A laboratory engineer describes an experiment in which the tensile strength of asynthetic fiber is of interest to the manufacturer. It is suspected that strength isrelated to the percentage of cotton in the fiber. Five levels of cotton percentageare used, and five replicates are run in random order, resulting in the databelow:Observations...Cotton (%)123415771511920121712181825141818191930192522192335710111511Does cotton percentage affect breaking strength? Test the hypothesis at alpha0.05F critical is Blank 1F stat is Blank 2Decision is to Blank 3 the null hypothesis. (accept or reject)Blank 1Add your answerBlank 2Add your answerBlank 3Add your answer

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Answered: A laboratory engineer describes an…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(b) A consumer testing agency is interested in determining whether there is a difference in the mileage for three brands of gasoline. To test this, four different vehicles are driven with each of these gasolines. Results are shown in the table below Gasoline Vehicle A B 19 25 22 II 26 33 39 20 28 25 IV 18 30 Perform a Freidmans test to detemine whether there is a difference between the three gasoline medians at the a = 5%. 21
An official of a large car manufacturing company wanted to study the relationship between an employee's age and the number of absences. For this, a random sample of 10 randomly selected employees was collected and the following data was obtained. The material: age 40 28 34 27 21 38 19 55 31 35 number of absences 1 6 6 9 12 4 13 2 5 3 (a) Predict the number of absenteeism for a 42-year-old employee.(b) Determine the 95% prediction interval for the number of absences for the employee in (a).
4. A community college wants to analyze the age and GPA of its students. Here is the data: Age 18 40 25 38 44 19 51 28 31 24 GPA 2.9 3.3 2.0 3.9 3.7 2.7 3.9 3.5 1.9 2.9 3.4 Can we say that there is a significant relationship between these variables? (Use a = %3D .05) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence: 21
#2...Can you write out answer please n thank u
Johnson and Leone describe an experiment to investigate the warping of copper plates. The two factors studied were temperature and the copper content of the plates. The response variable was a measure of the amount of warping. The data are as follows: Temperature (°C) 50 75 100 Copper Content (%) 40 60 80 100 17 20 12 9 16 12 21 17 21 16 24 21 18 13 18 21 ZZFEHERRE 23 22 27 17 27 31 30 23 29 31 12 25 23 23 28 22 125 Source: Applied Statistics and Probability for Engineers, 6th Edition, Douglas, C. Montgomery & George, C. Runger. 1. Draw and interpret the interaction plot. ii. Is there any significant interaction between the factors? Use a = 0.05. ii. Can your interpretation in (i) be validated in (ii)? Twelve plants are randomly
In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. x 0.243 0.245 0.286 0.263 0.268 0.339 0.299 y 1.0 3.3 5.5 3.8 3.5 7.3 5.0 A) Compute r. (Round your answer to three decimal places.) B) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer.
A group is interested in seeing if the mean gas mileages from two different brands of gasoline are the same. To test this, they sampled 23 cars that used Type A gas and 17 cars that used Type B gas. From these samples, they calculated the following descriptive statistics (in terms of miles per gallon): Type A Gas Type B Gas ?n 23 17 ?⎯⎯⎯x¯ 29 29 ?s 4 5 (Assume the samples are independent and that the populations are normally distributed with unknown mean and standard deviation) (a) Is there significant evidence to suggest that there is a difference in gas milage? Test this at the ?=0.05α=0.05 significance level. State your conclusions regarding H0 (b) Calculate a 95% confidence interval for the true difference of the means. State your conclusions after calculating the interval.
Lecture(8.4): Researchers were interested in whether the number of books children carried differed between gender. It was hypothesized that girls would carry more books than boys.Twenty children were recruited and matched based on age and SES..Researchers then collected the number of the age of the appropiate books the children carried. A Summary of the result is given below: Girls 15 7 22 13 26 14 12 11 18 30 Boys 12 10 16 8 17 9 15 10 20 15 Test the hypotheses at (alpha=0.05) level of signifance
Let x be the average number of employees in a group health insurance plan, and let y be theaverage administrative cost as a percentage of claims. The following data is based on a randomsample:x 5 7 15 25 35y 40 35 30 20 25a. Plot a scatter diagram of the above data.b. Estimate the sample correlation coefficient r as positive, zero, or negative.c. Interpret your results from parts a. and b.
2. A researcher had rats engage in a lever-press task for either a small, medium, or larger reward. The number of lever presses was the dependent variable. The data were as follows: Reward Size Small Medium Large 1 4 6 4 3 5 1 4 4 2 5 T = 13 SS = 2.75 T= 6 T= 20 SS = 9 SS = 2 EX2 = 165 a. Do the data indicate that reward size had a significant impact on lever-pressing? Use the hypothesis testing steps & p = .05. Compute any necessary post-hoc tests. b. Compute eta-squared to measure the effect size.
In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. x0.241 0.263 3.8 0.261 0.286 0.268 3.5 0.339 0.299 y 1.1 3.3 5.5 7.3 5.0 (a) Make a scatter diagram of the data. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. WebAssign. Graphing Too (b) Use a calculator to verify that Ex = 1.957, Ex2 = 0.553, Ey = 29.5, Ey2 = 147.33 and Exy = 8.607. Compute r. (Round your answer to three decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to remain constant as x increases.…
A materials engineer wants to understand the relationship between the strength of plastic cases and the temperature at which the strength measurements were made. The engineer collects several samples from the manufacturer and records the following observations. Using the data below and what you have learned in Forecasting, determine the following (use four decimal places for values): 1) Which is the explanatory variable? 2) What would be the value of the coefficient of correlation between the two variables? 3) What would be the complete interpretation of the relationship between the two variables (consider sign and value)?

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