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W6: Weekly quiz

统计quiz代考 Quiz Instructions This quiz will cover the asynchronous content from the Week 6 module. It is due BEFORE our synchronous class.

Quiz Instructions

This quiz will cover the asynchronous content from the Week 6 module. It is due BEFORE our synchronous class.

Notes

There are images in this quiz. Safari has issues displaying Quercus quiz images. Please use Chrome or Firefox.

Keep a record of your answers as if you are granted another attempt it will not save your answers AND the order will chance (i.e. don’t just write A or B, that will change).

This quiz is open book, so you are welcome to review the notes while completing it.

From the time you start, you will have either 1 hour to complete the quiz or until 4:59 p.m. on Monday, whichever comes first. You cannot pause the quiz once you start it.

The quiz will auto-submit any answers at the deadline.

You have one attempt.

You do not have to use RStudio while doing this quiz, but you are allowed to if you would like to.

Important quiz specificinformation [DOWNLOAD SUPPLEMENTAL PDF ] 统计quiz代考

This quiz has questions about the data in the starwars data set included with the dplyr package. For the purposes of this quiz, assume it is a representative sample of all characters seen in Episodes 1 to 9. This week’s quiz uses the updated version of this data (i.e. not the same as last week) and so running this code should give you the same results as what I get. That said you do not have to use RStudio while doing this quiz, but you are allowed to if you would like to.

You can download and few the PDF that accompanies this quiz before starting. Make sure you have it open, either in another window or on another device to refer to. This quiz also has some other ‘types’ of multi choice questions, including a ‘tick all that apply’ and a true/false, so make sure you read the instructions for each question carefully.

Goal of this analysis: I want to know a plausible range of values for the mean height of human men (gender: masculine) in Star Wars Episodes 1 to 9.

w6_quiz_code.pdf

Question 1 统计quiz代考

How might we expect the histogram shown in the analysis pdf (page 3 of w6_quiz_code.pdf) to change if we had had a smaller sample of the human man characters in Episodes 1 to 9? 1 pts

• We expect that the mean should be roughly the same, but that it would be moresymmetrical and less spread out.
• We expect that the mean should be roughly the same, but that it would be less symmetrical and more spread out.
• We expect that the mean, skew, and spread should all increase.
• We expect that the mean, skew, and spread should all decrease.

Question 2

Which of the intervals below is a 95% bootstrap confidence interval for the mean height of human male Star Wars characters. 1 pts

• (178.6, 186.3)
• (179.1, 185.7)
• (179.7, 185.2)
• (178.2, 186.7)

Question 3 统计quiz代考

Which of the statements below is a correct interpretation of the bootstrap confidence interval (181.0, 183.8)? 1 pts

• We expect 60% of human men in Episodes 1 to 9 to be between 181.0 and 183.8 cm tall.
• We would expect about 60% of intervals constructed in this manner to contain the truemean height of human men in Episodes 1 to 9.
• We are 60% certain that each human men in Episodes 1 to 9 are between 181.0 and 183.8 cm tall.
• More than one of these statements.
• We are 60% confident that the true mean height of human men in Episodes 1 to 9 is between 181.0 and 183.8 cm.

Question 4

Which of the following statements about the code below is correct? 1 pts

• The results are the same because we haven’t used set.seed().
• The results are the same because the mean of bootstrap sampling distribution is the mean height from our sample.
• The results are the same because setting replace=FALSEmeans have sampled exactly the same observations as in the original sample.
• The results are the same just by chance.

The following questions are general, i.e. not about the Star Wars analysis particularly.

Question 5

Which of the following statements is/are TRUE? Please tick all that apply. (I.e. this question can have multiple answers). 1 pts

Note: for full credit on this question, you must select ALL the correct statements (one or more) and NONE of the incorrect statements. Each incorrectly selected (or missed) tick mark will lead to a partial deduction of points.

• Every random sample drawn from the population will yield the same values for statistics.
• In general, we know the true value of parameters.
• If you have relevant data for every single individual in a population, you can calculate the true value of parameters.
• A statistic is calculated from observed data and is an estimate of the parameter.

Question 6 统计quiz代考

Bootstrapping is re-sampling with replacement from the original sample and so a bootstrap confidence interval can only be found for a mean. 1 pts

• True
• False

Question 7

Consider 1000 samples of size 10 being taken from a population. Now imagine the variability in these 1000 sample means.

Consider 1000 samples of size 50 being taken from the same population. Now imagine the variability in these 1000 sample means.

Which group of sample means will show less variability? 1 pts

• Those from samples of size 50.
• Impossible to say without estimating the sampling distributions.
• Neither, the variability will be very similar.
• Those from samples of size 10

Question 8 统计quiz代考

Suppose we want to estimate a range of plausible values for the proportion of left-handed students at UofT, based on a sample of students in STA130 (we are assuming that our sample of STA130 students is a representative sample of all students at UofT – while it is true that our sample only includes first year students, there is no reason to believe that handedness is associated with year of study, so this is plausible.) Which of the following statements is TRUE? 1 pts

• If we use simulation to construct a bootstrap sampling distribution for the proportion ofleft-handed students at UofT based on our sample, the mean of this bootstrap sampling distribution will be exactly equal to the true proportion of left-handed students at UofT.
• If we use simulation to construct a bootstrap sampling distribution for the proportion of left-handed students at UofT based on our sample, the mean of this bootstrap sampling distribution will get closer and closer to the observed proportion of left-handed students in our sample as the number of bootstrap samples increases (it might not be exactly equal because of sampling variability).
• If we use simulation to construct a bootstrap sampling distribution for the proportion of left-handed students at UofT based on our sample, the mean of this bootstrap sampling distribution will be exactly equal to the observed proportion of left-handed students in our sample.
• If we use simulation to construct a bootstrap sampling distribution for the proportion of left-handed students at UofT based on our sample, the mean of this bootstrap sampling distribution will get closer and closer to the true proportion of left-handed students at UofT as the number of bootstrap samples increases (it might not be exactly equal because of sampling variability).

Question 9 统计quiz代考

Which one of the following statements about using bootstrapping to estimate a population mean is false? 1 pts

• A bootstrap confidence interval contains the plausible values for the population mean, based on the original sample.
• The bootstrap sampling distribution plot shows the means of a large number ofre-samples taken with replacement from the original sample.
• A bootstrap confidence interval takes account of the fact that all estimates are uncertain.
• The bootstrap sampling distribution plot shows the means of a large number of samples taken with replacement, under the assumption that the null hypothesis is true..

Question 10

A parameter is a numerical characteristic of a population or distribution and an estimate can be calculated from sample data. 1 pts

• True
• False

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