Question HelpSuppose a simple random sample of size n=81 is obtained from a population with p=81 and o= 27.St(a) Describe the sampling distribution of x.We(b) What is P (x> 84.15)?(c) What is P (xs75)?St(d) What is P (79.584.15) = (Round to four decimal places as needed.)DisRound to four decimal places as needed.)(c) P (xs 75) =Co(Round to four decimal places as needed.)=(d) P (79.5

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Question Help ▼ A car company says that the mean gas mileage for its luxury sedan is at least 21 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 7 cars has a mean gas mileage of 20 mpg and a standard deviation of 3 mpg. At a= 0.025, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table Click here to view page 1 of the normal table Click here to view page 2 of the normal table Which sampling distribution should be used and why? O A. Use a t-sampling distribution because the population is normal, and o is unknown. O B. Use a t-sampling distribution because the population is normal, and o is known. C. Use a normal sampling distribution because the population is normal, and o is unknown. O D. Use a normal sampling distribution because n> 30 E. Use a t-sampling distribution because n 21 H, u#21 What is the value of the standardized test statistic? The standardized test statistic is…
CI on Mean, Variance Unknown, Prediction and Tolerance Interval A CNC (computer numerical control) machine produces iron automobile crankshafts. Samples are measured and the inner diameter are found to be 1.01,0.97, 1.03, 1.04,0.99, 0.98,0.99, 1.01, and 1.03 centimeters. For all computations, assume an approximately normal distribution. The sample mean and standard deviation for the given data are 1.0056, and s = 0.0246. Find a 99% confidence interval on the mean of diameter. Compute a 99% prediction interval on a measured diameter of a single crankshaft piece taken from the machine. Find the 99% tolerance limits that will contain most of the metal pieces produced by the CNC machine. a. Insufficient data to compute. Missing the sample size n b.CI on the mean: 0.9781 < µ < 1.0331. Prediction Interval: 0.9186 < Xn+1s 1.0926. Tolerance Interval (0.8937 and 1.1175) C. CI on the mean: 0.970 < µ < 1.9845. Prediction Interval: 0.9186 < Xn+1s 1.0926. Tolerance Interval (0.8937 and 1.1175) d.…
A company that manufactures batteries used in electric cars is reporting that their newest model of battery has a mean lifetime, µ, of 18 years. To test the company's claim, a competitor has selected 56 of these batteries at random. The mean lifetime of the sample is 18.9 years. Suppose the population standard deviation of these lifetimes is known to be 4.8 years. Is there enough evidence to reject the claim that the mean lifetime of the newest model is 18 years? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis H, and the alternative hypothesis H,. Ho: 0 O
The time that a randomly selected individual waits for an elevator in an office building has a uniform distribution over the interval from 0 to 1 minute. For this distribution ? = 0.5 and ? = 0.289. (a) Let x be the sample mean waiting time for a random sample of 17 individuals. What are the mean and standard deviation of the sampling distribution of x? (Round your answers to three decimal places.) ?x = ?x = (b) Answer part (a) for a random sample of 45 individuals. (Round your answers to three decimal places.) ?x = ?x = (c) Draw a picture of the approximate sampling distribution of x when n = 45. A graph has a horizontal axis with values from approximately −3.5 to 3.5. A symmetric curve with a single peak in the center of the graph is drawn over the horizontal axis. The curve enters the left of the graph at a height of nearly zero, rises to a peak over the value 0 on the horizontal axis, then decreases and exits the graph on the…
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Which of the following statements are TRUE about the normal distribution? Check all that apply. __ The area to the left of a z-score plus the area to the right of that same z-score will always equal 1. __ A data value with z-score = -1.5 standard devaitions below the mean. __ The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean. __ A z-score is the number of standard deviations a specific data values is from the mena of the distribution. __ The mean corresponds to the z-score of 1.
Central limit theorem: Sample mean Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average (mean) of 32 grams of fat per pound, with a standard deviation of 8 grams of fat per pound. A random sample of 34 farm-raised trout is selected. The mean fat content for the sample is 31.5 grams per pound. Find the probability of observing a sample mean of 31.5 grams of fat per pound or less in a random sample of 34 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. 0 ▬▬▬▬▬ 0/5 X 5 Español ? FRD
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Photon is a training device that is designed to improve a user's reaction time. Similar devices have been criticized for being too easy to master, but the makers of Photon say that their device is built to give most users room to improve. The makers say that even among professional athletes, the proportion, p, who can score the top ranking of "light speed" is less than 18%. A random sample of 115 professional athletes is chosen, and 15 score a ranking of "light speed" while using the device. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that the proportion of all professional athletes who can score a ranking of "light speed" is less than 18%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Oロ H: ロ=ロローロ (b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One…

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