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A: The given sample size is 4400 and population proportion of defect rate is 0.01.
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- The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(P ≥ 0.0125), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.Let XXN(u. 16). How much should the sample size he for testing HeiH = 24 rs. He = 25 ata = 0.025 and ß = 0.409 (a) 77 (b) 48 (c) 35 (d) 28 (e) NoneLet's talk that scenario and work with some fictional data from it: Let's imagine there was a question on the survey that asks "On average, how many times a day do you worry about COVID-19, either for yourself, family, or community? Below is some data for 10 respondents. In the text box below (NOT on your scratch work),describe all of the steps you would use to calculate the appropriate type of t-test (independent or paired samples), given we want to compare Trump voters to Clinton voters. ***For this question, just list the steps - do not do any calculations. Since you are only able to see one question at a time, it's recommended that you also jot these steps down somewhere you can use them for the next question That will be in the next question. Your list will have at least 6 steps. Your last steps will involve the hypothesis test. Number of times worry per day Voted for in 2016 1= Clinton 2 = Trump 4 1 2 1 14 1 3 1 0 1 3 2 5…
- To determine the average length of hospital stay for patients who were hospitalized with and recovered from Covid-19, a physician randomly surveyed 100 of his patients and determined their average length of hospital stay. Identify the population, parameter, sample, and statistic for the above scenario. Write "NONE" for any information that is missing.Peter is trying to figure out the sample size for the data set he wants to collect. He is considering having the bound on the error of estimation to be either 3.5 or 4.5. Explain to Peter the impact these different errors will have on his sample size.Studies on the seabed's habitat (natural environment) are carried out by dredging the sea bottom. Area to estimate the number of clams in a given area; It was studied in four parts (layers) as north, south, east and west. The size of each layer is 901680, 200765, 203355 and 800509 m2, respectively. The size of the areas selected as samples from the layers, the average weight of the scallops in the selected area and the variance of the weight are given in the table below. Estimate the total number of clams in the area. Calculate the estimation error limit.
- A research company is doing research on the number of Americans who have had COVID-19. They need to obtain a sample to estimate the population proportion of people who have had COVID-19. Based on a previous study at Stanford University, they believe the population proportion is approximately 13%. You would like to be 95% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining whether or not there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data (in miles per gallon) show the results of the test. Assume the population of differences is normally distributed. Driver Manufacturer A Manufacturer B 1 36 30 2 31 31 3 30 28 4 30 27 5 29 27 6 33 30 7 35 25 8 29 31 The test statistic is 2.316. At ? = 0.10, the null hypothesis should be revised .should not be tested. should be rejected. should not be rejected.LET'S DO IT! II. I. Review the concepts related to Slovin's Formula. Determine the sample size using Slovin's Formula. Show your complete SOLUTION and FINAL ANSWER. III. operations CATARIMASSESV TI maence of inerver 2. Population = 9669, • Confidence of Interval = 95% of Interval= 98% Confidence 3. Population = 2598, Confidence of Interval= 95% • Confidence of Interval = 98%