Gauges are used to reject all components for which a certain dimension is not within specification 1.50±d. It is known that this measurement is normally distributed with mean 1.50 and standard deviation 0.2.
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- Suppose X is a non-standard normal variable, with a mean of 145, and std deviation of 10 (i.e. X~N(145,10)). You have an observation (z) on a standard normal scale (i.e. Z~N(0,1)). If z = 0.72, what is it on an X scale? Express your answer to two decimal places (ex: 123.45).The mean score on a driving exam for a group of driver's education students is 60 points, with a standard deviation of 3 points. Apply Chebychev's Theorem to the data using k=2. Interpret the results. At least ( )% of the exam scores fall between ( )and ( )The finished inside diameter of a piston ring is normally distributed with a mean of 10 centimeters and a standard deviation of 0.03 centimeter. If in a couple of years, the mean and the standard deviation of the nished inside diameter of a piston ring change both to dierent values μ and σ, what proportion of rings will have inside diameters exceeding μ + 2.5σ?
- Suppose X is a non-standard normal variable, with a mean of 122, and std deviation of 15 (i.e. X~N(122,15)). You have an observation (z) on a standard normal scale (i.e. Z~N(0,1)). If z = -1.39, what is it on an X scale? Express your answer to two decimal places (ex: 123.45).The average zinc concentration recovered from a sample of measurements taken in 40 different locations in a river is found to be 2.5 grams per milliliter. How large a sample is required if we want to be 95% confident that our estimate of ? is off by less than 0.05. Assume that the population standard deviation is 0.25 gram per milliliter.A researcher claims that the average wind speed in a certain city is 7 miles per hour. a sample of 30 days has an average wind speed of 7.2 miles per hour. The standard deviation of the population is 0.6 mile per hour.at a=0.05 Is there enough evidence to reject the claim?
- I need letter d. Thank you!Assume that the mean height of men in the United States is 70 inches, with a standard deviation of 3 inches. A particular man is 80 inches tall. Find the z-score of his height. (Round to two decimal places.)Health Canada wishes to estimate the mean amount of mercury , in parts per million (ppm), in commerical fish. Specifically, they want to estimate the value of μ to within 0.03, and be 95% confident in their results. 0.4 ppm. Assume that the amount of mercury in commerical fish varies from one fish to another, the standard deviation being σ = How many commerical fish should be randomly chosen, each chosen will have the mercury content measured, to satisfy Health Canadas estimation of u? (When values from a distribution, use three decimals.)
- GPAs at CCSU are normally distributed with a mean of 2.25 and a standard deviation of 0.45. Find the z-score for a GPA of 2.49.Suppose that the average life of a refrigerator before replacement is μ = 15 years with a (68%of data) range from 13 to 17 years. Let x = age at which a refrigerator is replaced. Assumethat x has a distribution that is approximately normal. Find a good approximation for thestandard deviation of x values.A random sample of 78 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 33. At a= 0.11, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). Ο D. Ho: μ 270 (b) Find the standardized test statistic z, and its corresponding area. z= 1.34 (Round to two decimal places as needed.) (c) Find the P-value. P-value = 0.0901 (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Reject Ho Fail to reject Ho