(2) Maximum likelihood estimators are unbiased.
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- A marketing representative wants to estimate the proportion of people in a state who like the new design on the packaging of a certain cleaning product. The representative interviewed 100 people at a certain supermarket, and 82 people indicated that they liked the new design. Have the conditions for creating a confidence interval for the population proportion been met? Yes, because the sample was selected at random. A Yes, because sampling distributions of population proportions are modeled with a normal model. B Yes, because the sample is large enough to satisfy the normality conditions. C No, because the sample is not large enough to satisfy the normality conditions. D No, because the sample may not be representative of all people in the state.G The Ball Corporation's beverage X 17-2 Homework Chapter 8 (Sectic X ezto.mheducation.com/ext/map/index.html?_con=con&external_browser=0&launchUrl=https%253A%252F%252Fnewconnect.mheducation.com... A k: Chapter 8 (Sections 8.1 and 8.5) The 98% confidence interval is from a to The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal with a known thickness standard deviation 0.000965 mm. Assume a random sample of 58 sheets of metal resulted in an = .3193 mm. Calculate the 98 percent confidence interval for the true mean metal thickness. (Round your answers to 4 decimal places.) Help 4 Save & Exit Check mP (G) = .3 P (Y) = .4 P (B) = .2 P(R) = .1 OBS. G Y R B FREQ. 12 14 12 2 find the test-statistics to determine this data will "FIT" the expectation
- In a survey of 2055 adults in a certain country conducted during a period of economic uncertainty, 59% thought that wages paid to workers in industry were too low. The margin through (d) below, which represent a reasonable interpretation of the survey results? For those that are not reasonable, explain the flaw. error was 3 percentage points with 95% confidence. For parts (a) O B. The interpretation is flawed. The interpretation indicates that the level of confidence is varying. O C. The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, which is not true. O D. The interpretation is flawed. The interpretation provides no interval about the population proportion. (b) We are 92% to 98% confident 59% of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low. Is the interpretation reasonable? O A. The interpretation is reasonable. O B. The interpretation is…This is what it means to be "95% confident" when we create a 95% confidence interval for thepopulation mean: If we take repeated random samples of the same size ? from our population andcalculate all of the sample means and all of the corresponding 95% confidence intervals, we expect__________ of those intervals will contain the true population mean (µ).In a recent poll, 300 people were randomly sampled, and 90% said they liked dogs. Use the Theory-Based Inference applet to find a 95% confidence interval for the true population proportion of people who like dogs, T. (a) We are 95% confident that the proportion of all people who like dogs is between 9 % and % Give your percentage answers rounded to one decimal place. For example, if the applet gives (0.34218, 0.61352) then you would enter 34.2 and 61.4. (b) The sample statistic is 0.9 Give your answer as a dEnter an integer or decimal number [more.Jo not round. (c) The margin of error is 0.024 Give your answer as a decimal using your answers form parts (a) and (b). (d) The confidence interval from part (c) can be written as ± Give your answers as decimals (NOT percentages), and do not round.
- You may need to use the appropriate appendix table or technology to answer this question. Recall the method used to obtain a confidence interval for the difference between two population means for matched samples. (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 - Population 2.) Population Element 1 Difference 1 11 8 7 8 3 9 6 4 12 13 10 6 15 15 15 14 (b) Compute d. (c) Compute the standard deviation s. (Round your answer to two decimal places.) (d) What is the point estimate of the difference between the two population means? (Use Population 1 - Population 2.) (e) Provide a 95% confidence interval for the difference between the two population means. (Use Population 1 - Population 2. Round your answers to two decimal places.) toTrue or falseA research scholar wants to know how many times per hour a certain strand of virus reproduces. He wants to construct the 98% confidence interval with a maximum error of 0.17 reproductions per hour. Assuming that the mean is 10.3 reproductions and the variance is known to be 5.76 or standard deviation 2.4, what is the minimum sample size required for the estimate? Round your answer up to the next integer. (a) Which of the following formulae is the valid formula to find answer to this question? 1. (zCriticalValue×σ)2 errorzCriticalV alue2 × p?× (1 − p?) 2.3. p?±ztable ×?p?(1−p?) error2 n x ± ztable × √σ n x ± ttable × √s n (b) What is the critical number that you need from Z Table or T Table whichever is appropriate to solve this problem? (c) What is the final answer to this problem?
