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Iowa State University *

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587

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Statistics

Date

Feb 20, 2024

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docx

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3

Uploaded by BarristerWillpowerPrairieDog41

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Question No. 1: a) The study is observational as a survey was given to specific populations and the responses were divided into 2 groups as per their eating habits in the survey. No interference with the sample was observed. b) The study concluded that consumption of organically grown food reduces the risk of cancer. This study has overlooked many points such as gender, genetics/family cancer history, age groups, type of cancer, health condition/medications, and drinking and smoking habits of the sample units. These all factors can influence the cancer risk and can influence the results of the study. Therefore, this conclusion is not very strong. The first group may have younger people, no cancer history in the family, little drinking habits, nonsmokers, male people, etc. Also, a cause-and-effect relationship can not be drawn from an observational study and this study is an observational study. Question No. 2: a) n= 100; mean= 2.2; standard deviation= σ = 0.3 Approximate distribution of the sample mean = σ / n =0.3/ 100 = 0.3/10 =0.03 If the company claim is true then the approximate distribution of the sample mean using the Central limit theorem will be 0.03 mg. b) σ = 3.1 n=100 The probability that the sample mean would have been as high or higher than 3.1 can be calculated through Z table value or it can also be calculated through SAS. prob2= 0.0013499 There is a very low probability of having a sample mean as high or higher than 3.1. SAS Code: /* Plot the Distribution of Normal random variable*/ data normpdf; do x = - 4 to 6 by 0.01 ; pdfnorm = pdf( 'NORMAL' ,x, 2.2 , 0.3 ); output ; end ; run ; proc gplot data =normpdf;
plot pdfnorm*x; run ; /*Find probabilities of certain intervals from Normal distribution*/ proc iml ; /* Interactive Matrix Language (IML) for computation*/ /*To find probability that a normal r.v. with mean 2.2 and standard deviation 0.3 is no greater than 3.1*/ prob1 = cdf( 'normal' , 3.1 , 2.2 , 0.3 ); /*To find probability that a normal r.v. with mean 2.2 and standard deviation 0.3 is greater than 3.1*/ prob2 = 1 -cdf( 'normal' , 3.1 , 2.2 , 0.3 ); print prob1,prob2; quit ; Question No. 3: Paper 1: Author : Lago-Alvarez et al., 2020 Date : Nov 25, 2020 Citation : Lago-Alvarez Y, Podico G, Segabinazzi LG, Cunha LL, Barbosa L, Arnold CE, Lima FS, King LT, McLean AK, Canisso IF. Donkey Epididymal Transport for Semen Cooling and Freezing. Animals. 2020; 10(12):2209. https://doi.org/10.3390/ani10122209 Description of the study Effect of epididymal transportation conditions on semen quality parameters. a) Categorize according to Display 1.5.
This is an experimental study. In this study, the selection of units was not random but the allocation of units in Experiments 2 and 3 was random, thus, causal inference can be made for the experiments. b) Now read the conclusions sections. Determine whether inferential statements are limited to or go beyond the scope allowed in Display 1.5. Conclusion: Inferential statements; In conclusion, they talk about the effect of sample shipping on the semen parameters. This lies under the scope allowed in Display 1.5. They also talk about its effect on fertility, which was not studied in the experiment so the inferences about fertility lie beyond the scope. Paper 2: Author : Yang et al., 2020 Date : April 17, 2020 Citation : Yang, S. X., Adams, G. P., Palomino, J. M., Huanca, W. F., Lessard, C., Rajapaksha, K., & Anzar, M. (2020). Cryopreservation of bison semen without exogenous protein in extender and its fertility potential in vitro and in vivo following fixed-time artificial insemination. Theriogenology, 152, 156-164. Description of the study Effect of pretreatment of bison semen with CC and its dilution with Tris-glycerol on post- thaw semen quality parameters and in vitro as well as in vivo fertility. a) This is an experimental study. In the first part of the study, Semen extension with extender, the units were not allotted randomly. But, in the second part of the study, in vitro and in vivo fertility experiments, the units were allotted randomly. Therefore, causal inferences about in vitro and in vivo fertility can be made. b) The inference about the effects of pretreatment and dilution of semen on semen quality are beyond the scope of Display 1.5. However, the inference about the effects on In vivo and in vitro fertility lies in the scope of Display 1.5.
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