Six different machines are being considered for use inmanufacturing rubber seals. The machines are beingcompared with respect to tensile strength of the product.A random sample of four seals from each machineis used to determine whether the mean tensile strengthvaries from machine to machine. The following are thetensile-strength measurements in kilograms per squarecentimeter x 10-1:117.5216.4Machine320.3414.617.519.218.316.915.819.215.717.816.720.816.217.716.517.518.9 18.9 20.5 20.118.6 15.4Perform the analysis of variance at the 0.05 level ofsignificance and indicate whether or not the mean tensilestrengths differ significantly for the six machines.

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Answered: Six different machines are being…

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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The age of a tree can be determined by counting each annual growth ring in the trunk of the tree. A common measure of the size of a tree is the "diameter at breast height" DBH. "Breast height" is defined as 4 ½ feet above the uphill side of the tree. Consider the following data on 12 northern red oaks from southwestern Wisconsin: 11 15 28 1.5 1.0 6.0 45 12 52 16.5 11.0 | 10.5 9.0 Age(years) | 97 93 88 81 75 57 1.0 DBH(inch) | 12.5 12.5 8.0 9.5 d) What is the range of validity of this model?
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Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water. Bottom 0.430 0.266 0.567 0.531 0.707 0.716 0.651 0.589 0.469 0.723 Surface 0.415 0.238 0.390 0.410 0.605 0.609 0.632 0.523 0.411 0.612 Does the data suggest that the true average concentration in the bottom water is different than that of surface water? Note: You can assume that the conditions for inference are met.
The following data represents the weight in kg of :a product 1 6 2 7 2 1 4 5 1 3 :Find :Mean 3.9 4.1 3.2 3.8 :Median 3.5 4.5 4.0 2.5 :Mode
Data consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among Children" on total calorie consumption on a particular day are given for a sample of children who did not eat fast food on that day and for a sample of children who did eat fast food on that day. Assume that it is reasonable to regard these samples as representative of the population of children in the United States. No Fast Food 2342 1929 1020 1741 1480 2064 2154 1992 1863 1788 1776 1838 1659 1517 2680 Fast Food 2522 1757 933 2327 2433 2266 2525 1194 889 1510 874 2206 1810 1249 2116 (a) Use the given information to estimate the mean calorie intake for children in the United States on a day when no fast food is consumed. (Give the answer to one decimal place.) 1856.2 (b) Use the given information to estimate the mean calorie intake for children in the United States on a day when fast food is consumed. (Give the answer to one decimal place.) 1774.1 (c) Use the…
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Compute the values below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 0.05. Mean Squares, Treatment 0000 Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). 1 17 23 21 19 What conclusion can you draw after carrying out this test? - Select your answer - Manufacturer 2 28 26 31 27 + 3 18 17 21 20 The p-value is - Select your answer - What is your conclusion? - Select your answer - b. At the a = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3. Calculate Fisher's LSD Value (to 2 decimals).
Listed below are pulse rates (beats per minute) from samples of adult males and females. Does there appear to be adifference? Find the coefficient of variation for each of the two samples; then compare the variation. A. The coefficient of variation for the male pulse rates iS (Type an integer or decimal rounded to one decimal place as needed.) B. The coefficient of variation for the female pulse rates is (Type an integer or decimal rounded to one decimal place as needed.)
A traffic office in a country was in charge of a study where the safety of passengers in different types of cars was examined. Three models were examined; small cars, minivans and SUVS and six cars in each category were inspected. A special traffic accident simulator was used in the study and the pressure on the drivers' heads was measured. Umferðarastofa wanted to investigate whether there was a difference in the average pressure on the head during a collision in these three types of cars and used a variance analysis for this purpose. Failed to complete the square sum table, which can be seen below. weekend sum degree of freedom ave week sums between groups (area) 725.4 within groups (area) 178.6 XXX total Questions 1-3 deal with this study by the Traffic Authority. Question 1 What value should be given where xxx is in the table? 1 1.91 2. 2679 3. 3036.2 4. The information provided cannot be answered. Question 2 to be used to check if there is a difference in the average- What is the…
Several methods of estimating the number of seeds in soil samples have been developed by ecologists. An article gave the accompanying data on the number of seeds detected by the direct method and by the stratified method for 27 soil specimens. Specimen 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Direct 21 33 0 60 20 61 40 8 13 93 1 68 77 21 Stratified 8 37 8 57 53 61 28 8 8 100 0 57 68 53 Specimen 15 Find the test statistic. (Round your answer to two decimal places.) t = 16 17 18 19 20 21 22 23 24 25 26 27 Direct Find the df. (Round your answer down to the nearest whole number.) df = 33 0 37 17 93 1 40 21 0 8 13 Use technology to find the P-value. (Round your answer to four decimal places.) P-value = 17 40 Stratified 28 0 37 13 93 13 48 21 0 13 40 Do the data provide sufficient evidence to conclude that the mean number of seeds detected differs for the two methods? Test the relevant hypotheses using a = 0.05. (Use direct stratified.) 13 77
Construct a dot plot for the asphalt data.(In the article “Evaluation of Low-Temperature Properties of HMA Mixtures”, the following values of fracture stress (in megapascals) were measured for a sample of 24 mixtures of hot-mixed asphalt (HMA).30 75 79 80 80 105 126 138 149 179 179 191223 232 232 236 240 242 245 247 254 274 384 470
Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data: MOE 29.7 33.1 33.6 35.2 35.4 36.2 36.2 36.3 37.4 37.8 Strength 5.8 7.1 7.2 6.2 8.0 6.9 7.1 7.7 6.7 6.4 МОЕ 38.6 38.7 39.7 40.9 42.7 42.7 43.6 45.7 45.9 46.8 Strength 7.1 6.4 8.0 8.9 8.3 8.8 7.9 9.6 7.3 7.6 МОЕ 47.9 49.2 51.6 62.7 69.7 79.6 80.1 Strength 9.8 7.7 7.8 11.5 11.4 11.9 10.6 Fitting the simple linear regression model to the n = 27 observations on x = modulus of elasticity and y = flexural strength given in the data above resulted in ý = 7.589, s, = 0.180 when x = 40 and ý = 9.749, s, = 0.255 for x = 60. The simple linear regression model also resulted in a value of s = 0.8718. (a) Explain why s, is larger when x = 60 than when x = 40. O The closer x is to…
he General Social Survey asked the question, "After an average work day, about how many hours do you have to relax or pursue activities that you enjoy?" to a random sample of 1,155 Americans. The average relaxing time was found to be 1.65 hours. G. What is D. What is the statistic given? Describe it in words and give the numerical value. E. Describe the parameter corresponding to the statistic from Part (D) in words.

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