MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Question
thumb_up100%
Transcribed Image Text:The following data represent a sample of people's smoking habits and their usage of seat belts while
in a car. A researcher wants to determine whether smoking habits and seat belt usage are related.
Test the researcher's claim at the a 0.05 level of significance.
Smoke
Do not Smoke
*Source: Harris Poll
No Seat Belt Seat Belt
67
327
448
2,187
a. Determine the null and alternative hypotheses.
O Ho: Smoking habits and seat belt usage have the same distribution.
Ha: Smoking habits and seat belt usage follow a different distribution.
OH :Smoking habits and seat belt usage are independent.
Ha: Smoking habits and seat belt usage are dependent.
b. Determine the test Statistic. Round to two decimal places.
x² =
c. Determine the p-value. Round to four decimal places.
p-value=
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 5 steps with 3 images
Knowledge Booster
Similar questions
- A primary measure of dispersion for sample data is the sample standard deviation, s. Choose the best option to explain what the meaning of the sample standard deviation is, in general. A. The distance between one observation and the mean. B. The average distance of an observation from the middle of the distribution. C. The average distance between observations in the sample. D. The distance between the third and first quartiles.arrow_forwarda. Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City is higher than the national mean. Ho: $21.5 Ha: >21.5 b. What is a point estimate of the difference between mean annual consumption in Webster City and the national mean? (2 decimals) c. At a = 0.01, test for a significant difference by completing the following. Calculate the value of the test statistic (2 decimals). The p-value is Reject the null hypothesis? (4 decimals) Yes v What is your conclusion? Conclude the population mean consumption of milk in Webster City is greater thaarrow_forwardThe average house has 15 paintings on its walls. Is the mean larger for houses owned by teachers? The data show the results of a survey of 16 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal. 18, 15, 17, 14, 16, 17, 18, 15, 15, 14, 14, 14, 15, 15, 16, 18 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: Select an answer v H1: Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly more than 15 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in…arrow_forward
- A researcher wanted to test whether there is a relationship between preferred sweet (Oreo cookies, Mars bars, or Twinkies) and age group (children, adolescents, or young adults). To test that, subjects from the three age groups were asked which of the three sweets they preferred. Which statistical test should be used to analyze the data? 1. chi square test of independece 2. chi square test for goodness of fit 3. one sample t test 4. one way anova testarrow_forwardAnswer.arrow_forwardConsider the following data: −10, −10, 0, 3, −10, 3, 3 Step 1 of 3: Calculate the value of the sample Variance. Round your answer to one decimal place. Step 2 of 3: Calculate the value of the sample deviation. Round your answer to one decimal place. Step 3 of 3: Calculate the value of the range.arrow_forward
- Night Owls proportion of MSU students who regularly sleep less than 8 hours each night is less than the value reported by the MSU psychologist. She randomly selects 215 students and asks them, "Do you regularly sleep less than 8 hours each night?" She finds that 90 of the 215 students answered "yes" to the question. A MSU psychologist reports that 45% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actualarrow_forward12. Stem and leaf Plot: (Sample )Variable: Gas $ Key: 12 = 1:2 1 : 2 2 : 3 : 4 : 5 : 55 6 : 7 : 88 8 : 9 12a. Use the above Stem and leaf plot and calculate the range. 12b. Use the above Stem and leaf plot and calculate the Quadratic Mean. 12c. Calculate the upper fence. 12d. Estimate the standard deviation.arrow_forwardA. Sam's times varied more over the season that Mike's times. B. Sam's times varied about the same over the season as Brett's times. C. Brett's times varied more over the season than Mike's times. D. Mike's times varied more over the season than Brett's times.arrow_forward
- A random sample of 13 men and 19 women in a college class reported their grade point averages (GPAS). A woman in the class says that she believes that college women tend to have higher GPAS than do college men. Does this sample support her claim? Histogram of HGPA Histogram al WGPA 13 20 25 10 as 125 Summary statistics for these data are: 2.898 0.583 Women 3.330 | 0.395 Men What is the test statistic? [Enter t score to 2 decimal places] * Your answer Create and interpret a 95% confidence interval. Enter the low value of confidence interval to four decimal places. Your answer Enter the high value of confidence interval to four decimal places. Your answerarrow_forwardQuestion 2 > The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do twenty- year-olds have a different number of cavities? The data show the results of a survey of 14 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 7, 8, 7, 7, 9, 7, 10, 9, 8, 10, 6, 9, 6, 8 What can be concluded at the a = 0.05 level of significance? %3D a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: |? Select an answer H1: Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that . The data suggest the populaton mean is significantly different from 7 at a = 0.05, so there is sufficient evidence to conclude that the…arrow_forwardWhich of the following are measures of central tendency? Four answers correct. 1. Arithmetic mean 2. The second quartile 3. Variance 4. Median 5. Interquartile range 6. Standard deviation 7. Range 8. Mode 9. Coefficient of variationarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman