5. Two types of plastic are suitable for use by an electronic calculator manufacturer. The breakingstrength of this plastic is important. It is known that 0₁ = 02 = 1.0 psi. From random samplesof n₁ = 10 and n₂ = 12 we obtain y₁ = 162.5 and y2 = 155.0. The company will not adopt plastic1 unless its breaking strengths exceeds that of plastic 2 by at least 10 psi. Based on the sampleinformation, should they use plastic 1? In answering this question, set up and test appropriatehypotheses using a = 0.01. Construct a 99 percent confidence interval on the true mean differencein breaking strength.

Solution: Given information: n1= 10n2= 12y1= 162.5y2= 155.0σ1=σ2=1.0α=0.01

Answered: = 5. Two types of plastic are suitable…

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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1.8 A Canadian manufacturer identified a critical diameter on a crank bore that needed to be maintained within a close tolerance for the product to be successful. Sam- ples of size 4 were taken every hour. The values of the differences (measurement - specification), in ten- thousandths of an inch, are given in Table 1.4. (a) Calculate the central line for an X-bar chart for the 24 hourly sample means. The centerline is x = — . . . (4.25 -3.00 -1.50 +3.25)/24. = (b) Is the average of all the numbers in the table, 4 for each hour, the same as the average of the 24 hourly averages? Should it be? (c) A computer calculation gives the control limits LCL = -4.48 UCL 7.88 = Construct the X-bar chart. Identify hours where the process was out of control.
If needed do not use a P value to answer any problem. No credit will be given if a P value is used. Use only criticalvalues.
a rescarch study reports tCH)=2.n. How many in the study? CHOW big was the sample? Is this E'statistic sufticrent to reject the nvil hypathos using a twotaiked test with a .oS? individuals participated
An experiment is conducted to compare the maximum load capacity in tons (the maximum weight that can be tolerated without breaking) for two alloys A and B It is Kknown that the two standard deviations in load capacity are equal at 7 tons each. The experiment is conducted on 50 specimens of each alloy (A and B) and the results are X = 75.8. X = 71.8, and X-X=4. The manufacturers of alloy A are convinced that this evidence shows conclusively that Hug and strongly supports the claim that their alloy is superior. Manufacturers of alloy 8 claim that the experiment could easily have given X-X 4 even if the two population means are equal. Complete parts (a) and (b) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Make an argument that manufacturers of alloy B are wrong. Do it by computing P(XA-XB41 PA-HB) P(XA-X > 4) - @
Suppose that 500 parts are tested in manufacturing and 10 are rejected. Test the hypothesis ₁: = 0.03 against H₁: p < 0.03 at a: = 0.005. Find the P-value. The P-value is MEN CS Scanned with CamScanner Round your answer to three decimal places (e.g. 98.765).
17. please state all 6 steps of the p method clearly please! Strength of concrete: The compressive strength, in kilopascals, was measured for concrete blocks from five different batches of concrete, both three and six days after pouring. The data are as follows. Can you conclude that the mean strength after three days differs from the mean strength after six days? Let μ1 represent the mean strength after three days and =μd−μ1μ2 . Use the =α0.05 level and the P -value method with the TI-84 Plus calculator. Block 1 2 3 4 5 After 3 days 1371 1379 1344 1383 1386 After 6 days 1328 1337 1344 1321 1345
69. The sample average unrestrained compressive strength for 45 specimens of a particular type of brick was com- puted to be 3107 psi, and the sample standard deviation was 188. The distribution of unrestrained compressive strength may be somewhat skewed. Does the data strong- ly indicate that the true average unrestrained compres- sive strength is less than the design value of 3200? Test using a = .001.
QUESTION 9 A population has a standard deviation of 8. What is the minimum sample size needed to estimate a mean to within 2 units with 66.8% confidence? O A. 13 ОВ. 15 ОС. 14 O D. 12 O E. 16 QUESTION 10 A sample of 40 is taken from a population where the population standard deviation is known to be 5. What z should be used for an 78.7% confiden 'a12 estimate of the mean, rounded to five decimal places? O A. 1.24518 O B. 1.24526 OC1 24541 DELL F10 F8 Esc F6 F7 F4 F5 F3 # 2$ % 7 3 4
Albumin is a liver protein that helps circulate vitamins throughout the body. Reduced Albumin has been associated with severe illness with Covid-19 patients. Suppose we wanted to conduct a study to compare the mean Albumin concentration (g/L) between a sample of adult patients hospitalized for Covid 19 (Sample Mean= 32.8, s=6.0) to the mean albumin concentration (g/L) of healthy adults (u=34.1, o=7.13). How many patients would need to enroll from the hospital to conduct this study with 99% confidence, and 80% power? A. 267 B. 120 C. 352 D. 225
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9.4 A flange bolt wears out because of fatigue in accordance with the lognormal distribution with MTTF 10,000 hr and s = 2.00. If preventive maintenance consists of period- ically replacing the bolt, what is the reliability at 550 hr with and without preventive maintenance? Assume that the bolts are replaced every 100 operating hours. =
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