The titanium content in an aircraft-grade alloy is an important determinant of strength. Asample of 20 test coupons reveals the following titanium content (in percent):8.32, 8.05, 8.93, 8.65, 8.25, 8.46, 8.52, 8.35, 8.36, 8.41, 8.42, 8.30, 8.71, 8.75, 8.60, 8.83, 8.50,8.38, 8.29, 8.46. The median titanium content should be 8.5%.Use the sign test with a = 0.05 to investigate this hypothesis. Match the answers.v Parameter of Interest:a. Median Titanium contentv Null and Alternative Hypothesis:b. Mean of the Titanium content- v Test Statistic:c. Hi u=8.5H:u+ 8.5v Reject the null hypothesis if:d. Fail to reject the null hypothesis. There is not enough evidence to conclude that the median of the titaniumcontent differs from 8.5%v Conclusione. Hi u =8.5H: i >8.5f. Reject the null hypothesis. The median of the titanium content differs from 8.5%.g.r- = 12h.r

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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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In an attempt to develop a model of wine quality as judged by wine experts, data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 12 wines, a model was created using the percentages of alcohol to predict wine quality. For those data, SSR=19,812 and SST=30,298. Use this information to complete parts (a) through (c) below. a. Determine the coefficient of determination, r2, and interpret its meaning. r2=enter your response here (Round to three decimal places as needed.) Interpret the meaning of r2. It means that enter your response here% of the variation in ▼ alcohol content wine quality can be explained by the variation in ▼ alcohol content. wine quality. (Round to one decimal place as needed.) b. Determine the standard error of the estimate. SYX=enter your response here (Round to four decimal places as needed.) c. How useful do you think this regression model is for predicting wine…
The following data was reported on total Fe for four types of iron formation (1 = carbonate, 2 = silicate, 3 = magnetite, 4 = hematite). 1: 20.6 28.1 27.8 27.0 27.9 25.2 25.3 27.1 20.5 31.2 2: 26.5 24.0 26.2 20.2 23.6 34.0 17.1 26.8 23.7 24.8 3: 30.2 34.0 27.5 29.4 28.3 26.2 29.9 29.5 30.0 35.8 4: 36.6 44.2 34.1 30.3 32.0 33.1 34.1 32.9 36.3 25.2 Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: at least two ?i's are equalH0: ?1 = ?2 = ?3 = ?4Ha: all four ?i's are unequal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: all four ?i's are equalH0: ?1 = ?2 = ?3 = ?4Ha: at least two ?i's are unequal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Source df Sum ofSquares MeanSquares f Treatments Error Total Give the test statistic. (Round your answer to two decimal places.)
An experiment was conducted to test the effects of five different diets (A-E) in turkeys. Six turkeys were randomly assigned to each of the five different diet groups (Diet) and were fed for a fixed period of time. The weight gained in pounds was recorded for each turkey and the data was entered into R for analysis. R produced the following output. Between Within Total a. له له له م په b. C. d. e. Sum-of-squares (SS) Degrees of freedom Mean square (MS) ?? (b) 103.04 ???.?? (a) 110.9249 25 29 ????.??? (c) ????.??? (d) Find the sum-of-squares for within-group variability. Find the degrees of freedom for between-group variability. Find the mean-square of the between-group variability. F-statistic ??.????? p-value ????.??? (e) Find the mean-square of the within-group variability. Find the p-value for the ANOVA F-test. What is the conclusion? Are the means of the five diets significantly different?
Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results: Stick:[25.5,26.7,26.5,26.6,26.3,26.4] Liquid:[16.5,17.1,17.5,17.3,17.2,16.7] We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? a) z = 39.604 b) t = 25.263 c) t = 39.604 d) z = 39.104 e) t = 39.104
The following data was reported on total Fe for four types of iron formation (1 carbonate, 2 silicate, 3 magnetite, 4 hematite). 1: 21.0 28.1 27.8 27.0 27,8 25.2 25.3 27.1 20.5 31.5 2: 26.2 24.0 26.2 20.2 23.6 34.0 17.1 26.8 23.7 25.0 3: 29.6 34.0 27.5 29.4 26.4 26.2 29.9 29.5 30.0 35.5 4: 37.1 44,2 34.1 30.3 31.8 33.134.1 32.9 36,3 25.3 A USE SALT Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. H at least two 's are equal Ho Hi= Ha = H4 H at least two 's are unequal O Ho = = 4 H al four s are unequal H all four 's are equal
A sample of birth weights of 38 girls was taken. Below are the results (in g): 4002.7 3558.2 31 3104.4 3405.2 3094.4 3145.7 2903.5 3641.1 3530.4 2348.2 3027.4 3542.7 2151.5 3583.6 3280.3 4072.1 2989.5 3595.1 2444.4 3537.2 1969 3720.5 3440.5 3395.8 3323.1 3475.6 3159.5 3099.8 3070.7 2838.1 2997.8 2584 2577 2850.5 2995.6 2940.9 3845.8 3173.6 (Note: The average and the standard deviation of the data are respectively 3168.8 g and 480.8 g.) Use a 1% significance level to test the claim that the standard deviation of birthweights of girls is less than the standard deviation of birthweights of boys, which is 510 g. Procedure: Select an answer Assumptions: (select everything that applies) Population standard deviation is unknown The number of positive and negative responses are both greater than 10 O Population standard deviation is known Normal population Sample size is greater than 30 Simple random sample
The following is data about the hemoglobin concentrations of volunteers collected at sea level and at an altitude of 11000 feet. sea level concentrations = [14.70 , 15.22, 15.28, 16.58, 15.10 , 15.66, 15.91, 14.41, 14.73, 15.09, 15.62, 14.92]11000 feet concentrations = [14.81, 15.68, 15.57, 16.59, 15.21, 15.69, 16.16, 14.68, 15.09, 15.30 , 16.15, 14.76] There are two alternative scenarios about the way the data were obtained. In scenario 1, there are 12 volunteers who lived for a month at sea level, at which time blood was drawn and the data in "sea level concentrations" dataset were obtained. Subsequently, all 12 volunteers were moved to 11000 ft and after a month the data in the "11000 feet concentrations" dataset obtained. There is a one to one correspondence between the numbers in the two datasets, that is the first numbers correspond to volunteer1, the second numbers to volunteer2 etc. In scenario 2, the "sea level concentrations" dataset is a random sample obtained from 12…
In a study of exhaust emissions from school buses, the pollution intake by passengers was determined for a sample of nine school buses used in the Southern California Air Basin. The pollution intake is the amount of exhaust emissions, in grams per person, that would be inhaled while traveling on the bus during its usual 18-mile trip on congested freeways from South Central LA to a magnet school in West LA. Here are the amounts for the nine buses when driven with the windows open. 1.17 0.33 0.40 0.33 1.32 0.38 0.25 0.40 0.35 (a) Consider making a stemplot. Are there outliers or strong skewness that would preclude use of the t procedures? Which is correct? A. The sample is small and the stemplot is right skewed with possible outliers, so use of t procedures is not appropriate. b. The distribution is symmetric so use of t procedures is appropriate. c. The sample is small and the stemplot is left skewed with possible outliers, so use of t procedures is…
2 In building electronic circuitry, the breakdown voltage of diodes is an important quality char- Acteristic. The breakdown voltage of 12 diodes were recorded as follows (in volta): 9.099 9.174 9.327 9.377 8.471 9.575 9.514 8.928 8.800 8.920 9.913 8.306 Solution A quality engineer claimed that the variability of the breakdown voltage is not less than 0.55. Can the data support the engineer's claimed at a 0.057 ii. If level of significance is reduced to 0.02, will you change the conclusions you have made in (i)? Justified your answer.
There is a relationship between political affiliation (on a scale of 1 to 10, where 1 = very liberal and 10 = very conservative) and U.S. geographic regions, such that people living in the Northeast are more likely to consider themselves liberal than people living in the South. what is my unit of analysis?
A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen, resulting in the accompanying data. 1.16 5.09 0.97 1.59 4.60 0.32 0.55 1.45 0.16 4.47 1.20 3.50 5.02 4.67 5.22 2.69 3.97 3.17 3.03 2.21 0.69 4.47 3.31 1.17 0.77 1.17 1.57 2.62 1.66 2.05 The values of the sample mean, sample standard deviation, and (estimated) standard error of the mean are 2.484, 1.612, and 0.294, respectively. Does this data suggest that the true average percentage of organic matter in such soil is something other than 3%? Carry out a test of the appropriate hypotheses at significance level 0.10. [Note: A normal probability plot of the data shows an acceptable pattern in light of the reasonably large sample size.] State the appropriate hypotheses. ⒸH₁: μ = 3 H₂:μ # 3 OH:μ #3 Ha: μ 3 t = P-value = Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal…

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