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- Find the positive geometric mean between 4 and 64.The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process ( due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following.A medical researcher says that less than 79% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 75% think that healthy children should be required to be vaccinated. At α=0.10, is there enough evidence to support the researcher's claim? Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) Fill the answer to the correct answer A. The rejection region is <z< B. The rejection region is z< . C. The rejection region is z> . D. The rejection regions are z< and z> . (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. Choose a or b ▼ (A)Reject…
- 6.) A survey found that 21% of Americans watch the fireworks on the 4th of July from their TV. If 80 Americans are surveyed, would it be unusual to have less than 10 watch the fireworks from their TV? Explain.30. 35% of women with long hair have split ends. A hair stylist believes this proportion is smaller for her clients using her salon. A sample of 178 women with long hair using her salon, showed 33.96% have split ends. Is there enough evidence to support her claim at α = .03A state legislator wishes to survey residents of her district to see what proportion of the electorate is aware of her position on using state funds to pay for abortions. (Round your answers up to the nearest integer.) (a) What sample size is necessary if the 95% CI for p is to have a width of at most 0.12 irrespective of p? 263 people If the legislator has strong reason to believe that at least 6/7 of the electorate know of her position, how large a sample size would you recommend to maintain a width of at most 0.12?
- An environmentalist wants to find out the fraction of oil tankers that have spills each month. Part a). Suppose a sample of 198 tankers is drawn. Of these ships, 155 did not have spills. Using the data, estimate the proportion of oil tankers that had spills. Enter your answer as a fraction or a decimal number rounded to three decimal places. Part b). Suppose a sample of 198 tankers is drawn. Of these ships, 155 did not have spills. Using the data, construct the 80% confidence interval for the population proportion of oil tankers that have spills each month. Round your answers to three decimal places.10 samples of different cakes are on display as customers leave a store, they are told that they can choose any 4 samples. How many different selections can a customer make?Last year 46% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicated that 35% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. How many business owners in the survey plan to provide a holiday gift to their employees this year?
- A state executive claims that the average number of acres in western Pennsylvania state parks is less than 2000 acres. A random sample of five parks is selected, and the number of acres is shown. At α = 0.01, is there enough evidence to support the claim? 959, 1187, 493, 6249, 541Attached is a Summary Table. Please complete this summary table by filling in the blanks. Make sure to round two decimal places or Canvas will automatically mark your answer wrong! Correct rounding is essential! how many participants total were in the study based on the summary table how many levels were there to the indepA researcher wants to know whether children with ADHD tend to watch more TV than children who are not diagnosed with the disorder. To examine this, a researcher obtains a sample of n = 36 children (ages 8 to 12 years) who have been diagnosed with ADHD. Each child is asked to keep a journal recording how much time each day is spent watching TV. The average for the sample is M = 4.9 hours/day. Assume that the average TV-watching time for the general population of 8-to-12-year-old children is µ = 4.1 hours/day with σ = 1.8. Is ADHD in children associated with an increased amount of TV-watching?