PSC 103A City College of San Francisco R Coding Statistics Questions Conceptual questions 1. With a normal population distribution and a constant sample s

PSC 103A City College of San Francisco R Coding Statistics Questions Conceptual questions

1. With a normal population distribution and a constant sample size of N = 2, what shape will the sampling distribution of 1000 sample approximate? (1 points)

2. How would you interpret the 99% confidence interval of [5.43,7.83] around a sample mean of 6.44? (2 point)

3. For both of the following density histograms below, compute the approximate area of the shaded region (you may complete your work by hand and include a picture with your answer, if you prefer). (2 point)

Computing Questions

Please use R/RStudio to complete the following questions. Include the code you used to generate your answer for each question.

1. Randomly sample 1000 values from both a (a) normal distribution and (b) uniform distribution. Then, check the normality for each. (2 point)

2. Find the mean and 93% and 96% confidence intervals for the normally distributed sample you collected in question 1. (2 points)

a. Do they change when assuming a t-distribution (t-critical)? (2 points) PSC103A
2020 Winter Quarter
1
Lab Assignment 4
Please submit your completed assignment as a .doc, .docx, or .pdf file to Canvas on the assigned
due date. Late assignments will not be accepted.
Please type your responses to the questions below. You should expand the answer field as
appropriate to fully answer the question.
Conceptual questions
1. With a normal population distribution and a constant sample size of N = 2, what shape
will the sampling distribution of 1000 sample approximate? (1 points)
2. How would you interpret the 99% confidence interval of [5.43,7.83] around a sample
mean of 6.44? (2 point)
3. For both of the following density histograms below, compute the approximate area of the
shaded region (you may complete your work by hand and include a picture with your
answer, if you prefer). (2 point)
a.
b.
PSC103A
2020 Winter Quarter
1
Computing Questions
Please use R/RStudio to complete the following questions. Include the code you used to generate
your answer for each question.
1. Randomly sample 1000 values from both a (a) normal distribution and (b) uniform
distribution. Then, check the normality for each. (2 point)
2. Find the mean and 93% and 96% confidence intervals for the normally distributed sample
you collected in question 1. (2 points)
a. Do they change when assuming a t-distribution (t-critical)? (2 points)

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