cesConsider the trash bag problem. Suppose that an independent laboratory has tested trash bags and has found that no 30-gallon bagsthat are currently on the market have a mean breaking strength of 50 pounds or more. On the basis of these results, the producer ofthe new, improved trash bag feels sure that its 30-gallon bag will be the strongest such bag on the market if the new trash bag's meanbreaking strength can be shown to be at least 50 pounds. The mean of the sample of 44 trash bag breaking strengths in Table 1.10 is= 50.564. If we let u denote the mean of the breaking strengths of all possible trash bags of the new type and assume that o equals1.68:(a) Calculate 95 percent and 99 percent confidence intervals for . (Round your answers to 3 decimal places.)95 percent confidence intervals for u is99 percent confidence intervals for u is(b) Using the 95 percent confidence interval, can we be 95 percent confident that is at least 50 pounds?95 percent intervalis50

Given information: x¯=50.564σ=1.68n=44

Answered: Consider the trash bag problem. Suppose…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year 1,476 1,800 Occupied Rooms Total Rooms 1,422 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let P₁= population proportion of rooms occupied for current year P2 population proportion of rooms occupied for previous year - P2 less than or equal to 0 greater than 0 Ho P1 Ha P1 P2 b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year .80 X Previous Year .77 c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. Previous Year p-value = 0.0166 Using a 0.05 level of significance, what is your conclusion? We can conclude that there…
Suppose a car's city miles per gallon rating can be determined by the car's weight. The means and standard deviations of these variables and the correlation coefficient between them are reported in the following table: What proportion of the variability in cars' miles per gallon ratings is explained by the least squares line with weight?
The National Cancer Institute conducted a 2-year study to determine whether cancer death rates for areas near nuclear power plants are higher than for areas without nuclear facilities. A spokesperson for the Cancer Institute said, "From the data at hand, there was no convincing evidence of any increased risk of death from any of the cancers surveyed due to living near nuclear facilities." Let p denote the proportion of the population in areas near nuclear power plants who die of cancer during a given year. The researchers at the Cancer Institute have considered the null and alternative hypotheses below: А. Họ: p = value for areas without nuclear facilities Hạ: p> value for areas without nuclear facilities According to the spokesperson's statement, what is the conclusion of the National Cancer Institute? Select one of the following: Reject Ho Fail to reject Ho Reject Ha Fail to reject Ha
To determine if there is gender and/or race discrimination in car buying, a researcher put together a team of white males, black males, white females, and black females who were each asked to obtain an initial offer price from the dealer on a certain model car. The accompanying data are based on the results and represent the profit on the initial price offered by the dealer. Previous testing resulted in rejecting Ho: PWM HBM =HWF = HBF and concluding that the mean profit for the four race-gender groups differ. Use Tukey's test to determine which pairwise means differ using a familywise error rate of a = 0.05. Click the icon to view the data table. Use Tukey's test to determine which pairwise means differ using a familywise error rate of a = 0.05. Find the Tukey 95% simultaneous confidence intervals for all pairwise comparisons. The interval for the pairwise comparision HBM HWM is The interval for the pairwise comparision pwFPWM is The interval for the pairwise comparision HBF HWM is…
A student at a large university suspects Mr. Harsh is grading his statistics students too harshly. The student determines that over the past 2 years students in all sections of statistics (taught by other teachers) received grades of A, B, C, D, or F in the following proportions: A: 0.20; B: 0.30; C: 0.30; D: 0.10; and F: 0.10. The student then takes an SRS of 90 students who took statistics with Mr. Harsh in the past 2 years and gathers the following information: Grade Number of students B 26 12 28 15 The student performs the appropriate x procedure to test the hypothesis that the teacher's grade distribution is different from the other teachers, Which of the following expressions represents the expected count of the grade category D? O (0.10)(90) O 15? 90 (15-9) O (0.10)(15)
Genetic drugs are lower cost substitutes for brand-name drugs. Before a genetic drug can be sold in the United States, it must be tested found to perform equivalently to the brand-name product. The U.S. Food and Drug Administration is now supervising the testing of new genetic antifungal ointment. The Brand-name ointment is known to deliver a mean of 3.5 micrograms of active ingredient to each square centimeter of skin. As part of the testing, seven subjects apply the ointment. Six hours later, the amount of drugs that has been absorbed into the skin measured. The amounts, in micrograms, are 2.6, 3.2, 2.1, 3.0, 3.1, 2.9, 3.7 How strong is the evidence that the mean amount absorbed differs from 3.5 micrograms? Test by using a confidence interval with ?=0.05α=0.05. Show Step1-Step3. Round critical value to nearest hundredth. (e.g. 0.1256 would be entered as 0.13) Round confidence interval to nearest thousandth. (e.g. 0.12456 would be entered as 0.125)
An environmental group conducted a study to determine whether crows in a certain region were ingesting food containing unhealthy levels of lead. A biologist classified lead levels greater than 6.0 parts per million (ppm) as unhealthy and that the distribution of the population of crows was Normally distributed. The lead levels of a random sample of 23 crows in the region were measured and recorded. The mean lead level of the 23 crows in the sample was 4.90 ppm and the standard deviation was 1.12 ppm. B.A previous study of crows showed that the population standard deviation was at 2.6 ppm. What minimum sample size would be required to construct a 90 percent confidence interval to have a margin of error within 0.03?
Students at a major university in Southern California are complaining about a serious housing crunch. They are stating that many of the university's students have to commute too far to school because there is not enough housing near campus. The university officials' response is to perform a study. The study, reported in the school newspaper, contains the following histogram summarizing the commute distances for a sample of 100 students at the university. Relative frequency 0.3+ 0.2- 0.1+ 0.0 0 0.24 4 0.26 0.18 0.14 8 12 16 Commute distance (in miles) X 0.12 20 0.06 24 Based on the histogram, find the proportion of commute distances in the sample that are greater than or equal to 20 miles. Write your answer as a decimal, and do not round your answer.
Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.x 12.3 28.6 24.5 14.3 7.5 27.7 16.2 20.1y 23 72 39 23 15 30 15 25 a) Compute r. (Round your answer to four decimal places.)
Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents. x 10.9 30.4 24.5 14.3 7.5 27.7 16.2 20.1 y 23 76 39 23 15 30 15 25 (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. A scatter diagram has a horizontal axis labeled "x (student enrollment (in thousands))" with values from 7.5 to 30.4 and a vertical axis labeled "y (annual number of burglaries)" with values from 15 to 76. The scatter diagram has 8 points. A pattern goes up and…
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,360 1,386 Total Rooms 1,700 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let pi = population proportion of rooms occupied for current year Pa= population proportion of rooms occupied for previous year Ho : Pi - Pa H.: Pi - P2 Select your answer Select your answer b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year Previous Year c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. p-value - Using a 0.05 level of significance, what is your conclusion? We Select your answer- vthat there has…
Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidants in foods such as blueberries may reduce and even reverse these age-related declines (Joseph et al., 1999). To examine this phenomenon, suppose that a researcher obtains a sample of n = 16 adults who are between the ages of 65 and 75. The researcher uses a standardized test to measure cognitive performance for each individual. The participants then begin a 2-month program in which they receive daily doses of a blueberry supplement. At the end of the 2-month period, the researcher again measures cognitive performance for each participant. The results show an average increase in performance of MD = 7.4 with SS = 1215. Does this result support the conclusion that the antioxidant supplement has a significant effect on cognitive performance? Use a two-tailed test with α = .05. Show your computations.

SEE MORE QUESTIONS

Recommended textbooks for you

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

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

SEE MORE TEXTBOOKS