Elementary Statistics
12th Edition
ISBN: 9780321837936
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 8.4, Problem 33BB
To determine
To find: The critical t values.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
b.
Math Score(x)
4
7
10
13
16
Frequency(f)
4
Provide a scenario for which you would use a related t-test and explain how we would use the calculated t value.
A researcher tested two new exercise routines, PowerHour, and MightyFifty on reducing heart rate. For Power Hour, each participant performs a
routine consisting of 50 each of jumping jacks, push-ups, and sit ups in two 30-minute sessions every week for 6 weeks. With the MightyFIfty, the
participants perform the same routine but only for a total of 50 minutes each week.
At the end of the six week period, he measured the heart rate of the participants. At the beginning, the mean of participants' heart rate was 71.5.A
the end of the study, the mean heart rate of 6 participants in the PowerHour program was 69.5 with variance of 2.1, while that of 5 participants in th
Mighty-Fifty program was 68.9 with standard deviation of 1.5.
The researcher concluded that the MightyFifty Program is significantly better in lowering the heart rate than the PowerHour Program.
Is his claim true?
Answer by first completing the calculation of each of the following and then explaining the t-value obtained!
Copy…
Chapter 8 Solutions
Elementary Statistics
Ch. 8.2 - MMs and Aspirin A package label includes a claim...Ch. 8.2 - Estimates and Hypothesis Tests Data Set 20 in...Ch. 8.2 - Mean Body Temperature A formal hypothesis test is...Ch. 8.2 - Interpreting P-value The Ericsson method is one of...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Stating Conclusions About Claims. In Exercises...Ch. 8.2 - Forming Conclusions. In Exercises 9-12, refer to...Ch. 8.2 - Forming Conclusions. In Exercises 9-12, refer to...
Ch. 8.2 - Prob. 11BSCCh. 8.2 - Forming Conclusions. In Exercises 9-12, refer to...Ch. 8.2 - Prob. 13BSCCh. 8.2 - Finding Test Statistics. In Exercises 13-16 find A...Ch. 8.2 - Prob. 15BSCCh. 8.2 - Finding Test Statistics. In Exercises 13-16 find A...Ch. 8.2 - Prob. 17BSCCh. 8.2 - Finding P-Values and Critical Values. In Exercises...Ch. 8.2 - Prob. 19BSCCh. 8.2 - Finding P-Values and Critical Values. In Exercises...Ch. 8.2 - Prob. 21BSCCh. 8.2 - Finding P-Values and Critical Values. In Exercises...Ch. 8.2 - Finding P-Values and Critical Values. In Exercises...Ch. 8.2 - Prob. 24BSCCh. 8.2 - Prob. 25BSCCh. 8.2 - Stating Conclusions. In Exercises 25-28, assume a...Ch. 8.2 - Prob. 27BSCCh. 8.2 - Stating Conclusions. In Exercises 25-28, assume a...Ch. 8.2 - Prob. 29BSCCh. 8.2 - Terminology. In Exercises 29 and 30, use the given...Ch. 8.2 - Prob. 31BSCCh. 8.2 - Type I and Type II Errors. In Exercises 31-34,...Ch. 8.2 - Type I and Type II Errors. In Exercises 31-34,...Ch. 8.2 - Prob. 34BSCCh. 8.2 - Interpreting Power Chantix tablets are used as an...Ch. 8.2 - Calculating Power Consider a hypothesis test of...Ch. 8.2 - Finding Sample Size to Achieve Power Researchers...Ch. 8.3 - Prob. 1BSCCh. 8.3 - Prob. 2BSCCh. 8.3 - Prob. 3BSCCh. 8.3 - Prob. 4BSCCh. 8.3 - Using Technology. In Exercises 5-8, identify the...Ch. 8.3 - Prob. 6BSCCh. 8.3 - Prob. 7BSCCh. 8.3 - Prob. 8BSCCh. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Prob. 10BSCCh. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Prob. 13BSCCh. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Prob. 29BSCCh. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Testing Claims About Proportions. In Exercises...Ch. 8.3 - Prob. 33BSCCh. 8.3 - Large Data Sets. In Exercises 33 and 34, use the...Ch. 8.3 - Prob. 35BBCh. 8.3 - Using Confidence Intervals to Test Hypotheses When...Ch. 8.3 - Prob. 37BBCh. 8.4 - Video Games: Checking Requirements Twelve...Ch. 8.4 - df If we are using the sample data from Exercise 1...Ch. 8.4 - Prob. 3BSCCh. 8.4 - Prob. 4BSCCh. 8.4 - Prob. 5BSCCh. 8.4 - Prob. 6BSCCh. 8.4 - Finding P-values. In Exercises 5-8, either use...Ch. 8.4 - Finding P-values. In Exercises 5-8, either use...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Prob. 10BSCCh. 8.4 - Prob. 11BSCCh. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Prob. 14BSCCh. 8.4 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Prob. 17BSCCh. 8.4 - Prob. 18BSCCh. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 13-24, assume...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Testing Hypotheses. In Exercises 9-24, assume that...Ch. 8.4 - Large Data Sets from Appendix B. In Exercise...Ch. 8.4 - Large Data Sets from Appendix B. In Exercise...Ch. 8.4 - Prob. 27BSCCh. 8.4 - Prob. 28BSCCh. 8.4 - Prob. 29BBCh. 8.4 - Prob. 30BBCh. 8.4 - Hypothesis Tests with Known . In Exercises 29-32,...Ch. 8.4 - Hypothesis Tests with Known . In Exercises 29-32,...Ch. 8.4 - Prob. 33BBCh. 8.4 - Prob. 34BBCh. 8.4 - Interpreting Power For Example 1 in this section,...Ch. 8.5 - Requirements If we want to use the sample data...Ch. 8.5 - Confidence Interval Method of Hypothesis Testing...Ch. 8.5 - Hypothesis Test For the sample data from Exercise...Ch. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Prob. 8BSCCh. 8.5 - Prob. 9BSCCh. 8.5 - Prob. 10BSCCh. 8.5 - Prob. 11BSCCh. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Prob. 13BSCCh. 8.5 - Prob. 14BSCCh. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Testing Claims About Variation. In Exercises 5-16,...Ch. 8.5 - Prob. 17BSCCh. 8.5 - Prob. 18BSCCh. 8.5 - Prob. 19BBCh. 8.5 - Prob. 20BBCh. 8 - Wristwatch Accuracy Students of the author...Ch. 8 - Wristwatch Accuracy Students of the author...Ch. 8 - Prob. 3CQQCh. 8 - Normality For the hypothesis test in Exercise 1,...Ch. 8 - Prob. 5CQQCh. 8 - P-Value Kind the P-value in a test of the claim...Ch. 8 - Prob. 7CQQCh. 8 - Prob. 8CQQCh. 8 - Conclusions True or false: In hypothesis testing,...Ch. 8 - Prob. 10CQQCh. 8 - Prob. 1RECh. 8 - Leisure Time In a Gallup poll, 1010 adults were...Ch. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Monitoring Lead in Air Listed below are measured...Ch. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Dictionary Words A simple random sample of pages...Ch. 8 - Prob. 2CRECh. 8 - Prob. 3CRECh. 8 - Hypothesis Test for Dictionary Words Refer to the...Ch. 8 - Prob. 5CRECh. 8 - Prob. 6CRECh. 8 - Prob. 7CRECh. 8 - Prob. 8CRECh. 8 - Prob. 9CRECh. 8 - Prob. 10CRE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.arrow_forwardTable 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?arrow_forwardbThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forward
- Find the mean hourly cost when the cell phone described above is used for 240 minutes.arrow_forwardWe analyze a data set with Y = stopping distance of a car and X = speed of the car when the brakes were applied, %3D and after running the data in STATISTICA, we obtain the following results. Std.Err. of b Std.Err. of b* t(61) p-value b* N=63 Intercept Speed -20.2734 3.1366 -6.26038 20.67978 0.000000 0.000000 3.238368 0.935504 0.045238 0.151674 Sums of df Mean p-value Squares Squares 59540.15 Effect 59540.15 427.6534 0.000000 Regress. Residual 1 8492.74 61 139.23 Total 68032.89 Speed X StopDist Y Speed squared StopDist squared Speed StopDist 65853 Total 1195 2471 28719 164951 One of the observations is (X = 39, Y = 138). The value of the internal studentized residual is . (final answer to 2 decimal places e.g. 2.12) Hence, the point (39, 138) an outlier. (choose from is or is not)arrow_forwardResearchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results given below are among the results obtained in the study. Higher scores correspond to greater pain levels. Is this study an experiment or an observational study? Explain. Reduction in Pain Level After Magnet Treatment: n= 20, x = 0.493, s= 0.957 Reduction in Pain Level After Sham Treatment: n = 20, x = 0.436, s= 1.42 Choose the correct answer below. O A. The study is an experiment because the subjects are a systematic sample. O B. The study is an observational study because there was no attempt to modify the individuals being studied. O c. The study is an experiment because subjects were given treatments. O D. The study is an observational study because the subjects are a simple random sample.arrow_forward
- Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results given below are among the results obtained in the study. Higher scores correspond to greater pain levels. Is this study an experiment or an observational study? Explain. Reduction in Pain Level After Magnet Treatment: n = 20, x = 0.486, s = 0.964 Reduction in Pain Level After Sham Treatment: n = 20, x = 0.436, s = 1.44 ..... Choose the correct answer below. A. The study is an observational study because there was no attempt to modify the individuals being studied. B. The study is an experiment because the subjects are a systematic sample. C. The study is an experiment because subjects were given treatments. D. The study is an observational study because the subjects are a simple random sample.arrow_forwardAn industrial psychologist is concerned that a recent round of layoffs at a plant may have increased the stress felt by employees who retained their positions. To measure whether this survivor stress actually exist the psychologist administered a stress measurement to a sample of employees before and after the layoffs occurred. Use α = .01. (4) Employee Stress Score (X₁) Stress Score (X₂) A 21 23 B 24 26 C 15 15 D 18 22 E 19 20 F 20 19 G 18 21 a. Does a recent round of layoffs at a plant significantly increase the stress level? b. Compute the 90% confidence intervalarrow_forwardPls show work so I can understandarrow_forward
- Find the z-score corresponding to the given value and use the z-score to determine whether the value is significantly low or high. Consider a score to be significantly low if its z-score is less than or equal to -2. Consider a z-score to be significantly high if it is greater than or equal to 2. Round the z-score to the nearest tenth if necessary. A body temperature of 96.7° F given that human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°.arrow_forwardConsider the model y=-2.45x+7.18 derived from data between x=4 and x=10. What value of x represents interpolation of the data?arrow_forwardThe data found below measure the amounts of greenhouse gas emissions from three types of vehicles. The measurements are in tons per year, expressed as CO2 equivalents. Use a 0.025significance level to test the claim that the different types of vehicle have the same mean amount of greenhouse gas emissions. Based on the results, does the type of vehicle appear to affect the amount of greenhouse gas emissions? Determine the test statistic. F= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to two decimal places as needed.) What is the conclusion of the test? the null hypothesis. Conclude that the type of vehicleappear to affect the amount of greenhouse gas emissions for these three types.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License