2. Four laboratories are being used to perform chemical analyses. Samples of the same are sent to the laboratoriesfor analysis as part of the study to determine whether or not they give, on the average, the same results. Theanalytical results for the 4 laboratories are as follows: use alpha = 0.05АвсD58 62 55 6061 64 54 6060 63 56 6059 59 53 6158 60 58 62ANOVA TABLE: Fill in the missing values. (round off to two decimal places, #,###.##)Source ofSum ofdfMean SquareComputed ff-CriticalVariationSquaresBetweenBlank 1Blank 2Blank 3Blank 4Blank 5GroupsWithin GroupsBlank 6Blank 7Blank 8TotalBlank 9Blank 10

Given : A B C D 58 62 55 60 61 64 54 60 60 63 56 60 59 59 53 61 58 60 58 62…

Answered: Four laboratories are being used to…

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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Four laboratories are being used to perform chemical analyses. Samples of the same are sent to the laboratories for analysis as part of the study to determine whether or not they give, on the average, the same results. The analytical results for the 4 laboratories are as follows: use alpha = 0.05 AB C D 58 62 55 60 61 64 54 60 60 63 56 60 59 59 53 61 58 60 58 62 ANOVA TABLE: Fill in the missing values. (round off to two decimal places, ######) Source of Sum of Squares df Mean Square Computed f f-Critical Variation Between Groups Blank 3 Blank 5 Blank 1 Blank 2 Blank 4 Within Groups Blank 6 Blank 7 Blank 8 Blank 9 Blank 10 Total Choose below the appropriate decision Blank 11 a The four laboratories give the same result b The four laboratories are not producing the same results. c Labs A and B are giving the same results. d none of the above Blank 1 Add your answer Blank 2 Add your answer
A certain virus affects 0.5% of the population. A test used to detect the virus in a person is positive 90% of the time if the person has the virus (true positive) and 15% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus Total Positive Test Negative Test Total 100,000 a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign.
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus TotalPositive Test Negative Test Total 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %
The owner of a new car conducts a series of six gas mileage tests and obtains the following results, expressed in miles per gallon: 3., 22.7, 21.4, 20.6, and 21.4. 20.9. Find the mode for these data.
A study was carried out to determine the influence of a trace elementfound in soil on the yield of potato plants grown in that soil, defined asthe weight of potatoes produced at the end of the season. A large fieldwas divided up into 14 smaller sections for this experiment. For eachsection, the experimenter recorded the amount of the trace elementfound (in milligrams per metre squared) and the corresponding weightof the potatoes produced (in kilograms). This information is presentedin the worksheet ‘Dataset5’ in the Excel document. Define X as thetrace element amount and Y as the yield.1. Draw a scatterplot of your data set.Page 52. Calculate the coefficients of a linear equation to predict the yieldY as a function of X.3. Calculate the correlation coefficient for the paired data values.4. Set up the framework for an appropriate statistical test to establish if there is a correlation between the amount of the trace element and the yield. Explain how having the scatterplot referredto…
Four laboratories are being used to perform chemical analysis. Samples of the same material are sent to the laboratories for analysis as part of the study to determine whether or not they give, on the average, the same results. The analytical results for the 4 laboratories are as follows: Laboratory A B D 58.7 62.7 55.9 60.7 61.4 64.5 56.1 60.3 60.9 63.1 57.3 60.9 59.2 60.3 59.1 55.2 61.4 58.2 58.1 62.3 Perform the ANOVA at the 0.05 level of significance and give conclusions concerning the laboratories. The conclusion is a. There is no significant relationship among the average number of chemicals produced by the four laboratories. b. The average number of chemicals produced by the four laboratories are the same. c. There is a significant relationship among the average number of chemicals produced by the four laboratories. d. At least two of average number of chemicals produced by the four laboratories are significantly. A
A population of scores with p = 38 and CT = 6 is standardized to create a new population with p = 50 and CT =10. What is the new value for each of the following scores from the original population? original score X = 26 X = 35 X = 44 X = 47
A botanist grew 24 pepper plants on the same greenhouse bench. After 21 days, she measured the total stem length (cm) of each plant, and obtained the following values: 10.1 10.9 11.8 12.2 12.2 12.5 13.2 13.2 13.5 What terms can be used to classify the variable of interest in this study? 9.8 12.1 13.1 O A. Categorical - Nominal OB. Categorical - Ordinal OC. Numeric - Continuous OD. Numeric - Discrete 11.3 12.3 13.4 11.9 12.6 13.5 12.0 12.7 13.6 12.0 13.0 14.1
A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150
One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts to be within 10.005 inch of the length specified by the automobile company. Data are collected from a sample of 50 steel parts and are shown in the following table. The measurement reported is the difference in inches between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, -0.003, represents a steel part that is 0.003 inch shorter than the specified length. Complete parts a through c Click the icon to view the data table. a. Construct a frequency distribution Difference in Length -0.005 but less than -0.003: -0.003but less than -0.001 -0.001but less than 0.001 0.001but less than 0.003 0.003but less than 0.005 Frequency Difference Between Actual and Specified Lengths 0.002 0 -0.003…
Four laboratories were being used to perform chemical analyses. Samples of the same material were sent to the laboratories for analysis as part of the study to determine whether or not they give on the average the same results. The analytical results for the (four) laboratories were as follows: Laboratory A B C D 3.7 7.7 0.9 5.7 6.4 9.5 1.1 5.3 5.9 8.1 2.3 5.9 4.1 4.2 0.2 6.4 3.2 5.3 3.1 7.3 a) Can we conclude that the laboratories are equally effective? Use 0.05 level of significance b) Interpret your results
When exposed to an infection, a person typically develops antibodies. The extent to which theantibodies respond can be measured by looking at a persons titer, which is a measure of the number of antibodies present. The higher the titer is, the more antibodies that are present. The data in Table represent the titers of 11 ill people and 11 healthy people exposed to the tularemia virus in Vermont. Is the level of titer in the ill group greater than the level of titer in the healthy group? Use the α = 0.10 level of significance.

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