Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites using natural materials.An article reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength (MPa) was 51.4 and the sample standard deviation was 1.2. Suppose the true average strength for 0% fibers (pure cellulose) is known to be 48 MPa. Does the data providecompelling evidence for concluding that true average strength for the WSF/cellulose composite exceeds this value? (Use a = 0.05.)State the appropriate hypotheses.O H,: H < 48H: = 48OH: 4> 48H:u = 48O H,: = 48Hi u < 48O H,i = 48H: u > 48OH:= 48H: u + 48Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)P-value =What can you conclude?O The data provides compelling evidence that the true average strength for the WSF/cellulose composite exceeds 48.O The data does not provide compelling evidence that the true average strength for the WSF/cellulose composite exceeds 48.

Assume that μ defines the true average strength for the WSF/cellulose composite.

Answered: Polymer composite materials have gained…

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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It is known that the average yield per plant is 180 g and the variance is 250 g for a type of strawberry. 10 of this plant seed was grown in soils cultivated with a special method and average yield was observed to be 200 gr. Soil cultivation Test whether the method raises the yield average. (a = 0.05)
5 c.)
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Please help me with this question.
A product is designed to have length of 14cm+/0.12cm. the output of the manufacturing process is identified to be centered at 14.0.042cm and the standard deviation is estimated at 0.014cm. determine the capability of the system Cp
Total fat content (including saturated fat and trans fats) is a key characteristic of cheese. Assume that for a given type of cheese, total fat content (10-1 g/g of cheese) follows a normal distribution with a population mean of 2.85 (unit) and a population variance of 0.01 (unit2). Such an assumption is reasonable because fat content varies inside cheese and the “errors” around the mean total fat content (i.e. the value appearing on the etiquette) are distributed like a bell shape. a) What is the probability that the total fat content of this cheese exceeds 3 (unit)? b) What is the probability that the total fat content varies from 2.8 to 3 (unit)?
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According to Zero Population Growth, the average urban U.S. resident consumes 3.3 pounds of food per day. Is this figure accurate for rural U.S. residents? Suppose 64 rural U.S. residents are identified by a random procedure and their average consumption per day is 3.60 pounds of food. Assume a population variance of 1.31 pounds of food per day. Use a 5% level of significance to determine whether the Zero Population Growth figure for urban U.S. residents also is true for rural U.S. residents on the basis of the sample data. Appendix A Statistical Tables (Round your answer to 2 decimal places, e.g. 15.75.) The value of the test statistic is z = and we

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