Define the following terms: a. experimental factor b. classification factor c. fixed effect factor d. random effect factor
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Define the following terms:
a. experimental factor
b. classification factor
c. fixed effect factor
d. random effect factor
a)
Experimental factor:
If the experimental units are randomly assigned to the factor levels, then the factor is called the experimental factor.
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- The scientific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below. City Number of papers City Number of papers City 1 99 City 11 66 City 2 2020 City 12 44 City 3 2929 City 13 1313 City 4 3030 City 14 2929 City 5 2828 City 15 77 City 6 3030 City 16 1616 City 7 2727 City 17 2727 City 8 99 City 18 1515 City 9 2626 City 19 2929 City 10 2020 City 20 2727 Construct a 9090 % confidence interval for the average number of papers published in major world cities. <μ<<μ<b) The data in table 4b below gives the number of nonconforming bearings and seal assemblies in a sample size of 100. Sample No. Nonconforming Assemblies i. iii. 1 2 3 4 5 6 6523 7 8 7 8 9 10 11 12 13 14 15 16 17 18 19 20 10 5 3 7 6 16 0981415710 Table 4b Calculate the UCL and LCL for this data Plot a fraction non-conforming control chart for the data. If any points plot outside of the control limits, assume that assignable causes can be found and determine the revised control limits.The scientific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below. City Number of papers City Number of papers City 1 15 City 11 30 City 2 22 City 12 55 City 3 20 City 13 25 City 4 20 City 14 55 City 5 23 City 15 10 City 6 21 City 16 15 City 7 99 City 17 77 City 8 24 City 18 22 City 9 24 City 19 22 City 10 33 City 20 29 Construct a 9090 % confidence interval for the average number of papers published in major world cities. _______<μ<________
- 17 Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The data are shown below: Number of Pages (xx) Cost(yy) 230 34.5 944 154.6 666 100.9 930 153.5 221 40.15 375 69.25 442 66.3 722 118.3 921 152.15 885 149.75 761 131.15 A student calculates a linear model using technology (Statistics Calculator or Computer)y = ___ x + ____ . (Please show your answers to two decimal places)Use the model to estimate the cost when number of pages is 424.Cost = $_______3.24: The data in the accompanying table are from the Organization for Economic Co-operation and Development (data.oecd.org/eduatt/population-with-tertiary-education.htm, retrieved February 18, 2018). Entries in the table are the percentage of 25- to 34-year-old people who have completed a 4-year college degree for 27 countries in 2016. Country Percentage of people age 25 to 34 with 4-year degree Country Percentage of people age 25 to 34 with 4-year degree Australia 49.3 Italy 25.6 Austria 39.7 Japan 60.1 Canada 60.6 Mexico 21.8 Colombia 28.1 New Zealand 43.4 Costa Rica 28.9 Norway 48.6 Czech Republic 32.6 Poland 43.5 Denmark 45.9 Portugal 35.0 Finland 41.1 Spain 41.0 France 44.0 Sweden 47,.2 Germany 30.5 Switzerland 48.8 Greece 41.0 Turkey 30.5 Hungary 30.4 United Kingdom 52.0 Iceland 43.3 United States 47.5 Israel 47.4…6.34 Barking deer. Microhabitat factors associated with forage and bed sites of barking deer in Hainan Island, China were examined. In this region woods make up 4.8% of the land, cultivated grass plot makes up 14.7%, and deciduous forests make up 39.6%. Of the 426 sites where the deer forage, 4 were categorized as woods, 16 as cultivated grassplot, and 61 as deciduous forests. The table below summarizes these data.39 Woods Cultivated grassplot Deciduous forests Other Total 4 16 61 345 426 (a) Write the hypotheses for testing if barking deer prefer to forage in cer- tain habitats over others. (b) What type of test can we use to answer this research question? (c) Check if the assumptions and conditions required for this test are sat- isfied. (d) Do these data provide convincing evidence that barking deer prefer to forage in certain habitats over others? Conduct an appropriate hypoth- esis test to answer this research question. Photo by Shrikant Rao (http://flic.kr/p/4Xjdkk) CC BY 2.0…
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- Concerned about the initial monitoring data, the environmental action group decides to continue to monitor the plant, and try to gather more evidence for their case. A random sample of twenty-six hours is selected over a period of a week. The observations (gallons of wastewater discharged per hour) are 1036 1047 996 1052 1136 1131 958 1058 1087 1146 1111 1040 884 997 1130 994 963 1127 1136 1126 The output of a statistical analysis software on this dataset is shown below N Mean Std. Dev. 26 1081 89.6 Reading the output, we find that • The sample size is n = • The sample mean is a • The sample standard deviation is s = • From this we can calculate the standard error to be SE Note that the observed sample mean is is greater than 1000 gallons per hour. This could mean that the plant is discharging more wastewater than they promised, or the plant could be in compliance, and the large numbers were due to sampling variability. To see if this is the case, we will test the hypothesis that u…c. Five-Number Summary d. Distribution characteristics (positively or negatively skewed)Engineers are interested in comparing the mean hydrogen production rates per day for three different heliostat sizes. From the past week’s records, the engineers obtained the amount of hydrogen produced per day for each of the three heliostat sizes. Then they computed and compared the sample means, which showed that the mean production rate per day increased with the heliostat sizes. a. Identify the type of the study describe here. b. Discuss the type of interference that can and cannot be drawn from this study.
