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 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).
- 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.)H6.
- a. What is the probability of seeing positive change? b. What is the probability of seeing positive change given that the tree is oak? c. Do the data suggest effect and tree type are independent events? yes or noAleem tossed a coin 50 times and recorded the results in a frequency distribution table. Outcome Frequency Heads 22 Tails 28 What is the experimental probability of tossing a head?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