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- A sports enthusiast would like to determine if the average number of penalty minutes per game for teams in the National Hockey League is greater than 12 minutes. A sample of 30 games was taken, and the number of penalty minutes in each game was recorded. Select the appropriate hypotheses to be tested. Ho:μ=12Ho:μ=12Ha:μ>12Ha:μ>12 Ho:μ=12Ho:μ=12Ha:μ≠12Ha:μ≠12 Ho:¯y=12Ho:y¯=12Ha:¯y≠12Ha:y¯≠12 Ho:¯y=12Ho:y¯=12Ha:¯y>12Please use the five steps in hypothesis testing. (a) Meteorology: Storms Weatherwise is a magazine published by the American Meteorological Society. One issuegives a rating system used to classify Northeaster storms that frequently hit New England and can cause muchdamage near the ocean. A severe storm has an average peak wave height of μ=16.4 ft for waves hitting the shore. Suppose that a Northeaster is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 36 waves showed on average wave height of x̄=17.3 ft. Previous studies of severe storms indicate that σ=3.5 ft. . Does this information suggest that the storm is perhaps temporarily increasing above the severe rating? Use a=0.01Identify the conclusion for this hypothesis test. O A. Fail to reject Hn. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. B. Fail to reject Ho- There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. C. Reject Hg. There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. O D. Reject Ho. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea.
- 1. Identify the parameter and set up null and alternative hypotheses. A drug company says their brand of over the counter pain medicine contains on average 1.25 grams of acetaminophen in each tablet. A consumer wants to find evidence against the drug company's claim. 1. Identify the parameter: 2. Null hypothesis: 3. Alternative Hypothesis: а. b. Social scientists suspects the median age of women at the birth of the first child is more than 25 years. 1. Identify the parameter: 2. Null hypothesis 3. Alernative Hypothesis: c. A consumer advocacy group wants to prove there is no difference between regular unleaded and premium unleaded average gas mileage. 1. Identify the parameter: 2.Null hypothesis: 3.Alternative Hypothesis:A headache remedy is said to be 80% effective in curing headaches caused by simple nervous tension. An investigator tests this remedy on 100 randomly selected patients. Find the probability that: A. The first person to NOT be cured is the 5th person B. What is the expected number of patients who would be cured by the remedy?the national average SAT score is roughly 1500. We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from. H0: μ = 1500; HA: μ ≠ 1500 H0: p = 1500; HA: p > 1500 H0: x = 1500; HA: x > 1500 H0: μ Duke= μ National; HA: μ Duke> μ National H0: μ = 1500; HA: μ > 1500
- 1. The incidence of cancer among phosphate mine workers and their exposure to radiation was investigated. Cancer incidence was recorded among 60 phosphate mine workers who had 0-29 working level months (WLM) of exposure, 60 phosphate mine workers who had 30-89 WLM of exposure, and 60 phosphate mine workers who had 90-120 WLM of exposure. The number of cancer incidences for each group are presented in Table 1. Table 1: Two-way Table of Counts Cancer Incidence Exposure Level Yes No Total 0-29 WLM 20 40 60 30-89 WLM 33 27 60 90-120 WLM 43 17 60 Total 96 84 180 Perform a x? test, at the 5% level of significance, whether cancer incidence rates differ between the three levels of radiation among phosphate mine workers.You want to test the following hypotheses. There are three categories: x, y and z. H0: px = .20, py = .40, and pz = .40 HA: The population proportions are not px = .20, py = .40, and pz = .40 A sample size of 200 resulted in 20 observations in category x, 120 in category y and 60 in category z. Use α = .01 and test to see whether the proportions are as stated in H0. Use the p-value approach. How many degrees of freedom are there?None
- 2. Given the following null and alternative hypotheses: Ho : Ti π together with the sample information: Sample 1 Sample 2 ni = 200 n2= 250 X1 = 55 X2 = 65 Test the hypotheses at 0. 05 level of significance.59% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 155 of the 276 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a = 0.01?Please answer ASAP. Consider the following hypothesis test: H0: μ = 120 Ha: μ ≠ 120 A sample of 50 is used. Identify the p-value and state your conclusion for each of the following sample results. Use a=0.01. Round the value of the test statistic to three decimal places. If required enter negative values as negative numbers.