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Home › Math Help › Stats final 3 hours long
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Stats final 3 hours long

Date Posted: 18/12/2020
Category: Math
Due Date: 19/12/2020
Instruction
similar to midterm, just longer
Bidders
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  • Hello, so tomorrow 9am, bin file?
    User_31090 | Dec 18, 2020, 22:28 PM
  • Hello. EST? Yea. That's fine
    aggrey | Dec 18, 2020, 22:37 PM
  • Hello, I am on Atlantic time, right now its 7:22PM for me, EST is 1 hour behind me. Thanks
    User_31090 | Dec 18, 2020, 23:24 PM
  • Hello, how are you today?
    User_31090 | Dec 19, 2020, 12:50 PM
  • Hey. I'm good. How soon is the test? Can I get the class login details?
    aggrey | Dec 19, 2020, 12:51 PM
  • it starts in 3 min https://app.crowdmark.com/sign-in/unb a3n62 Liv3Lov3(1967)
    User_31090 | Dec 19, 2020, 12:57 PM
  • its the 1st one on top stats 2264
    User_31090 | Dec 19, 2020, 12:58 PM
  • in case it didnt work https://filebin.net/i3bzuc5cd3moh7o2
    User_31090 | Dec 19, 2020, 13:03 PM
  • That link isn't working
    aggrey | Dec 19, 2020, 13:05 PM
  • does the file bin work?
    User_31090 | Dec 19, 2020, 13:05 PM
  • No. Just upload the file here
    aggrey | Dec 19, 2020, 13:08 PM
  • The questions
    aggrey | Dec 19, 2020, 13:08 PM
  • Q1 (10 points) In a behavioral study of the fruitfly Drosophila melanogaster, a biologist measured for individual flies, the total time spent preening during a six-minute observation period. The following are the preening times (in seconds) for 99 flies: 32 24 10 16 52 76 33 31 46
    User_31090 | Dec 19, 2020, 13:09 PM
  • (a) (2 pts) What are the lower and upper fences? Are there any outliers? (b) (2 pts) Construct a 95% confidence interval for the population mean. (c) (2 pts) Interpret the confidence level 95% through a hypothetical scenario in which a large number of samples, each of size 99, could be taken from the population. (d) (2 pts) What is the sample proportion of flies whose preening times exceed 4040 seconds? (e) (2 pts) Suppose that we are interested in pp, the true proportion of flies in the population whose preening times exceed 4040 seconds. How large should the sample size nn of another larger scale study be, such that the margin of error does not exceed 2% at the 95% level of confidence? (It is your option to use or not use the sample proportion in the previous part).
    User_31090 | Dec 19, 2020, 13:09 PM
  • Q2 (8 points) Following up the last question, assume now that the preening time (during a six-minute observation period) in the population follows a normal distribution with mean μ=30μ=30 seconds and standard deviation σ=16σ=16 seconds.
    User_31090 | Dec 19, 2020, 13:09 PM
  • (a) (2 pts) What is the probability that the preening time of a fly, randomly selected from the population, is between 2828 seconds and 3232 seconds? (b) (2 pts) If we take another sample of size n=16n=16, what is the probability that the average preening time of the sample is between 2828 seconds and 3232 seconds? (c) (2 pts) If we take another sample of size n=10n=10, what is the probability that at least 55 flies have a preening time longer than 3030 seconds? (d) (2 pts) If 1010 random samples are taken from this population, how many of them will yield a sample mean preening time longer than 3030 seconds?
    User_31090 | Dec 19, 2020, 13:10 PM
  • Q3 (6 points) A laboratory blood test is 99% effective in detecting a certain disease when it is, in fact, present. However, the test also yields a ''false positive'' result for 2% of healthy persons tested. Assume that 5% of the population actually has the disease.
    User_31090 | Dec 19, 2020, 13:10 PM
  • (a) (2 pts) If a person is randomly selected from this population, then what is the probability that this person tests positive? (b) (2 pts) What is the probability that this person does not have the disease given that the test result is positive? (c) (2 pts) For five random selected people from the population, what is the probability that all of them test negative?
    User_31090 | Dec 19, 2020, 13:10 PM
  • I meant you copy the question in a word document and upload here
    aggrey | Dec 19, 2020, 13:12 PM
  • Or print the page with the questions and upload as pdf
    aggrey | Dec 19, 2020, 13:12 PM
  • Q4 (6 points) Are wine drinkers being misled by bottle labels? The London Times (August 5, 2001) reported the results of a study that compared the actual alcohol content of wine to the alcohol content printed on the label. laboratory analysis was used to determine the alcohol content (percentage) of different brands and varieties selected at random from wines produced in 1999 and 2000. A representative subset (six bottles) of the resulting data is given in the following table: 1 2 3 4 5 6 Actual 14.2 14.5 14.0 14.9 13.6 12.6 Label 14.0 14.0 13.5 15.0 13.0 12.5
    User_31090 | Dec 19, 2020, 13:16 PM
  • actual and label are a crosstable labeled 1 to 6 Actual<-c(14.2, 14.5, 14.0, 14.9, 13.6, 12.6) Label<-c(14.0, 14.0, 13.5, 15.0, 13.0, 12.5) (a) (3 pts) What is the best test, paired tt-test, or two-sample pooled tt-test, or two-sample Welch's tt-test, to use for answering the question? (b) (3 pts) Carry out the appropriate test. State the null and alternative hypotheses, specify the test statistic value and/or the P-value and state your conclusion in the context. Use α=0.05α=0.05
    User_31090 | Dec 19, 2020, 13:17 PM
  • Q5 (6 points) Kuru is a prion disease of the Fore people of highland New Guinea. Using archived tissue samples, Mead et al. (2009) investigated genetic variants that might confer resistance to kuru. The date in the following table are genotypes at codon 129 of the prion protein gene of young and elderly individuals all having the disease.
    User_31090 | Dec 19, 2020, 13:18 PM
  • cross table Age MM MV VV Elderly 13 77 14 Young 22 12 14
    User_31090 | Dec 19, 2020, 13:19 PM
  • Can I login instead?
    aggrey | Dec 19, 2020, 13:20 PM
  • Elderly MM 13 MV 77 VV 14 Young MM 22 MV 12 VV 14
    User_31090 | Dec 19, 2020, 13:20 PM
  • (a) (3 pts) Test whether genotype frequencies differ between the two age groups. State clearly the null and alternative hypotheses, specify the P-value, and state your conclusion in the context. Use α=0.05α=0.05. (b) (1 pt) What are the degrees of freedom for the χ2χ2-test? (c) (2 pts) Construct a 90% confidence interval for the true proportion of genotype MM individuals among elderly patients.
    User_31090 | Dec 19, 2020, 13:20 PM
  • Q6 (7 points) Research was carried out to investigate the effect of storage time on the calcium content of wheat. Four different storage times were considered. The data are shown below.
    User_31090 | Dec 19, 2020, 13:21 PM
  • Storage time and observation 0 Month 58.75 57.94 58.91 56.85 55.21 57.30 1 month 58.87 56.43 56.51 57.67 59.75 58.48 2 month 59.13 60.38 58.01 59.95 59.51 60.34 3 month 62.32 58.76 60.03 59.36 59.61 61.95
    User_31090 | Dec 19, 2020, 13:24 PM
  • (a) ( 2pts) Calculate the missing values labeled (A), (B), (C) and (D) in the ANOVA table. (b) (2 pts) Based on the R output, what is the P-value of the FF test? State your conclusion of the test in the context of the research. Use α=0.01α=0.01. (c) (1 pt) In making your decision in the test, you may have made an error. Is it a type I or a type II error? (d) (2 pts) Identify the pair of means that are significantly different at α=0.05α=0.05.
    User_31090 | Dec 19, 2020, 13:24 PM
  • Q7 (8 points) You might think that increasing the nutrient resources available would elevate the number of plant species that an area could support, but the evidence suggests otherwise. The data in the acompanying table are from the Park Grass Experiment at Rothamsted Experimental Station in the U.K., where grassland field plots have been fertilized annually for the past 150 years (collated by Harpole and Tilman 2007). The number of plant species recorded in 10 plots is given in response to the number of different nutrient types added in the fertilizer treatment (nutrient types include nitrogen, phosphorus, potassium, and so on).
    User_31090 | Dec 19, 2020, 13:24 PM
  • table: Plot 1 -10 #nutrients added 0 0 0 1 2 3 1 3 4 4 #of plants species 36 36 32 34 33 30 20 23 21 16
    User_31090 | Dec 19, 2020, 13:26 PM
  • (a) (2 pts) Calculate a 90% confidence interval for the slope of the population regression. (b) (3 pts) Test the null hypothesis of no treatment effect on the number of plant species. Use α=0.05α=0.05. Write down the pair of hypotheses, specify the P-value and state your conclusion of the test. (c) (1 pt) What fraction of the variation in the number of plant species is ''explained'' by the number of nutrients added? (d) (2 pts) What is the correlation between the two variables?
    User_31090 | Dec 19, 2020, 13:26 PM
  • for Q 7 Residuals Min: -10.771 1Q: -1.856 Median: 1.068 3Q: 2.894 Max: 5.907
    User_31090 | Dec 19, 2020, 13:28 PM
  • for Q7 Coefficients: estimated std. error t value (intercept) 34.110 2.599 13.12 1.08e-06 number nutrients: -3.339 1.098 -3.04 0.0161
    User_31090 | Dec 19, 2020, 13:30 PM
  • for Q7 Residual standard error 5.336 on 8 degrees freedom multiple R-squared: 0.536. adjusted r-squared 0.478 f-statistic: 9.241 on 1 and 8 DF, p-value 0.01607
    User_31090 | Dec 19, 2020, 13:31 PM
  • thats it
    User_31090 | Dec 19, 2020, 13:31 PM
  • I have tried filebin again https://filebin.net/fb21glr93ivu3qkq
    User_31090 | Dec 19, 2020, 13:32 PM
  • sorry, it wont let me upload any more files
    User_31090 | Dec 19, 2020, 13:36 PM
  • ok I was able to upload the word file
    User_31090 | Dec 19, 2020, 13:37 PM
  • im sorry were you able to get either the file bin or the word doc?
    User_31090 | Dec 19, 2020, 13:38 PM
  • Yes. Everything is fine now
    aggrey | Dec 19, 2020, 13:40 PM
  • the table on Q4 was not showing properly in word and I had uploaded it separately as an image, I was able to have it show properly in word and have uploaded the word file again just in case.
    User_31090 | Dec 19, 2020, 14:18 PM
  • I've uploaded question 1-5. I'm doing the rest. Thanks
    aggrey | Dec 19, 2020, 15:34 PM
  • ok . thank you
    User_31090 | Dec 19, 2020, 15:44 PM
  • Done. Check second file. Thanks
    aggrey | Dec 19, 2020, 15:58 PM
  • awesome. I dont see the answer to Q6 d
    User_31090 | Dec 19, 2020, 16:01 PM
  • Check again. It's there
    aggrey | Dec 19, 2020, 16:04 PM
  • I sent a screen shot of what I see for Q6...im sorry im not seeing the answer for Q6d
    User_31090 | Dec 19, 2020, 16:08 PM
  • Hello I was wondering are you familiar with evolution?
    User_31090 | Feb 07, 2021, 22:10 PM
  • Yes
    aggrey | Feb 08, 2021, 02:06 AM
  • Great I have a short quiz to do Friday the 12th About 10 questions and it's usually multiple choice
    User_31090 | Feb 08, 2021, 02:17 AM
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