Question

In: Statistics and Probability

Length of metal strips produced by a machine process are normally distributed with a mean length...

Length of metal strips produced by a machine process are normally distributed with a mean length of 50mm and a standard deviation of 5mm.

Giving your answer as a decimal to 4 decimal places, find the probability that the length of a randomly selected strip is

a)

Shorter than 47mm

b)

Longer than 58mm

c)

Between 48mm48mm and 56mm

Solutions

Expert Solution


Related Solutions

The diameters of bolts produced in a machine shop are normally distributed with a mean of...
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.34 millimeters and a standard deviation of 0.03 millimeters. Find the two diameters that separate the top 8% and the bottom 8%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary
The diameters of bolts produced in a machine shop are normally distributed with a mean of...
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.58 millimeters and a standard deviation of 0.04 millimeters. Find the two diameters that separate the top 5%and the bottom 5%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary. Answer TablesKeypad If you would like to look up the value in a table, select the table you want to...
The diameters of bolts produced in a machine shop are normally distributed with a mean of...
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.67 millimeters and a standard deviation of 0.03 millimeters. Find the two diameters that separate the top 9% and the bottom 9%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
The diameters of bolts produced in a machine shop are normally distributed with a mean of...
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviation of 0.07 millimeters. Find the two diameters that separate the top 3% and the bottom 3%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
Question 1 The lengths of metal rods produced by an industrial process are normally distributed with...
Question 1 The lengths of metal rods produced by an industrial process are normally distributed with a standard deviation of 1.8 millimeters. Based on a random sample of nine observations from this population, the 99% confidence interval was found for the population mean length to extend from 194.65 to 197.75. Suppose that a production manager believes that the interval is too wide for practical use and, instead, requires a 99% confidence interval extending no further than 0.50 mm on each...
The weight of an item produced on a machine is normally distributed with mean 220 g...
The weight of an item produced on a machine is normally distributed with mean 220 g and standard deviation 5 g. Among 3500 items that are independently produced, how many of them are expected to weigh between 215 g and 225 g?
1)The diameters of bolts produced by a certain machine are normally distributed with a mean of...
1)The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability of selecting a bolt at random that has a diameter larger than 0.328 inches? 2) The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a randomly selected...
In a metal fabrication process, metal rods are produced to a specified target length of 15...
In a metal fabrication process, metal rods are produced to a specified target length of 15 feet. Suppose that the lengths are normally distributed. A quality control specialist collects a random sample of 16 rods and finds the sample mean length to be 14.8 feet and a standard deviation of 0.65 feet. Based on this information answer the following questions to determine if the manufacturer is making rods too short. a. Write the null and alternative hypotheses to test this...
In a metal fabrication​ process, metal rods are produced to a specified target length of 15...
In a metal fabrication​ process, metal rods are produced to a specified target length of 15 feet​ (ft). Suppose that the lengths are normally distributed. A quality control specialist collects a random sample of 16 rods and finds the sample mean length to be 14.8 feet and a standard deviation of 0.65 feet. The​ 95% confidence interval for the true mean length of rods produced by this process is​ _______. A. 14.454 to 15.146 ft B. 14.345 to 15.255 ft...
In a metal fabrication process, metal rods are produced to a specified target length of 15...
In a metal fabrication process, metal rods are produced to a specified target length of 15 feet. Suppose that the lengths are normally distributed. A quality control specialist collects a random sample of 16 rods and finds the sample mean length to be 14.8 feet and a standard deviation of 0.65 feet. Based on this information answer the following questions to determine if the manufacturer is making rods too short.In a metal fabrication process, metal rods are produced to a...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT