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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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In an article in IEEE Transactions on Instrumentation and Measurement (2001,
Vol. 50, pp. 986-990), researchers reported on a study of the effects of reducing
current draw in a magnetic core by electronic means. They measured the current in a
magnetic winding with and without the electronics in a paired experiment. Data for
the case without electronics are provided in the Table.
Current Without Electronics
(mA)
Supply Voltage
0.66
7.32
1.32
12.22
1.98
16.34
2.64
23.66
3.3
28.06
3.96
33.39
4.62
34.12
3.28
39.21
5.94
44.21
6.6
47.48
(a) Fit a regression line to predict current without electronics to supply voltage. Is
there a significant regression at a = 0.05? What is the P-value?
(b) Estimate the correlation coefficient.
(c) Test the hypothesis that p = 0 against the alternative p=0 with a = 0.05. What is
the P-value?

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In an article in IEEE Transactions on Instrumentation and Measurement (2001, Vol. 50, pp. 986-990), researchers reported on a study of the effects of reducing current draw in a magnetic core by electronic means. They measured the current in a magnetic winding with and without the electronics in a paired experiment. Data for the case without electronics are provided in the Table. Current Without Electronics (mA) Supply Voltage 0.66 7.32 1.32 12.22 1.98 16.34 2.64 23.66 3.3 28.06 3.96 33.39 4.62 34.12 3.28 39.21 5.94 44.21 6.6 47.48 (a) Estimate the correlation coefficient. (b) Test the hypothesis that p = 0 against the alternative p=0 with a = 0.05. What is the P-value? (c) Compute a 95% confidence interval for the correlation coefficient.
The article refered to in Exercise 1 also considered the effect of gypsum on the electric conductivity (in dS m) of soil. Two types of soil were each treated with three different amounts of gypsum, with two replicates for each soil-gypsum combination. The data are presented in the following table. Soil Type Gypsum (g/kg) Las Animas Madera 0.00 1.52 1.05 1.01 0.92 0.27 1.49 0.91 1.12 0.92 0.46 0.9 0.92 0.88 0.92 Is there convincing evidence of an interaction between the amount of gypsum and soil type? Can you conclude that the conductivity differs among the soil types? Can you conclude that the conductivity differs with the amount of gypsum added? C.
The article "Experimental Measurement of Radiative Heat Transfer in Gas-Solid Suspension Flow System" (G. Han, K. Tuzla, and J. Chen, AIChe Journal, 2002:1910- 1916) discusses the calibration of a radiometer. Several measurements were made on the electromotive force readings of the radiometer (in volts) and the radiation flux (in kilowatts per square meter). The results (read from a graph) are presented in the following table. Heat flux (y) 15 31 51 55 67 89 Signal output (x) 1.08 2.42 4.17 4.46 5.17 6.92 Compute the least-squares line for predicting heat flux from the signal output. If the radiometer reads 3.00 V, predict the heat flux. If the radiometer reads 8.00 V, should the heat flux be predicted? If so, predict it. If not, explain why. C.
Data from the US Department of Energy’s US Energy Information Administration (eia.doe.gov) provides a look at the energy-related carbon dioxide emissions by end use sector (residential, commercial, industrial, transportation) from years 1990 to 2009. (Report # DOE/EIA0573(2009)). Here we would like to see if the CO2 emissions from the Industrial sector are less than that from the Transportation sector. Below are the results: 14. What type of study is this? a. Paired b. Two-Sample Independent 15. What type of plot would we use? a. Histogram of the differences b. Side-by-side boxplots c. Pie chart d. Bar graph 16. Was the HOV/pooled test used above (hint: look at the df)? YES NO 17. Is there evidence that the CO2 emissions from the Industrial sector are less than that from the Transportation sector? YES NO 18. If we were to test to see if there was a difference between the CO2 emissions from the Industrial sector and the Transportation sector, what would be the p-value? (report to 3…
Describe and compare the measurement of the central tendency and thedispersion of the electric usage before and after implementing the newelectric meter based on the histogram and box plots given.
Foot ulcers are common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. The article “An Intelligent Insole for Diabetic Patients with the Loss of Protective Sensation" (Kimberly Anderson, M.S. Thesis, Colorado School of Mines), reports measurements of temperatures, in °F, of both feet for 18 diabetic patients. The results are presented in the Table Q1. Table Ql: Measurements of temperatures, in °F of left foot Vs right foot for 18 diabetic patients Left Foot Right Foot Left Foot Right Foot 80 80 76 81 85 85 89 86 80 86 75 87 82 88 78 78 89 87 80 81 87 82 87 82 78 78 86 85 88 89 76 80 89 90 88 89 (d) Test the slope, ß1 = 1 at 5% level of significance. (e) Calculate the coefficient of correlation r and r2 and then interpret their values
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
Foot ulcers are common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. The article “An Intelligent Insole for Diabetic Patients with the Loss of Protective Sensation" (Kimberly Anderson, M.S. Thesis, Colorado School of Mines), reports measurements of temperatures, in °F, of both feet for 18 diabetic patients. The results are presented in the Table QI. Table Q1: Measurements of temperatures, in °F of left foot Vs right foot for 18 diabetic patients Left Foot 80 foo Right Foot Right Foot 81 Left Foot (a) berature m80 85 76 85 89 86 9 marks) 75 80 87 82 88 foot temper 86sof 89 would thei 87 ht foo temp 80ures will 78s differ by 278reespredict by 81 (b) 87 82 87 82 I marks) 78 right foot to9erature for 76 tient whose 0 foot tmperature 78 86 85 (c) 88 89 90 88 89 (I marks) (d) Test the slope, ß1 = 1 at 5% level of significance. (e) Calculate the coefficient of correlation r and r² and then interpret their values
A random sample of 150 individuals (males and females) was surveyed, and the individuals were asked to indicate their year incomes. The results of the survey are shown below. Income Category Category 1: $20,000 up to $40,000 Category 2: $40,000 up to $60,000 Category 3: $60,000 up to $80,000 Edit Format Table Test at a = .05 to determine if the yearly income is independent of the gender. (CSLO 1,6,7) 12pt Male 10 35 15 V Paragraph BI U A Female 30 15 45 > 2 T² :
Cell Phone Radiation Listed below are the measured radiation absorption rates (in W/kg) corresponding to these cell phones: iPhone 5S, BlackBerry Z30, Sanyo Vero, Optimus V, Droid Razr, Nokia N97, Samsung Vibrant, Sony Z750a, Kyocera Kona, LG G2, and Virgin Mobile Supreme. The data are from the Federal Communications Commission.
In a certain article, laser therapy was discussed as a useful alternative to drugs in pain management of chronically ill patients. To measure pain threshold, a machine was used that delivered low-voltage direct current to different parts of the body (wrist, neck, and back). The machine measured current in milliamperes (mA). The pretreatment experimental group in the study had an average threshold of pain (pain was first detectable) at u = 3.22 mA with standard deviation o = 1.21 mA. Assume that the distribution of threshold pain, measured in milliamperes, is symmetric and more or less mound-shaped. (Round your answers to two decimal places.) (a) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 68% of the experimental group will have a threshold of pain from mA to mA (b) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 95% of the experimental group will have a threshold of pain from mA to…
Cell Phone Radiation Listed below are the measured radiation absorption rates (in W/kg) corresponding to these cell phones: iPhone 5S, BlackBerry Z30, Sanyo Vero, Optimus V, Droid Razr, Nokia N97, Samsung Vibrant, Sony Z750a, Kyocera Kona, LG G2, and Virgin Mobile Supreme. The data are from the Federal Communications Commission (FCC). The media often report about the dangers of cell phone radiation as a cause of cancer. The FCC has a standard that a cell phone absorption rate must be 1.6 W/kg or less. If you are planning to purchase a cell phone, are any of the measures of center the most important statistic? Is there another statistic that is most relevant? If so, which one?

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