Fundamentals of Statistics Plus MyLab Statistics with Pearson eText - Title-Specific Access Card Package (5th Edition)
5th Edition
ISBN: 9780134763729
Author: Michael Sullivan III
Publisher: PEARSON
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Tim is interested in studying whether Cognitive Behavioural Therapy (CBT) is an effective treatment for Obsessive Compulsive Disorder (OCD). Six people who were diagnosed with OCD participated in Tim's study, where he recorded the number of times they washed their hands per day for one month. They were then given a three week intensive CBT program before their hand-washing was monitored for another month. The average number of times per day each participant washed their hands over the two months of observation are as follows:
Participant
Month 1
Month 2
1
11
6
2
8
5
3
14
17
4
10
10
5
22
11
6
15
10
Compute the appropriate statistic to determine whether the program was effective and use this information to fill in the blanks:
Q1. revealed that the number of times per day participants washed their hands following the CBT program was Q2. compared to the number of times per day participants washed their hands before the…
Do people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They
randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was described as a new
health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it
was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not
at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack.
The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger).
Treatment
Group
Healthy
Tasty
5 8 7
Hunger Rating
No Snack 3 4
4
4 1 4 2
7 3
6
2
5 6 5 5
4 7
5
2
3
4
6
4
4
Sample
Mean
5.6667
3.4444
4.2222
Sample…
Do people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was described as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack.
The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger).
TreatmentGroup
Hunger Rating
SampleMean
SampleStandardDeviation
Healthy
5
8
7
4
7
3
4
7
6
5.6667
1.7321
Tasty
4
1
5
2
6
2
5
3
4
3.5556…
Chapter 1 Solutions
Fundamentals of Statistics Plus MyLab Statistics with Pearson eText - Title-Specific Access Card Package (5th Edition)
Ch. 1.1 - Define statistics.Ch. 1.1 - Explain the difference between a population and a...Ch. 1.1 - A(n) _____ is a person or object that is a member...Ch. 1.1 - _____ statistics consists of organizing and...Ch. 1.1 - A(n) _____ is a numerical summary of a sample....Ch. 1.1 - are the characteristics of the individuals of the...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...
Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 45 and 46, identify the individuals,...Ch. 1.1 - In Problems 45 and 46, identify the individuals,...Ch. 1.1 - Smokers IQ A study was conducted in which 2011...Ch. 1.1 - A Cure for the Common Wart A study conducted by...Ch. 1.1 - NW Government Waste Gallup News Service conducted...Ch. 1.1 - Investment Decision The Gallup Organization...Ch. 1.1 - What Level of Measurement? It is extremely...Ch. 1.1 - Interpreting the Variable Suppose a fundraiser...Ch. 1.1 - Analyze the Article Read the newspaper article and...Ch. 1.1 - Contrast the differences between qualitative and...Ch. 1.1 - Discuss the differences between discrete and...Ch. 1.1 - In your own words, define the four levels of...Ch. 1.1 - Explain what is meant when we say data vary, How...Ch. 1.1 - Explain the process of statistics.Ch. 1.1 - The age of a person is commonly considered to be a...Ch. 1.2 - In your own words, define explanatory variable and...Ch. 1.2 - What is an observational study? What is a designed...Ch. 1.2 - Explain what is meant by confounding. What is a...Ch. 1.2 - Given a choice, would you conduct a study using an...Ch. 1.2 - What is a cross-sectional study? What is a...Ch. 1.2 - The data used in the influenza study presented in...Ch. 1.2 - Explain why it would be unlikely to use a designed...Ch. 1.2 - What does it mean when an observational study is...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - Happiness and Your Heart Is there an association...Ch. 1.2 - Daily Coffee Consumption Is there an association...Ch. 1.2 - NW Television in the Bedroom Is a television (TV)...Ch. 1.2 - Get Married, Gain Weight Are young couples who...Ch. 1.2 - Midwives Researchers Sally Tracy and associates...Ch. 1.2 - Web Page Design Magnum, LLC, is a web page design...Ch. 1.2 - Analyze the Article Write a summary of the...Ch. 1.2 - Putting It Together: Passive Smoke? The following...Ch. 1.3 - What is a frame?Ch. 1.3 - Define simple random sampling.Ch. 1.3 - What does it mean when sampling is done without...Ch. 1.3 - What is random sampling? Why is it used and how...Ch. 1.3 - Literature As part of a college literature course,...Ch. 1.3 - Team Captains A coach must select two players to...Ch. 1.3 - NW Course Selection A student entering a doctoral...Ch. 1.3 - Merit Badge Requirements To complete the...Ch. 1.3 - Sampling the Faculty A community college employs...Ch. 1.3 - Sampling the Students The same community college...Ch. 1.3 - NW Obtaining a Simple Random Sample The following...Ch. 1.3 - Obtaining a Simple Random Sample The following...Ch. 1.3 - Obtaining a Simple Random Sample The president of...Ch. 1.3 - Obtaining a Simple Random Sample The mayor of...Ch. 1.3 - Future Government Club The Future Government Club...Ch. 1.3 - Worker Morale The owner of a private food store is...Ch. 1.4 - Describe a circumstance in which stratified...Ch. 1.4 - Which sampling method does not require a frame?Ch. 1.4 - Why are convenience samples ill advised?Ch. 1.4 - A(n) _____ sample is obtained by dividing the...Ch. 1.4 - A(n) _____ sample is obtained by dividing the...Ch. 1.4 - True or False: When taking a systematic random...Ch. 1.4 - True or False: A simple random sample is always...Ch. 1.4 - True or False: When conducting a cluster sample,...Ch. 1.4 - True or False: Inferences based on voluntary...Ch. 1.4 - True or False: When obtaining a stratified sample,...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - Prob. 15AYUCh. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - Prob. 19AYUCh. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - A salesperson obtained a systematic sample of size...Ch. 1.4 - Prob. 24AYUCh. 1.4 - NW Stratified Sampling The Future Government Club...Ch. 1.4 - Stratified Sampling The owner of a private food...Ch. 1.4 - NW Systematic Sample The human resource department...Ch. 1.4 - Prob. 28AYUCh. 1.4 - Which Method? The mathematics department at a...Ch. 1.4 - Good Sampling Method? To obtain students opinions...Ch. 1.4 - Sample Design The city of Naperville is...Ch. 1.4 - Prob. 32AYUCh. 1.4 - Sample Design Target wants to open a new store in...Ch. 1.4 - Prob. 34AYUCh. 1.4 - Prob. 35AYUCh. 1.4 - Sample Design A marketing executive for Coca-Cola....Ch. 1.4 - Putting It Together: Comparing Sampling Methods...Ch. 1.4 - Putting It Together: Thinking about Randomness...Ch. 1.5 - What is a closed question? What is an open...Ch. 1.5 - Prob. 2AYUCh. 1.5 - What is bias? Name the three sources of bias and...Ch. 1.5 - What is closed question? What is an open question?...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - Prob. 13AYUCh. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - Prob. 15AYUCh. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - Response Rates Surveys tend to suffer from low...Ch. 1.5 - Delivery Format The General Social Survey asked,...Ch. 1.5 - Prob. 19AYUCh. 1.5 - Order of the Questions Consider the following two...Ch. 1.5 - Improving Response Rates Suppose you are reading...Ch. 1.5 - Rotating Choices Consider this question from a...Ch. 1.5 - Random Digit Dialing Many polls use random digit...Ch. 1.5 - Caller ID How do you think caller ID has affected...Ch. 1.5 - Prob. 25AYUCh. 1.5 - Prob. 26AYUCh. 1.5 - Exit Polling During every election, pollsters...Ch. 1.5 - Prob. 29AYUCh. 1.5 - Name two biases that led to the Literary Digest...Ch. 1.5 - The Challenge in Polling One of the challenges in...Ch. 1.5 - Why is it rare for frames to be completely...Ch. 1.5 - Prob. 37AYUCh. 1.5 - Discuss the benefits of having trained...Ch. 1.5 - What are the advantages of having a presurvey when...Ch. 1.5 - Discuss the pros and cons of telephone interviews...Ch. 1.5 - Prob. 41AYUCh. 1.5 - Prob. 42AYUCh. 1.5 - Prob. 43AYUCh. 1.5 - Prob. 44AYUCh. 1.6 - Define the following: a. Experimental unit b....Ch. 1.6 - What is replication in an experiment?Ch. 1.6 - Explain the difference between a single-blind and...Ch. 1.6 - A(n) _____ _____ design is one in which each...Ch. 1.6 - Prob. 5AYUCh. 1.6 - Prob. 6AYUCh. 1.6 - NW Chew Your Food Researchers wanted to determine...Ch. 1.6 - Alcohol Dependence To determine if topiramate is a...Ch. 1.6 - NW School Psychology A school psychologist wants...Ch. 1.6 - Pharmacy A pharmaceutical company has developed an...Ch. 1.6 - NW Whiter Teeth An ad for Crest Whitestrips...Ch. 1.6 - Assessment To help assess student learning in her...Ch. 1.6 - Insomnia Researchers wanted to test the...Ch. 1.6 - Prob. 14AYUCh. 1.6 - The Memory Drug? Researchers wanted to evaluate...Ch. 1.6 - Shrinking Stomach? Researchers wanted to determine...Ch. 1.6 - Dominant Hand Professor Andy Neill wanted to...Ch. 1.6 - Golf Anyone? A local golf pro wanted to compare...Ch. 1.6 - Drug Effectiveness A pharmaceutical company wants...Ch. 1.6 - Prob. 20AYUCh. 1.6 - Green Tea You wonder whether green tea lowers...Ch. 1.6 - Priming for Healthy Food Does alerting shoppers at...Ch. 1.6 - Batteries An engineer wants to determine the...Ch. 1.6 - Tire Design An engineer has just developed a new...Ch. 1.6 - Designing an Experiment Researchers want to know...Ch. 1.6 - Research the placebo effect and the Hawthorne...Ch. 1.6 - Coke or Pepsi You want to perform an experiment...Ch. 1.6 - The Dictator Game In their book SuperFreakonomics,...Ch. 1.6 - Ebola In October 2014, there was an Ebola breakout...Ch. 1.6 - What is the role of randomization in a designed...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - List and describe the three major types of...Ch. 1 - What is meant by the process of statistics?Ch. 1 - List and explain the three sources of bias in...Ch. 1 - Distinguish between sampling and nonsampling...Ch. 1 - Explain the steps in designing an experiment.Ch. 1 - Number of new automobiles sold at a dealership on...Ch. 1 - Weight in carats of an uncut diamondCh. 1 - Brand name of a pair of running shoesCh. 1 - In Problems 14 and 15, determine whether the...Ch. 1 - In Problems 14 and 15, determine whether the...Ch. 1 - In Problems 1619, determine the level of...Ch. 1 - In Problems 1619, determine the level of...Ch. 1 - In Problems 1619, determine the level of...Ch. 1 - In Problems 1619, determine the level of...Ch. 1 - In Problems 20 and 21, determine whether the study...Ch. 1 - In Problems 20 and 21, determine whether the study...Ch. 1 - Read the following description of an observational...Ch. 1 - In Problems 2326, determine the type of sampling...Ch. 1 - In Problems 2326, determine the type of sampling...Ch. 1 - In Problems 2326, determine the type of sampling...Ch. 1 - In Problems 2326, determine the type of sampling...Ch. 1 - Each of the following surveys has bias. Determine...Ch. 1 - Obtaining a Simple Random Sample The mayor of a...Ch. 1 - Obtaining a Systematic Sample A quality-control...Ch. 1 - Obtaining a Simple Random Sample Based on the...Ch. 1 - Tooth-Whitening Gum Smoking and drinking coffee...Ch. 1 - Reaction Time Researchers wanted to assess the...Ch. 1 - Multiple Choice A common tip for taking...Ch. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 38RECh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - In Problems 35, determine if the variable is...Ch. 1 - In Problems 35, determine if the variable is...Ch. 1 - In Problems 35, determine if the variable is...Ch. 1 - In Problems 6 and 7, determine whether the study...Ch. 1 - In Problems 6 and 7, determine whether the study...Ch. 1 - Contrast the three major types of observational...Ch. 1 - Compare and contrast observational studies and...Ch. 1 - Prob. 10CTCh. 1 - List the steps required to conduct an experiment.Ch. 1 - Prob. 12CTCh. 1 - A congresswoman wants to survey her constituency...Ch. 1 - Prob. 14CTCh. 1 - A casino manager wants to inspect a sample of 14...Ch. 1 - Describe what is meant by an experiment that has a...Ch. 1 - Each of the following surveys has bias. Identify...Ch. 1 - Shapely Glasses Does the shape of a glass play a...Ch. 1 - Nucryst Pharmaceuticals, Inc., announced the...Ch. 1 - Researchers Katherine Tucker and associates wanted...Ch. 1 - Explain the difference between a lurking variable...Ch. 1 - CASE STUDY Chrysalises for Cash The butterfly...Ch. 1 - CASE STUDY Chrysalises for Cash The butterfly...Ch. 1 - CASE STUDY Chrysalises for Cash The butterfly...Ch. 1 - CASE STUDY Chrysalises for Cash The butterfly...
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- What is an experiment?arrow_forwardA doctor wanted to study the effect of four different treatments on mental health. A group of 100 adults experiencing depression volunteered for the study. The doctor randomly assigned one-fourth of them to each of four groups. Group 1 followed a specific exercise plan, group 2 followed a specific diet plan, group 3 followed an exercise and diet plan, and group 4 did not follow any plan. After 4 weeks, the doctor contacted each participant and asked them if they felt any better. The results are displayed in the table. The doctor would like to know if these data provide convincing evidence that the distribution of responses differs across the treatment groups in the population of all patients like these. Are the conditions for inference met? No, the random condition is not met. No, the 10% condition is not met. No, the Large Counts condition is not met. Yes, all three conditions for inference are met.arrow_forwardA doctor wanted to study the effect of four different treatments on mental health. A group of 100 adults experiencing depression volunteered for the study. The doctor randomly assigned one-fourth of them to each of four groups. Group 1 followed a specific exercise plan, group 2 followed a specific diet plan, group 3 followed an exercise and diet plan, and group 4 did not follow any plan. After 4 weeks, the doctor contacted each participant and asked them if they felt any better. The results are displayed in the table. The doctor would like to know if these data provide convincing evidence that the distribution of responses differs across the treatment groups in the population of all patients like these. The random condition is met. The 10% condition is not needed because random sampling did not take place. This table of expected counts shows that all expected counts are at least 5. What is the value of the chi-square test statistic? χ‑2 = 5.03 χ‑2 = 6.26 χ‑2 = 25.33 χ‑2 = 39.22arrow_forward
- A doctor wanted to study the effect of four different treatments on mental health. A group of 100 adults experiencing depression volunteered for the study. The doctor randomly assigned one-fourth of them to each of four groups. Group 1 followed a specific exercise plan, group 2 followed a specific diet plan, group 3 followed an exercise and diet plan, and group 4 did not follow any plan. After 4 weeks, the doctor contacted each participant and asked them if they felt any better. The results are displayed in the table. The doctor would like to know if these data provide convincing evidence that the distribution of responses differs across the treatment groups in the population of all patients like these. The random condition is met. The 10% condition is not needed because random sampling did not take place. This table of expected counts shows that all expected counts are at least 5. The value of the chi-square test statistic is χ‑2 = 25.33. What are the degrees of freedom and…arrow_forwardDo people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was billed as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack. The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger). Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.)…arrow_forwardDo people feel hungrier after sampling a healthy food? The authors of a consumer research paper carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was billed as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack. The data in the table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger). Treatment Group Hunger Rating Sample Mean Sample Standard Deviation Healthy 5 7 7 4 7 3 4 7 6 5.6 1.59 Tasty 4 1 5 2 6 2 5 3 4 3.6 1.67 No Snack 3 4 5…arrow_forward
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