1. 2 of the samples are out of tolerar 2. More than 10 of the samples can 3. Less than 2 of the samples are out
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- 15. The U.S. Energy Information Administration claimed that in 2017, U.S. residential customers used an average of 10,399 kilowatt hours (kWh) of electricity. A local power company believes that residents in their area use more electricity on average than EIA’s reported average. To test their claim, the company chooses a random sample of 100 of their customers and calculates that these customers used an average of 10,608 kWh of electricity in the prior year. Assuming that the population standard deviation is 1361 kWh, is there sufficient evidence to support the power company’s claim at the 0.05 level of significance? (a) Symbolically, state the null and alternative hypothesis and state which is the claim. (b) Calculate the standardized test statistic. You must show a filled out standardized test statistic formula. (c) Find either the critical values and identify the rejection regions or find the p-value. Also, decide whether to reject or fail to reject the null hypothesis and be sure…5b. What size samples do you need for a 2-group design if you expect to have an effect size of .45 and you want your power to be .80? p<.05. 5c. A researcher has access to 100 participants for an independent sample design study, and she is hoping to achieve power = .71. What effect size will her data need to achieve to make that possible? p<.05.10. Claim: P₁ = P₂; α = 0.05. Sample statistics: x1 = 265, n₁ - X2 204, 2 - 301, 247 'D
- 11. Suppose average weight in Louisiana is 185 pounds. Suppose that John randomly selects 100 Louisianans, asks their weight, and averages the 100 numbers. Suppose that Julia does the same thing, only she asks 1,000 Louisianans instead of 100. Explain precisely, in a paragraph or so, what the Law of Large Numbers would tell you to expect about the average weights that Julia and John will calculate from their respective samples.46. For each scenario listed on the left, determine whether the scenario represents an (a)Independent or (b)Dependent Samples situation by placing the appropriate letter in the box provided. Comparing pain levels before and after treatment with magnetic therapy Comparing the number of speeding tickets received by men to the number received by women Comparing pre-test scores before training to post-test scores Comparing pain levels of a group receiving a placebo to a group receiving a medicine Independent Samples Dependent Samples17. A company is interested in evaluating its current inspection procedure on shipments of 50 identical items. The procedure is to take a sample of 5 and pass the shipment if no more than 2 are found to be defective. What proportion of 20% defective shipments will be accepted?
- е. Sample region 6. Question: In a hypothesis test, what does the values of T(0) signify? a. Smallest level of significance for rejection of Null Hypothesis. b. Largest level of significance for rejection of Null Hypothesis. c. Smallest level of significance for acceptance of Null Hypothesis d. Largest level of significance for acceptance of Null Hypothesis 34.2.16 What is the difference between random sampling and random assignment and what types of conclusions can be drawn from each?3. A researcher samples 5 colony of Species of K and 5 colonies of Species L, measures their sizes as: Species K Species L 4.7 5.3 5.2 4.6 6.1 4.1 5.8 4.8 5.2 4.2 а. Test if mean colony size of Species K and Species L are different from each other? Report a p-value. (You mav need to do an additional test to decide which test to apply for comparing the means) b. What is the power of the test in part a? С. The researcher would like to design a new experiment which will allow a two tailed hypothesis test with significance 0.05 and power 0.90. What should be the sample sizes nk and ni for Species K and Species L (use k = 1). %3D
- Express the alternative hypothesis in symbolic form. A psychologist claims that the mean amount of time (in hours) that females spend in talk therapy is more than that of men. Assume that two samples are independent. Let the female talk therapy times be the first population and the male talk therapy times be the second population.Q) Fit the curve of the form y = ab* to the following data, then find the standard deviation. 3 4 5 7 1.8 2.5 3.6 4.7 6.66. As a researcher for an environmental agency, you have been asked to determine if the air quality in the Philippines has changed over the past 2 years. You select a random sample of 7 metropolitan cities and find the number of days each year that these cities failed to meet acceptable air quality standards. The results were given below. Can we conclude that after a year, there is no improvement in the air = 0.15. quality in the Philippines? Use a = City Year 1 Year 2 1 18 24 2 50 77 3 9 13 4 22 21 5 30 44 6 29 23 7 1 6