1. Two types of plastic are suitable for use by an electronics component manufacturer.The breaking strength of this plastic is important. It is known that σ₁ = ₂ = 2 psi. Froma random sample of size n₁ = 16 and n₂ = 25, we obtain x₁ = 160 and x₂ = 154. Thecompany wants to test that the average strength of plastic 1 is greater than that of plastic2 by 5 psi. Use a=0.05.(a) Construct the null and alternative hypothesis.(b) Calculate the P-value for this test and make your conclusion.(c) Construct an appropriate 95% confidence interval to test the hypothesis and makeyour conclusion using the constructed interval.

In the field of manufacturing, it is important to ensure the quality and reliability of the…

Answered: 1. 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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The average age for licensed drivers in a county is µ = 41.6, σ = 12, and the distribution is approximately normal. A county police officer was interested in whether the average age of drivers receiving speeding tickets differed from the average age of the driving population. She obtained a sample of N = 16 drivers with speeding tickets. The average age for this sample was M = 34.4 and alpha = 0.05. calculate statistical power for this study.
The average yield of soybeans in Ohio is 58 bu/Acre (the control mean). We wish to test whether a field that has been treated with the product has soybean yields that are different than 58 bu/acre. We are going to conduct a study with 49 fields and set up the hypothesis at α=.05. After we conduct the experiment we get a sample mean x = 60 bu/Acre and s=7 bu/acre. Conduct the test. Z=____________
#3
Is the following statement true or false and why: If we do not reject ?0H0, then we conclude that ?1H1 is false. Washers used in a certain application are supposed to have a thickness of 2 millimeters. A quality control engineering measures the thickness for a sample of washers and tests ?0:?=2H0:μ=2 versus ?1:?≠0H1:μ≠0. If a Type I error is made, what conclusion will be drawn regarding the mean washer thickness?
Consider a population of values described by X ~ N(20, 92) For a specific sample of size n = 15, we have X-bar = 22.4. Find the Z-score for the X-bar value.
A manufacturer is evaluating the variation in thickness for piezoelectric actuators from two component suppliers. The two populations are independent, and the thickness measurements are normally distributed. The thickness was measured for a sample of 30 products purchased from Supplier 1, and it was found that = 3.8048 . A sample of 30 products was also purchased from Supplier 2 and it was found that 5.2967. S1 S2 Is there evidence at the 0.1 level of significance that the thickness variance for Supplier 1 is smaller than for Supplier 2? (Round answers to 3 decimal places as needed) The correct alternative hypothesis is: O H1:0 + 0 OH1: H1 > µ2 : O H1:0} < o? O H1:0 2 0 O H1:0 O H1: µ1 2 l2 O H1: 41 < µ2 The test statistic is Fobs The probability of variance ratios at or beyond Fobs occurring by chance is = The decision is to Select an answer v that the variance in The correct summary would be: Select an answer thickness for Supplier 1 is smaller than Supplier 2.
A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Single Policyholders Married Policyholders 721 = 575 n2 = 740 Number making claims = 115 Number making claims = 111 a. Use α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. z-value p-value We can conclude (to 2 decimals) X (to 4 decimals) that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number.
An experiment to compare the tension bond strength of polymer latex modified mortar (Portland cement mortar to which polymer latex emulsions have been added during mixing) to that of unmodified mortar resulted in x = 18.14 kgf/cm2 for the modified mortar (m 42) and y = 16.89 kgf/cm2 for the unmodified mortar (n 30). Let and be the true average tension bond strengths for the modified and unmodified mortars, respectively. Assume that the %D bond strength distributions are both normal. (a) Assuming that = 1.6 and o, 1.3, test Ho: Hy-H2 O versus H: µ, - µ, > 0 at level 0.01. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. Fail to reject Ho. The data does not suggest that the difference in average tension bond strengths exceeds from 0. o Fail to reject Ho. The data suggests that the difference in average tension bond strengths exceeds…
what is the relative frequency of yields in sample A that were greater than 21.5 and less than or equal to 22.5 q/ha? i am getting the wrong one. its saying mine is incorrect.

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