MATH1131 Assignment 1
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MATH1131 Assignment 1
Q1(8). Find two job listings for data science or statistics. The job listings do not need to be in Canada but must be written in English. Your submission must include the job title, company, job description, and job qualiications. Submit your job listings by taking screen shots(at least one screen shot must include the url). After you submitted your listings, answer the following questions:
1(2). List the statistical software skills required, combining all ads (e.g. Strong experience with Python or R).
2(2). List any speciic statistics skills required, again combining all ads (e.g. Visualize data. You have working knowledge of one more visualization tools: Tableau, Excel,Power BI etc. and have the ability to quickly learn new tools.).
3(4). Write at least 100 but no more than 200 words relating these skills to the material we have covered in this course, as well as the material we will cover. In terms of future material, you do not need to consider anything other than
(a) what has been discussed in lectures already, and
(b) the table of contents for our textbook.
Q2(10). In term of medical screen test terminologies.
1(2). Give a deinition for speciicity and sensitivity of a medical test (2-4 sentences).
2(4). Suppose your smart phone has facial recognition. What does speciicity and sensitivity mean in this context? (2-4 sentences)
3(4). Find a resource that gives the speciicity and sensitivity of Rapid Antigen Tests(RATs). Write 3-5 sentences explaining what these values mean with respect to public health policy. Submit a screen shot which includes these two numbers and the URL of your resource (if you ind a medical journal then the include the screen shot of the front page and the two numbers).
Q3(6). A woman brought a complaint of gender discrimination to an eight- member HR committee. The committee is composed of ive females and three males. The vote result is that the ive females voted “for” (in favor of the woman) and the three males voted “against”. Has the board been afected by gender bias? That is, if the members were not biased by gender and the vote result is ive “for” and three “against”, what is the probability that all ive females members voted “for” and all three males members voted “against”?
Does this support the board being afected by gender bias?
Q4(6). For people who ill the long income tax form with illegal deductions, every ive out of seven know it is illegal, and the remaining two out of seven did it incorrectly because they are unfamiliar with income tax regulations. Among those who illed illegal deductions and know it is illegal, 80% will deny knowl- edge of the error if confronted by an investigator. Among those who illed illegal deduction because of unfamiliarity, 100% will deny knowledge of the er- ror if confronted by an investigator. If the iler of the long form includes illegal deduction and the iler denies the knowledge of the error, what is the probability that the iler knows it is illegal?
Q5(6). I saw the following ad on the subway recently. Write at least 100 but no more than 200 words relating what you see in this ad to the ma- terial we have studied in this course regarding sampling and survey meth-ods. You will be graded on correctness, completeness, and quality of writing
Q6(9). Use R to complete the following. R code and R output is requested for solution. R markdown is recommended. Please keep you solution clear and easy to read. Unclear solution will not be graded. 0 for manual solution.
Given a data set below:
-2, -6, 0, 6, 0, 7, 7, 2, 1, 12, -2, 7, 5, 10, -4, 0, -3, 0, 6, 4, 2, 3, -3, 10, 4, 6, 6, 5, 3, 8, 0, -1, 2, 7, 0, 9, 2, 9, -3, 5, 0, 1, -2, -4, 6, 6, 1, 4, -1, -4, 10, 9, 7, -3, 7, -3, -2, 7, 0, 6, 19, 24.
1(3). Calculate sample mean, sample standard deviation, irst quartile, 3rd quartile, median.
2(2). Calculate the frequency (count) for the data. i.e. count for each unique values.
3(2). Use the data to do histogram plot, class boundaries: -6, -4, -2, ..., 20, 22, 24. i.e. class width is 2.
4(2). Use the data to do boxplot.
Q7(6). A computer is used to generate ten random integers, each between 0 and 9 (with replacement). Let X equal the number of even numbers among the ten numbers picked. That is, if the ten random integers turn out to be 1324555779, then X= 2.
1(2). Find the probability that exactly one out of the ten random numbers is even.
2(4). Find the probability that seven or fewer even numbers are picked among the ten random integers.
Q8(4). Read (or rather re-read) Section 7.7 of [UH-Mind on Statistics]. Write 100-200 words to comment on the following picture in light of the material in Section 7.7 (Lecture note 4.7). You will be graded on the quality of the writing and the appropriateness/relevance of your answer to the material of Section 7.7 (Lecture note 4.7).
2023-10-31