MEAN NUMBER OF FISH IN TREATMENT COMPARTMENTS/DAY 30 25 20 15 10 (HF) FOOD NO PREDATOR (HF-P) FOOD PREDATOR (LF) (LF-P) NOFOOD NO FOOD NO PREDATOR PREDATOR FIG. 1-Mean number of fish found in treatment compartments in the artificial stream under six observations of each of the four experimental conditions Vertical lines represent two standard errors.
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- the mean lung capacity for nonsmoking males in the population aged 50 is 2.2 liters. an investigator wants to examine if the mean lung capacity are significantly diffrent among former smokers of similar background(i.e, males aged 50 who smoked in the past and are not currently smoker). a random sample of 28 former smokers is selected. their lung capacity have a mean of 2.0 liters with a standard devision of 0.41 liters. calculate the appropirate test at the 1% level of significance. decide on a 1- tail or 2- tail test based on the goals of the research. the value of the calculated test statistic= the critical value= regarding the null hypothesisA Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a sweet taste. Consequently, miraculin has the potential to be an alternative low-calorie sweetener. In Plant Science (May 2010), a group of Japanese environmental scientists investigated the ability of a hybrid tomato plant to produce miraculin. For a particular generation of the tomato plant, the amount x of miraculin produced (measured in micrograms per gram of fresh weight) had a mean of 105.3 and a standard deviation of 8.0. Assume that x is normally distributed. (a) Find P(x >120).Water specimens are taken from water used for cooling as it is being discharged from a power plant into a river. It has been determined that as long as the mean temperature of the discharge is at most 150F, there will be no negative effects on the river's ecosystem. To investigage whether the plant is in compliance with regulations that prohibit a mean discharge water temperature above 150F, researchers will take 50 specimens at randomly selected times and record the temperature of each specimen. The resulting data will be used to test the hypotheses:H0:μ≤150FH0:μ≤150F Ha:μ>150FHa:μ>150F.(a) In the context of this problem, describe Type I and Type II errors.Type I Error:Select an answer A Type I error is not obtaining convincing evidence that the mean water temperature is greater than 150F when in fact it is greater than 150F. A Type I error is obtaining convincing evidence that the mean water temperature is greater than 150F when in fact it is at most 150F. Type II…
- The average scores in a pre-final examination scored by under graduate students in the previous year was 63. A tutor, after conducting the weekly tests, wishes to check whether that average has increased this year. For a sample of 70 students, the mean score was 68 with a standard deviation of 15.Find the rejection region for the standardized test statistic at the 10% significance level. Group of answer choices [1.282, ∞) (-∞,-1.645] U [1.645, ∞) (-∞,-1.282] U [1.282, ∞) (-∞,-1.282] [1.645, ∞)Last year a company received 50 complaints concerning carpet installation. The data in the accompanying table represents the number of days between the receipt of a complaint and the resolution of the complaint. The supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is 30 days. At the 0.01 level of significance, is there evidence that the claim is not true (that is, that the mean number of days is different from 30)? a. State the null and alternative hypotheses. b. Determine the test statistic. c. Find the p-value. d.State the conclusion.A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He believes that the mean systolic blood pressure, μ , of CEOs of major corporations is less than 130 mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test and measures the systolic blood pressures of a random sample of 100 CEOs of major corporations. Suppose that the population of systolic blood pressures among CEOs of major corporations has a standard deviation of 18 mm Hg and that the researcher performs his hypothesis test using the 0.05 level of significance. Based on this information, answer the questions below.
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