In an industrial process, the diameter of a ball bearing is an important measurement. The buyer sets specifications for the diameter to be 3.0 ± 0.01 cm. The implication is that no part falling outside these specifications will be accepted. It is known that in the process the diameter of a ball bearing has a normal distribution with mean u = 3.0 and standard deviation o = 0.005. On average, how many manufactured ball bearings will be scrapped? Draw a distribution function curve and show the details on the diagram. Indicate all the details in writing.

In an industrial process, the diameter of a ball bearing is an important measurement. The buyer sets specifications for the diameter to be 3.0 ± 0.01 cm. The implication is that no part falling outside these specifications will be accepted. It is known that in the process the diameter of a ball bearing has a normal distribution with mean u = 3.0 and standard deviation o = 0.005. On average, how many manufactured ball bearings will be scrapped? Draw a distribution function curve and show the details on the diagram. Indicate all the details in writing.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A variable is normally distributed with mean 17 and standard deviation 8. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed. a) Find the area to the left of 16. b) Find the area to the left of 13. c) Find the area to the right of 15. d) Find the area to the right of 19. e) Find the area between 13 and 28.
b.
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 180 lb and a standard deviation of 36 lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the gondola is rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is 140 lb. (Type an integer or a decimal. Do not round.) b. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is: (Round to four decimal places as needed.)
$50 shirt has a sales tax of 18%. What is the price of the shirt after tax? word eount
Suppose the birth weights of full-term babies are normally distributed with mean 3250 grams and standard deviation o= 500 grams. Complete parts (a) through (c) below. (a) Draw a normal curve with the parameters labeled. Choose the correct graph below. OA. B. A A 2750 3750 2250 3250 3250 4250 G Q Q OC. 2250 3250 4250 X Q 01 O D. A 3250 2750 3750
Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a lower class limit of 1.470 in., and use a class width of 0.010 in. The screws were labeled as having a length of 1 1/2 in.
The lengths of 40 leaves of a plant are measured correct to the nearest millimeter. Less than Cumulative frequency of the data obtained is represented in the following table. Which central tendency will be most appropriate for the data set? Length (mm) Less than cum freq Less than 127 3 127-135 136-144 17 145-153 29 154-162 34 163-171 38 172-180 40 O a. mode O b. mean O. midrange O d. median
A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 186 lb and a standard deviation of 44lb. The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3500lb. Complete parts (a) through (d) below. A. Given that the gondola is rated for a load limit of 3500lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 passengers? The maximum mean weight is______ B. If the gondola is filled with 25 randomly selected skiers, what is the probability that their mean weight exceeds the value from part (a)? The probability is____ C. If the weight assumptions were revised so that the new capacity became 20 passengers and the gondola is filled with 20 randomly selected skiers, what is the probability that their mean weight exceeds 186 lb, which is the maximum mean weight that does not cause the total load to exceed 3500lb? The…
1. The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with a mean of 266 days and a standard deviation of 16 days. a. Draw the density curve for the normal distribution of pregnancy lengths. Mark and label the location the mean and three standard deviations above and below the mean. b. Answer the following questions using the density curve you drew for part a. It may help to shade relevant parts of the curve. i. What percent of the pregnancies last between 250 and 282 days? ii. What are the upper and lower bounds for the middle 95% of all pregnancy lengths? iii. What percent of the pregnancies last between 218 and 314 days? iv. What percent of the pregnancies last 266 days or fewer? v. What percent of the pregnancies last between 266 and 282 days? vi. What percent of the pregnancies last fewer than 250 days? vii. What percent of the pregnancies last between 234 and 314 days? viii. How long are the longest 2.5% of…
6. GEM Company: the diameter of a cylinder is an important measurement in an industrial operation. The buyer sets the specifications for the diameter to be 4.0 ±0.02 cm. The implication is that no part falling outside these specifications will be accepted. It is known that in the process the diameter of a cylinder has a normal distribution with mean u = 4.0 and standard deviation o =0.013. On average, how many manufactured cylinders will be scrapped?
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.The artifact frequency for an excavation of a kiva in Bandelier National Monument gave the following information. Stratum Flaked Stone Tools Nonflaked Stone Tools 1 10 2 2 10 3 3 9 2 4 1 3 5 4 7 6 38 32 7 51 30 8 25 12 What is the value of the sample test statistic? (Round your answer to three decimal places.)