob. 24CRCh. 4.CR - Prob. 25CRCh. 4.CR - Prob. 26CRCh. 4.CR - Prob. 27CRCh. 4.CR - Prob. 28CRCh. 4.CR - Answer the following questions using complete...
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