BETC课业

Guangdong University of EducationBTEC CenterProgram: HND in Applied BiologyUnit Title: Statistics for Experimental DesignUnit No: 24Assignment Title: Describe eucalyptus heightcharacteristics expected to be selled Assignment No.: 2401Issue Date: Mar. 05, 2014Submission Deadline: May 10, 2014Assessor/Tutor: Guijuan GaoInternal Verifier: Yijie TangStudent: Xiabei DengStudent’s Reg. No: G983709NOTES TO STUDENTS●Check carefully the submission date and the instructions given with theassignment. Late assignments will not be accepted.●Ensure that you give yourself enough time to complete the assignment by the duedate.●Do not leave things such as printing to the last minute – excuses of this naturewill not be accepted for failure to hand-in the work on time.●You must take responsibility for managing your own time effectively.●If you are unable to hand in your assignment on time and have valid reasons suchas illness, you may apply (in writing) for an extension.●Failure to achieve a PASS grade will results in a REFERRAL grade being given.●Take great care that if you use other people’s work or ideas in your assignment,you properly reference them in your text and any bibliography.●When you refer to the work of other authors in your assignment, you mustpractice citation by following Harvard System for Referencing.●If you are caught plagiarizing, you could have your grade reduced to zero, orat worst, you could be excluded from the course.STUDENT’S DECLARATION:I confirm that this is all my own work.Student Signature: Xiabei DengASSESSMENTAssignment DescriptionScenario:You work as a salesman in a landscape company to take charge the sales and marketing. Now,your director prepares to sell a flock of eucalyptus, but he can’t sure the best sale time to gain the maximum benefit. Your task is to determine the best sale time to ensure the biggest economic benefits. According to statistic results, if the height of eucalyptus is lower than 13m, the eucalyptus is in the rapid growth stage, i.e. your company can’t sell the goats because of the lower profit. Otherwise, the planting cost would be higher if the eucalyptus height is more than 14m. You should apply sample data analysis and P-distribution calculation to assess the percent of height between 13m and 14m. If the proportion is more than 80%, the eucalyptus could be sold. According to your analysis results, you must give reasonable suggestions for your company about the sale. You should finish four criteria of P1.1, P1.2, P1.3 and P4.3 related to syllabus. Tasks:Part 1(Criterion 1.1)① Give an oral expression in the class for some meanings: sum of squares, standard difference,variable, repetition, deviation and sample variance.I will divide into 12 groups with five person to answer my questions in the class.②Design two groups of experimental data, one is discrete variables, and another is continuous variables. Data should be tabulated in table 3.Table: continuous variablesDate Temperature （℃）12-Mar 15℃13-Mar 19℃14-Mar 19℃15-Mar 24℃16-Mar 25℃17-Mar 26℃Table: discrete variablesVC content of lemon(mg/g)27mg/g26.9mg/g27mg/g27.1mg/g27.12mg/g(Criterion 1.2)①Explain the population and the finite population.Population:According to the research objective to determine the object of study of all called population.Finite population:Contained in statistics in the concept of population, refers to the number of units is limited, referred to as a finite population.②Conduct population sampling based on 1000 data in table 1 and get a random sample data more than 100.According to 1000 data in table 1, I choose 148 data, as following:3.44 3.31 3.73 3.28 3.18 3.24 3.91 2.88 3.27 3.42 2.96 3.55 3.07 2.98 3.343.30 3.10 2.64 2.90 3.35 2.84 3.33 3.10 3.45 3.35 3.38 3.41 3.53 3.22 3.542.843.80 3.40 3.76 3.34 3.29 3.31 3.41 3.58 3.54 2.25 2.49 3.24 2.49 3.513.26 2.85 3.45 3.54 3.36 2.944.09 3.51 3.18 3.16 3.38 3.34 2.93 3.47 4.102.82 2.713.17 3.03 3.07 2.63 3.29 3.23 3.42 3.48 2.87 3.46 3.28 2.44 3.443.63 3.20 2.55 2.56 3.27 3.52 2.91 3.56 3.44 2.724.13 3.31 3.65 3.70 3.483.06 3.48 3.13 3.14 3.26 3.29 3.11 2.60 2.86 3.144.00 3.29 3.53 3.33 3.443.89 3.15 3.50 3.24 2.80 3.22 3.31 3.27 3.40 3.43 3.53 2.92 3.38 3.71 3.172.943.90 3.25 3.49 3.38 3.00 2.95 3.52 3.19 3.06 3.20 2.93 2.83 3.153.06 2.87 3.32 3.40 3.56 3.02 3.42 3.86 3.35 2.89 3.30 3.29 3.24 2.70Categories Number/f Frequency/p2.25~2.55 4 0.0270270272.55~2.85 13 0.0878378382.85~3.15 30 0.2027027033.15~3.45 62 0.4189189193.45~3.75 29 0.1959459463.75~4.05 7 0.0472972974.05~4.35 3 0.02027027③Calculate the error and C.VNotes: You should explain these in your assignment and the data number should be 100+your student number. You must tabulate the sample data in table 4. Moreover, calculate the value of standard deviation and the coefficient of variation for your designed data in table 4.C.V=(s/x)×100%s (S.D)=(Criterion 1.3)①Understanding some meanings: probability, P-distribution and normal P-distribution.◆ProbabilityThe possibility of probability is of random measurement, general with a real number between 0 and 1 said the possibility of a size.◆P-distributionP-distribution is one of the basic concepts of probability theory to describe the probability rule of random variable values. According to different types of random variables belong, P-distribution in different forms.◆normal P-distribution②Draw a reasonable probability distribution figure and tabulate a frequency distribution table based on your data sample.③Calculate probabilities using standard normal distributions method based on your data sample. Notes: I will select some students randomly to explain these meanings. At the same time, to test if your sampling data obey standard normal distributions [u~N(0, 1)] and to calculate probabilities [Φ(u)] using standard normal distributions table to estimate the height percent between 2.8cm to 3.4cm. 植株(Criterion 4.3)①Calculate the S.E, range value, M o and M d value based on your sample data.3.44 3.31 3.73 3.28 3.18 3.24 3.91 2.88 3.27 3.42 2.96 3.55 3.07 2.98 3.343.30 3.10 2.64 2.90 3.35 2.84 3.33 3.10 3.45 3.35 3.38 3.41 3.53 3.22 3.542.843.80 3.40 3.76 3.34 3.29 3.31 3.41 3.58 3.54 2.25 2.49 3.24 2.49 3.513.26 2.85 3.45 3.54 3.36 2.944.09 3.51 3.18 3.16 3.38 3.34 2.93 3.47 4.102.82 2.713.17 3.03 3.07 2.63 3.29 3.23 3.42 3.48 2.87 3.46 3.28 2.44 3.443.63 3.20 2.55 2.56 3.27 3.52 2.91 3.56 3.44 2.724.13 3.31 3.65 3.70 3.483.06 3.48 3.13 3.14 3.26 3.29 3.11 2.60 2.86 3.144.00 3.29 3.53 3.33 3.443.89 3.15 3.50 3.24 2.80 3.22 3.31 3.27 3.40 3.43 3.53 2.92 3.38 3.71 3.172.943.90 3.25 3.49 3.38 3.00 2.95 3.52 3.19 3.06 3.20 2.93 2.83 3.153.06 2.87 3.32 3.40 3.56 3.02 3.42 3.86 3.35 2.89 3.30 3.29 3.24 2.70 According to sample data, we can observe4.13 is max and 2.25 is min. Next step,we can calculate the SE, range value, and list Mo and Md value, result as following :SE=S·D/R=Max-Min=4.13-2.25=1.88②You can assess and compare the accuracy and precision based on the data shown in table 2.Table 2 data for analysis of accuracy 准确度and precision精确度Part 2 The evaluating reports could be finished according to the following two modes:1) Title2) Name, address3) Results and discussions4) Conclusion5) Referencesor1) Title2) Name, address3) Results4) Discussions and conclusion。