Absorption of Moisture in Concrete Aggregates Aggregate: 1 2 3 4 5 551 595 639 417 563 457 580 615 449 631 450 508 511 517 522 731 583 573 438 613 499 633 648 415 656 632 517 677 555 679 Test the hypothesis at 0.05 level of significance that the average absorption of moisture in concrete aggregates are the same for the five groups. What is the sum of squares within? Round-off answer to 2 decimal places
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- a Light bulb manufacturer advertises that the average life for its light bulbs is 900 hours. A random sample of 10 of its light bulbs resulted in the following lives in hours. 993 595 512 839 739 917 871 755 918 729. At the 10% significance level, test the claim that the sample is from a population with a mean life of 900 hours. Use the P value method of testing hypothesisA random sample of enrollments from medical schools that specialize in research and fromthose that are noted for primary care is listed. At a = 0.01 is there sufficient evidence toconclude that there is a difference in average enrollment based on the sample data? Research 474 783 813 692 884 577 605 467 670 443 565 694 277 663 414 696 419 783 546 442 662 605 427 474 371 587 293 555 527 728 107 277 320Teaching Assistants’ Stipends. A random sample of stipends of teaching assistants in economics is listed. Is there sufficient evidence at the alpha=0.05 level to conclude that the average stipend differs from $15,000? The stipends listed (in dollars) are for the academic year. 14,000 15,000 13,000 14,356 13,185 13,419 14,000 11,981 15,604 12,283 15,338 15,000
- A domestic manufacturer of watches purchases quartz crystals from a Swiss firm. Thecrystals are shipped in lots of 1000. The acceptance sampling procedure uses 20 randomlyselected crystals.a. Construct operating characteristic curves for acceptance numbers of 0, 1, and 2.Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual salaries are shown in thousands of dollars. Public Accountant Financial Planner 51.2 48.0 58.8 50.2 57.3 53.1 59.2 56.9 55.2 52.9 56.0 54.6 49.9 49.7 60.5 54.9 56.0 51.8 50.9 49.9 (a) Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planners. State the null and alternative hypotheses. H0: Median salary for public accountants − Median salary for financial planners > 0Ha: Median salary for public accountants − Median salary for financial planners = 0H0: The two populations of salaries are not identical.Ha: The two populations of salaries are identical. H0: The two populations of salaries are identical.Ha: The two populations of salaries are not identical.H0: Median salary for public accountants − Median salary for…Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual salaries are shown in thousands of dollars. Public Accountant Financial Planner 50.2 48.0 59.8 50.2 57.3 54.1 59.2 56.9 53.2 50.9 54.0 54.6 50.9 48.7 59.5 52.9 57.0 50.8 52.9 48.9 (a) Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planners. State the null and alternative hypotheses. H0: The two populations of salaries are identical.Ha: The two populations of salaries are not identical. H0: Median salary for public accountants − Median salary for financial planners > 0Ha: Median salary for public accountants − Median salary for financial planners = 0 H0: Median salary for public accountants − Median salary for financial planners ≥ 0Ha: Median salary for public accountants − Median salary for financial planners…
- Samples of starting annual salaries for individuals entering the public accounting and financial planning professions follow. Annual salaries are shown in thousands of dollars. Public Accountant Financial Planner 50.2 48.0 59.8 50.2 56.3 53.1 59.2 55.9 55.2 52.9 56.0 52.6 51.9 48.7 60.5 53.9 58.0 52.8 50.9 49.9 (a) Use a 0.05 level of significance and test the hypothesis that there is no difference between the starting annual salaries of public accountants and financial planners. State the null and alternative hypotheses. H0: The two populations of salaries are identical.Ha: The two populations of salaries are not identical. H0: Median salary for public accountants − Median salary for financial planners > 0Ha: Median salary for public accountants − Median salary for financial planners = 0 H0: Median salary for public accountants − Median salary for financial planners ≥ 0Ha: Median salary for public accountants − Median salary for financial…Benzene is a pollutant that, according to studies, can be associated with health problems. Benzene is found in air, water, and soil and comes from both industrial and natural sources. Benzene levels in indoor air are generally higher than outdoors. The main source of benzene in indoor air appears to be tobacco smoke, thus the combustion of tobacco is a major source of pollution. Benzene levels are measured in a random sample of 36 bars in a city, obtaining an average benzene level of 19.2 mg / m3, with a standard deviation of 2.1 mg / m3. Estimate the mean benzene level in bars in this city using a 95% confidence interval. (do your calculations to 4 decimal places) (need the process can be by hand ,Excel or R.) a)Other solution b)[18.48946, 19.91054] c)[19.0950, 19.3050] d)[18.5140, 19.8859] e)[18.6243, 19.7757] f)[18.4315, 19.7936]The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. Is this number (one-third) a parameter or a statistic? Explain. What symbol is used to represent the number? What does the Central Limit Theorem say about how the sample proportion of households who own a pet cat could vary under repeated random sampling? Comment on shape, center, and spread of the distribution. Also draw a well-labeled sketch of this sampling distribution. Still supposing that one-third of all American households own a pet cat, between what two values do you expect 95% of all sample proportions to fall? Explain why the interval in part (3) turns out to be so narrow. This survey found that 31.6% of the households sampled owned a pet cat. Is this number a parameter or a statistic? Explain. What symbol is used to represent the value? Indicate this…
- A survey across generations of workers gathered data on engagement at work. The results for a sample of 1,000 workers are in the accompanying contingency table. At the 0.10level of significance, is there evidence of a significant relationship between generation and level of engagement in the workplace? Contingency Table GENERATION LEVEL OF ENGAGEMENT Millennials Gen Xers Baby Boomers Traditionalists Total Engaged 96 110 94 12 312 Not Engaged 199 176 130 10 515 Actively Disengaged 53 59 54 7 173 Total Question content area bottom Part 1 What are the null and alternative hypotheses to test? H0: No relationship exists between generation and level of engagement. H1: A relationship exists between generation and level of engagement. Part 2…A recent poll found that 664 out of 1026 randomly selected people in a particular country felt that colleges and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for the CLT are met, use the accompanying Minitab output to complete parts a and b below. N Event Sample p 95% CI for p 1026 664 0.647173 (0.617934, 0.676413) Question content area bottom b. Suppose a sports blogger wrote an article claiming that a majority of adults from this country believe that colleges and universities with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the blogger's claim? Explain your reasoning. A. No, it is not a plausible claim because the confidence interval contains 50%. B. No, it is not a plausible claim because the confidence interval does not contain only values above 50%. C. Yes, it is a…Researchers recruited a sample group of older adults and a sample group of younger adults for a study on memory. Their ages are below. Older adults: Younger adults:Age Age2 Age Age250 2500 22 48472 5184 24 57664 4096 30 90078 6084 21 44155 3025 26 67684 7056 28 78467 4489 27 72965 4225 19 36170 4900 32 1024 Which group has greater variability in age? Group of answer choices