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Can my tutor please explain and answer all of the following question, please show your work Chapter 8.2 3. Revenue of Large Businesses A researcher

Can my tutor please explain and answer all of the following question, please show your work

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Chapter 8.2 3. Revenue of Large Businesses A researcher estimates that the average revenue of the largest businesses in the United States is greater than $24 billion. A random sample of 50 companies is selected, and the revenues (in billions of dollars) are shown. At a - 0.05. is there enough evidence to support the researcher's claim? Assume o - 28.7 24 5. Sick Days in Bed A researcher wishes to see if the average number of sick days a worker takes per year is greater than 5. A random sample of 32 workers at 0.01? a large department store had a mean of 5.6. The standard deviation of the population is 1.2. Is there enough evidence to support the researcher's claim at a = II. Weight Loss of Newborns An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or her life. He feels that in the hospital where he works, the average weight loss of a newborn baby is less than 7 ounces. A random sample of 32 newborn babies has a mean weight loss of 6.5 ounces. The population standard deviation is 1.8 ounces. Is there enough evidence at a = 0.01 to support his claim? 13. Dress Shirts In a previous study conducted several years ago, a man owned on average 15 dress shirts. The standard deviation of the population is 3. A researcher wishes to see if that es to see if that average has changed. He selected a random sample of 42 men and found that the average number of dress shirts that they owned was 13.8. At a = 0.05, is there enough evidence to support the claim that the average has changed? 15. Reject or Not State whether the null hypothesis should be rejected on the basis of the given P-value. a. P-value = 0.258, a = 0.05, one-tailed test b. P-value - 0.0684, a = 0.10, two-tailed test P-value = 0.0153, a = 0.01, one-tailed test d. P-value - 0.0232, a = 0.05, two-tailed test e. P-value - 0.002, a = 0.01, one-tailed test 17. Stopping Distances A study found that the average stopping distance of a school bus traveling so miles per hour was 264 feet. A group of automotive engineers decided to conduct a study of its school buses and found that for 20 randomly selected buses, the average stopping distance of bu stance of buses traveling 50 miles per hour was 262.3 feet. The standard deviation of the population was 3 feet. Test the claim that the average stopping distance of the company's buses is actually less than 264 feet. Find the P-value. On the basis of the P-value, should the null hypothesis be rejected at a = 0.01? Assume that the variable is normally distributed. 21. Farm Sizes The average farm size in the United States is 444 acres. A random sample of 40 farms in Oregon indicated a mean size of 430 acres, and the population standard deviation is 52 acres. At a - 0.05, can it be concluded that the average farm in Oregon differs from the national mean? Use the P-value method. Chapter 8.3 3. Find the critical value (or values) for the r test for each. a. n - 12, a = 0.01, left-tailed b. n = 16, a = 0.05, right-tailed c. n = 7, a = 0.10, two-tailed d. n = II, a = 0.025, right-tailed e. n = 10, a - 0.05, two-tailed 7. Cigarette Smoking A researcher found that a cigarette smoker smokes on average 31 cigarettes a day. She feels that this average is too high. She selected a random sample of 10 smokers and found that the mean number of cigarettes they smoked per day was 28. The sample standard deviation was 2.7. At a = 0.05 is there enough evidence to support her claim? 9. Heights of Tall Buildings A researcher estimates that the average height of the buildings of 30 or more stories in a large city is at least 700 feet. A random sample of 10 buildings is selected, and the heights in feet are shown. At a = 0.025, is there enough evidence to reject the claim? 485 511 841 725 615 520 535 635 616 582 13. Sleep Time A person read that the average number of hours an adult sleeps on Friday night to Saturday morning was 7.2 hours. The researcher feels that college students do not sleep 7.2 hours on average. The researcher randomly selected 15 students and found that on average they slept 8.3 hours. The standard deviation of the sample is 1.2 hours. At a = 0.05, is there enough evidence to say that college students do not sleep 7.2 hours on average? 17. Medical Operations The director of a medical hospital feels that her surgeons perform fewer operations per year than the national average of 211. She selected a random sample of 15 surgeons and found that the mean number of operations they performed was 208.8. The standard deviation of the sample was 3.8. Is there enough evidence to support the director's feelings at a = o.10? Would the null hypothesis be rejected at a = 0.01?Chapter 8.4 5. Life on Other Planets Forty-six percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 120 randomly selected individuals and found 48 believed that there is life on other planets. At a - 0.10, is there sufficient evidence to conclude that the percentage differs from 46? 7. Takeout Food A magazine article reported that I1% of adults buy takeout food every day. A fast-food restaurant owner surveyed 200 customers and found that 32 said that they purchased takeout food every day. At a - 0.02, is there evidence to believe the article's claim? Would the claim be rejected at a - 0.05? 9. Runaways A corrections officer read that 58% of runaways are female. He believes that the percentage is higher than 58. He selected a random sample of go runaways and found that 63 were female. At a - 0.05, can you conclude that his belief is correct? II. Automobiles Purchased An automobile owner found that 20 years ago, 76% of Americans said that they would prefer to purchase an American automobile. He believes that the number is much less than 76% today. He selected a random sample of 56 Americans and found that 38 said that they would prefer an American automobile. Can it be concluded that the percentage today is less than 76%? At a = 0.01, is he correct? Chapter 8.5 I. Using Table G, find the critical value(s) for each. Indicate the noncritical region or regions, and state the null and alternative hypotheses. Use q2 - 225. a. a = 0.10, n = 14, two-tailed b. a = 0.05, n = 27, right-tailed c. a = 0.01, n = 9, left-tailed d. a = 0.05, n = 17, right-tailed 5. Age of Psychologists Test the claim that the standard deviation of the ages of psychologists in Pennsylvania is 8.6 at a = 0.05. A random sample of 12 psychologists had a standard deviation of 9.3 9. Distances to Supermarkets A random sample of the distances in miles 8 shoppers travel to their nearest supermarkets is shown. Test the claim at a = 0.10 that the standard deviation of the distance shoppers travel is greater than 2 miles. 3.6 4.2 1.7 1.3 5.1 9.3 2.9 6.5 II. Tornado Deaths A researcher claims that the standard deviation of the number of deaths annually from tornadoes in the United States is less than 35. If a random sample of II years had a standard deviation of 32, is the claim believable? Use a = 0.05. 13. Nicotine Content of Cigarettes A manufacturer of cigarettes wishes to test the claim that the variance of the nicotine content of the cigarettes the company manufactures is equal to 0.638 milligram. The variance of a random sample of 25 cigarettes is 0.930 milligram. At a = 0.05, test the claim

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