You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears ofcorn. You gather the following data:Mass(g) of ears of corn13.4 14.1 15.015.4 15.418.0 18.3 18.7 19.1 20.315.4 15.5 16.3 16.6 16.720.7 22.2 23.4 23.9 34.4Some of the masses in the sample seem much larger than the rest. You decide to make several calculationsdescribing the "spread" of the data set. You hope to use them to help in the search for outliers.Here are your summary Statistics:Mean St. Dev.MaxMin Q1 Med Q૩13.4 15.4 17.35 20.4 34.418.64.79Find the following: ROUND ALL ANSWERS TO THE TENTHS PLACE (1 DECIMAL)1. Apply the 1.5 IQR rule to search for outliers. Report the lower and upper cuttoffs.a. IQR =b. Lower Fence=c. Upper Fence =d. Are there any outliers by the 1.5 IQR rule? (Enter "yes" or "no")1. Apply the 2-standard deviation rule to search for outliers. Report the lower and upper cuttoffs.a. Lower Fence =b. Upper Fence =c. Are there any outliers by the 2-standard deviation rule? (Enter "yes" or "no")

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Answered: You work for a large farm with many…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. In many animal species the males and females differ slightly in structure, coloring, and/orsize. The hominidspecies Australopithecus is thought to have lived about 3.2 million years ago. (“Lucy,” the famous nearcompleteskeleton discovered in 1974, is an Australopithecus .) Forensic anthropologists use partial skeletalremains to estimate the mass of an individual. The data below are estimates of masses from partial skeletalremains of this species found in sub-Saharan Africa. Appropriate graphical displays of the data indicate thatit is reasonable to assume that the population distributions of mass are approximately normal for bothmales and females. You may also assume that these samples are representative of the respectivepopulations.Estimates of mass (kg)Males 51.0, 45.4, 45.6, 50.1, 41.3, 42.6, 40.2, 48.2, 38.4, 45.4, 40.7, 37.9, 41.3, 31.5Females 27.1, 33.5, 28.0, 30.3, 32.7, 32.5, 34.2, 30.5, 27.5, 23.3,35.7Do these data provide convincing evidence that the mean estimated masses…
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Find following: IQR?
You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of corn. You gather the following data: Mass(g) of ears of corn 12.8 12.9 13.0 13.5 13.9 14.4 14.6 15.1 15.3 15.8 15.9 16.7 16.7 16.9 17.1 17.4 18.7 21.2 21.9 41.6 Some of the masses in the sample seem much larger than the rest. You decide to make several calculations describing the "spread" of the data set. You hope to use them to help in the search for outliers. Here are your summary Statistics: Mean St. Dev. Min Q1 Med Q3 Max 17.3 6.25 12.8 14.275 15.85 17.175 41.6 Find the following: Apply the 1.5 IQR rule to search for outliers. Report the lower and upper cuttoffs. IQR = Lower = Upper = Are there any outliers by the 1.5 IQR rule? (Enter "yes" or "no") Apply the 2-standard deviation rule to search for outliers. Report the lower and upper cuttoffs. Lower = Upper = Are there any outliers by the 2-standard deviation rule? (Enter "yes" or "no")
The mass of a whiffle ball varies, usually between 40 and 50 grams. You decide to gather a random sample of whiffle balls and record the mass of each. Your data is displayed below. (Units are grams.)44.9, 43, 48.2, 44.7, 42.5, 44.6, 44.8, 45.8, 42.9, 44.9, 46.7, 45.7, 38.2, 45.2, 42.2, 46 Checksum: 710.3You would like to describe a "typical" whiffle ball from your data set. You decide to make several calculations describing the "center" of the data set.Find the following:
Researchers wondered whether the size of a person's brain was related to the individual's mental capacity. They selected a sample of 5 females and 5 males and measured their MRI image pixel counts and IQ scores. Females Males MRI IQ MRI IG The data is reported to the right. Complete parts (a) through (d) below 139 858,472 140 955,003 935,494 924,059 1.079.550 1,001.121 Click the icon to view the critical values table. 991,305 138 141 857,782 833,868 790,619 133 135 132 141 135 140 AMRI 1,080,000- AIO 145 AIO 145- AMRI 1,080,000 780,000 130 130 780,000 130 780,000 780,000 130 1,080,000 145 1,080,000 MRI 145 MRI (b) Compute the linear correlation coefficient between MRI count and IQ. Are MRI count and IQ linearly related? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. Yes, MRI count and IQ are linearly related since the linear correlation coefficient is O B. No. MRI count and IQ are not…
The following are the weight (in grams) and quantity of volatile emissions (in hundreds of nanograms) for plants. A scatterplot of the data is given to the right. Weight (x) 57 87 56 63 54 66 63 79 77 52 Quantity (y) 9.0 21.5 10.0 22.5 12.5 11.5 7.5 13.5 16.5 22.0 30- Y 6 9 20+ 10- 0+ 40 60 80 100 a. Obtain the linear correlation coefficient. b. Interpret the value of r in terms of the linear relationship between the two variables. c. Discuss the graphical interpretation of the value of r. d. Obtain the value of the coefficient of determination by squaring r. Q
15. Diameter of Douglas Fir Trees The diameter of the Douglas fir tree is measured at a height of 1.37 meters. The S following data represent the diameter in centimeters of a random sample of 12 Douglas firs in the western Washington Cascades. 156 162 147 173 147 190 130 101 159 113 181 109 Source: L. Winter. "Live Tree and Tree-Ring Records to Reconstruct the Structural Development of an Old-Growth Douglas Fir/Western Hemlock Stand in the Western Washington Cascades." Corvallis, OR: Forest Science Data Bank, 2005. (a) Obtain a point estimate for the mean and standard deviation diameter of a Douglas fir tree in the western Washington Cascades. (b) Because the sample size is small, we must verify that the data come from a population that is normally distributed and that the data do not contain any outliers. The figures show the normal probability plot and boxplot. The correlation between the tree diameters and expected z-scores is 0.982. Use Option 1 or Option 2 to determine if the…
Full data set O Uncarpeted 13.2 A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms. Carpeted 10.7 14.3 11 6.7 12.8 10 8.4 12.2 9.2 11.1 6.7 11.3 14.1 13.6 8.9 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the g = 0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms. A. Ho: H1 = H2 H1: 41> H2 O B. Ho: H1 = H2 O C. Ho: H1 = H2 H1: H1 H2 Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.)
Subject : Statestic
Pulling Apart Wood. How heavy a load (in pounds) is 4step needed to pull apart pieces of Douglas fir 4 inches long and 1.5 inches square? Here are data from students doing a laboratory exercise: 33,190 31,860 32,590 26,520 33,280 32,320 33,020 32,030 30,460 32,700 23,040 30,930 32,720 33,650 32.340 24,050 30,170 31,300 28,730 31,920 We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that characteristics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution, with standard deviation 3000 pounds. Is there statistically significant evidence at thea = 0.10 level against the hypothesis that the meanis 32,500 pounds for the two-sided alternative? Is there statistically significant evidence at thea = 0.10 level against the hypothesis that the meanis 31,500 pounds for the two-sided alternative?
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