2. A civil engineering firm issues every new employee with a safety helmet. Four different sizesare available numbered 1 to 4. A random sample of 40 employees required the following341413UTV2 OUTM3113121242JTM41UTM3&UTMi.Construct a 90% confidence interval for the proportion of employees requiring size3.1.)ii.The firm stated that at least 32% of the employees wear size 2 helmet. Determine at1% level of significance, whether the data provide sufficient evidence to support thefirm's claim.1223123342123222424-

The confidence interval are used to determine the range of population parameter. The proportion of…

Answered: 2. A civil engineering firm issues…

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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48, what sample population averages ju = 400 msec. The distribution of simulation. In a similar study, researchers measured size would be needed to be significant for a two- 98, what sample b. If the sample moderate alcohol consumption significantly slowed reaction time 30 minutes after participants consumed e time to an emergency situation in a driving time, Liguori and Robinson (2001) found that e dardized driving simulation task for which the regular %3D tailed test with a = .05? time, Liguori and Robinson (2001) found the cáctic moderate alcohol consumption significantly slow even a response simulation. In a similar study, researchers measured reaction time 30 minutes after participants consumed one 6-ounce glass of wine. Again, they used a stan dardized driving simulation task for which the rec population averages µ = 400 msec. The distribution of reaction times is approximately normal with o = 40 Assume that the researcher obtained a sample mean of M = 422 for the n = 25…
10. The military has two different programs for training aircraft personnel. A government regulatory agency has been commissioned to evaluate any differences that may exist between the two programs. The agency administers standardized tests to randomly selected groups of students from the two programs. The results of the tests for the students in each of the programs are as follows Military Training Programs Program A Program B 11 50 55 New Battery Old Battery ki 85 87 a. Calculate a 99% confidence interval for the difference between the average scores of the two military programs. Interpret the interval. b. Can the agency conclude that there is a difference in the average test scores of students in the two programs? Use a-0.01. 9 11. Tom Sealack, a supply clerk with the Navy, has been asked to determine if a new battery that has been offered to the Navy (at a reduced price) has a shorter average life than the battery they are currently using. He randomly selects batteries of each type…
10. A chemist has developed a new synthetic fiber. To measure the fiber's strength, experiments are performed on ten strands of this fiber to determine the average number of pounds that can be supported by strands of this fiber before breaking. The following breaking-load results (in pounds) were obtained: 3.3 2.2 3.1 2.8 2.6 2.9 3.0 2.4 2.7 3.2 Construct a 95% confidence interval for the mean breaking strength of a strand of this new fiber.
2. An article in the Journal of Composite Materials (December 1989, Vol. 23, p. 1200) describes the effect of delamination on the natural frequency of beams made from composite laminates. Five such delaminated beams were subjected to loads, and the resulting frequencies (in hertz) were as follows: 230.66 233.05 232.58 229.48 232.58 a. Calculate a 99% two-sided confidence interval on mean natural frequency.
3. A company wants to test a new energy drink. Two groups of samples were pooled out from the population. Find a 95% confidence interval for the difference between the two population means using the provided information below: Group Sample Size Standard Deviation Sample Mean (100-m running speed in seconds) Group A 45 125 10 Group B 60 140 8
How do you solve this problem?
. The data given to the right includes data from 39 candies, and 5 of them are red. The company that makes the candy claims that 32% of its candies are red. Use the sample data Weights (g) of a Sample Bag of Candy Red Blue Brown Green Yellow 0.858 0.758 0.917 0.746 0.917 to construct a 90% confidence interval estimate of the 0.929 0.789 0.824 0.962 0.939 percentage of red candies. What do you conclude about the 0.892 0.734 0.712 0.968 0.716 claim of 32%? 0.972 0.843 0.858 0.934 0.843 0.948 0.957 0.919 0.971 0.741 Construct a 90% confidence interval estimate of the 0.868 0.943 0.945 0.762 population percentage of candies that are red. 0.936 0.706 0.898 0.811 0.705 0.772 0.899 %
a. Find the t values that form the boundaries of the critical region for a two-tailed test with ? = .05 for a sample size of n = 12. b. Repeat the above for a one-tailed test, with ? = .05.
1. In a test of the effectiveness of garlic for lowering cholesterol, 43 subjects were treated with garlic processed tablet form. Cholesterol levels were measured before and after the treatment. The chang (before-after) in their levels of LDL cholesterol (in mg/dL) have a mean of 4.2 and a standard devia 19.4. Construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in redu LDL cholesterol?
4. The resilient moduli of 10 samples of a clay mixture are measured and the sample mean is x = 19.50. If an experimenter wishes to use a "known" value o = 1.0 for the standard deviation of the resilient modulus measurements based upon prior experience, construct appropriate 90%, 95%, and 99% two-sided confidence intervals for the average resilient modulus µ. Compare the lengths of the confidence intervals. Do you think it is plausible that the average resilient modulus is equal to 20.0?
An economist is trying to determine the average per capita income (in thousands of dollars) of the residents of a major city in Texas. Suppose a sample of size 25 is drawn from the city with the following results: sample mean = 26 and sx = 9.6. Construct a 80% two-sided confidence interval for the mean per capita income. The Lower Limit of the two-sided confidence interval is: %3D O 23.4694 O 22.7149 O 22.0371 O 23.4733 O 22.7206 O 22.0448 O none of these
Q.3 For the following data: a) Compute SST, SSTR, SSE b) Construct a one-way ANOVA table c) Decide at the 5% significance level, whether the data provide sufficient evidence to conclude that the means of the populations from which the samples are drawn are not the same. Sample 1 Sample 2 Sample 3 Sample 4 11 16 6 2 10 7 4 10 3. we have: ng = 3 n3= 3 n4 = 3 Ta 24 = 1s Ty= 36 THa9 n z Enj = 12 Exz= IT;= &4 ..... Ex - (Ex:*/n = SSTR = I (Tim;) - (Iri)/n = ()+( )+( )+( ) -- 2. SST = 12 SSE = 5sT - SSTR = Fostatistic df MS 2 df :عاطء Souree SS MSTR/MSE 138 Treatment where: MSE- SSE/(n-k) MSTR = SSTR/(K-1) Enron Tofal df z ( 3, 8) caitical Valme s ? Compare test- statistic to cv. Do you rejuctNull or Do not rejrit what dees it mean ? write here

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