4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting pointdiffers from this by more than 20 degrees, the composition of the alloy will have to beUchanged. Assume the melting point is normally distributed with standard deviation 35degrees. A sample of 25 alloys were obtained and the average melting point were 1224degrees. By using a = 0.01, determine whether the composition of the alloy will have to bechanged?5. A bolt manufacturer makes a type of bolt to be used in airtight containers. The manufacturer claimsthat the variance of the bolt widths is at most 0.01. A random sample of 28 bolts has a variance of0.064. At a = 0.005, is there enough evidence to reject the claim?6. The effects of two catalysts on the mean yield of a chemical process are being investigated.A test is conducted in the pilot plant, yielding the data reported in Table 1. Is there anydifference between the mean yields from the two catalyst at the 5% significance level?Assume the two population variances are equal.Table 1ObservationCatalyst 1Catalyst 2191.5089.19294.1890.95392.1890.46495.3993.21591.7997.19689.0797.0494.7291.0789.2192.7578

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For SRSWOR (N,n), find the ratio estimator of population mean. Show that the estimator is biased.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
4. The specification of the melting point of an alloy is 1200 degrees Celsius. If the melting point differs from this by more than 20 degrees, the composition of the alloy will have to be changed. Assume the melting point is normally distributed with standard deviation 35 degrees. A sample of 25 alloys were obtained and the average melting point were 1224 degrees. By using a = 0.01, determine whether the composition of the alloy will have to be changed? JTM
The average height of 1,000 children is 150cm with a standard deviation of 10cm. How many children stand between 155cm and 150cm ? A. Find the raw score for z= -1,-2,-3,+1,+2,+3 B. Sketch the graph C. What z score corresponds to 50? D. What z score corresponds to 60? E. Find the total area . F. Multiply the total area by 1000. G. Make a conclusion.
1) The speed of 100 cars was measured on a road with a speed limit of 90 km/h. The data was found to be approximately normal with a mean of 88 km/ h and standard deviation of 1.0km/h. a) How many cars were driving at a speed between 87km/h and 89km/h? b) How many vehicles were fined between 90km/h and 91km/h for exceeding the speed limit?
Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard deviation of 1.00°C. Assume 2.1% of the thermometers are rejected because they have readings that are too high and another 2.1% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others.
Assume that blood pressure readings are normally distributed with μ= 124 and σ= 9. A researcher wishes to select people for a study but wants to exclude the top and bottom 9 percent. What would be the upper and lower readings to qualify people to participatein the study?
Assume that we have made 10 repeated measurements of a quantity, and as a result the error assigned to the “best estimate” of the mean is 6. If we then expand our data set to a total of 20 measurements, the error in the mean will reduce to just 3. True or False

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