Please need help.
Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 35 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. ints (a) If the true mean is .9480 with a standard deviation of 0.0060, within what interval will 95 percent of the sample means fall? (Round your answers to 4 decimal places.) The interval is from eBook o Hint (b) If the true mean is .9480 with a standard deviation of 0.0060, what is the sampling distribution of X Ask 1. Exactly normal with / = .9480 and a = 0.0060. Print 2. Approximately normal with // = .9480 and a = 0.0060. 3. Exactly normal with / = .9480 and Of = 0.0060 /V35. References 4. Approximately normal with / = .9480 and 0= = 0.0060 /V35. 01 02 0 3 0 4 (c) What theorem did you use to answer part (b)? O Central Limit Theorem O Chebyshev's Theorem O Pythagorean Theorem O Law of Large Numbers2 (a) Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to 2 decimal places.) 5 Standard points Error (a) o = 18, n = 9 (b) o = 18, n = 36 (c) o = 18, n = 144 eBook3 The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of / = 21.00 mpg and a standard deviation of o = 3.25 mpg. 5 (a) What is the standard error of points X the mean from a random sample of 16 fill-ups by one driver? (Round your answer to 4 decimal places.) Standard error of eBook X Ask (b) Within what interval would you expect the sample mean to fall, with 90 percent probability? (Round your answers to 4 decimal places.) Print The interval is from References to4 Use the sample information = 37, 0 = 5, n = 15 to calculate the following confidence intervals for / assuming the sample is from a normal population. 5 points (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from eBook Ask (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from Print to References (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence interval is from o (d) Describe how the intervals change as you increase the confidence level. O The interval gets narrower as the confidence level increases. O The interval gets wider as the confidence level decreases. O The interval gets wider as the confidence level increases. O The interval stays the same as the confidence level increases.5 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 o = .000965 mm. Assume a random sample of 58 sheets of metal resulted in an = .3193 mm. points Calculate the 98 percent confidence interval for the true mean metal thickness. (Round your answers to 4 decimal places.) The 98% confidence interval is from eBook to Ask
