Concerns about climate change and CO; reduction have initiated the commercial proeduction of blends of biediesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 48 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) If the true mean is .9050 with a standard deviation of 0.0100, within what interval will 90 percent of the sample means fall? (Round your answers to 4 decimal places.) Themenaiston T Jof (b) If the true mean is .9050 with a standard deviation of 0.0100, what is the sampling distribution of X? 1. Exactly normal with g =.9050 and o = 0.0100. 2. Approximately normal with = .9050 and = 0.0100. 3. Exactly normal with g =.9050 and o7 = 0.0100 /+/48. 4. Approximately normal with = 9050 and o7 = 0.0100 /+/48. O o2 O3 (a) Find the standard error of the mean for each sampling situation (assuming a normal population). (Round your answers to 2 decimal places.) Standard Error (b) What happens to the standard error each time you quadruple the sample size? The standard error is | | by half. 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 / = 25.00 mpg and a standard deviation of o = 1.75 mpg. (a) What is the standard error of X , the mean from a random sample of 16 fill-ups by one driver? (Round your answer to 4 decimal places.) Standard error of X (b) Within what interval would you expect the sample mean to fall, with 90 percent probability? (Round your answers to 4 decimal places.) The interval is from toUse the sample information x = 36, 0=7, n=16 to calculate the following confidence intervals for / assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from to (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence interval is from toThe 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= .000672 mm. Assume a random sample of 56 sheets of metal resulted in an x = .2737 mm. 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 toA random sample of 15 items is drawn from a population whose standard deviation is unknown. The sample mean is x = 760 and the sample standard deviation is s = 20. Use Appendix D to find the values of Student's t. (a) Construct an interval estimate of / with 99% confidence. (Round your answers to 3 decimal places.) The 99% confidence interval is from to (b) Construct an interval estimate of / with 99% confidence, assuming that s = 40. (Round your answers to 3 decimal places.) The 99% confidence interval is from to (c) Construct an interval estimate of / with 99% confidence, assuming that s = 80. (Round your answers to 3 decimal places.) The 99% confidence interval is from toA random sample of 16 pharmacy customers showed the waiting times below (in minutes). 20 27 24 23 19 21 18 17 22 15 18 32 16 20 19 19 Click here for the Excel Data File Find a 90 percent confidence interval for /, assuming that the sample is from a normal population. (Round your standard deviation answer to 4 decimal places and t-value to 3 decimal places. Round your answers to 3 decimal places.) The 90% confidence interval toCalculate the standard error. May normality be assumed? (Round your answers to 4 decimal places.) Standard Error Normality (a) n = 26, IT = 0.37 (b) n = 49, IT = 0.46 (c) In = 107, I = 0.21 (d) In = 538, IT = 0.006\fOf 43 bank customers depositing a check, 23 received some cash back. (a) Construct a 90 percent confidence interval for the proportion of all depositors who ask for cash back. (Round your answers to 4 decimal places.) The 90% confidence interval is from to (b) May normality of p be assumed? O Yes O No