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School
University of Minnesota-Twin Cities**We aren't endorsed by this school
Course
STAT 3011
Subject
Economics
Date
Dec 17, 2024
Pages
1
Uploaded by UltraApeMaster1061
3. (4 points) (1) Calculate the standard error of sample mean using R outputs. (ii) Explain what it describes. Standard error of sample mean = s/\/n = 2.02/ \/(209) = (0.1397 This describes how much sample means vary from sample to sample if we re- peatedly select 209 University of Minnesota students randomly and calculate sample mean of time spent on social media. 2 point for correct value 2 points for reasonable explanation with ”sample mean varies from sample to sample” 4. (6 points) (i) From R output above, identify the correct t-multiplier value for a 95% confidence interval for p. (ii) Use it to construct a 95% confidence interval to estimate the population mean time spent on social media for U students. (iii) Interpret the result in context of the problem. t-multiplier value: qt(0.975, df=208)= 1.97 95% confidence interval T =+ to.025,df=208(5/ /1 = 3.3 + (1.97)(2/+/209) =i0.020.2%3 = (3027, 3:573) We are 95% confident that the population mean time spent on social media for the University of Minnesota students is between 3.027 and 3.573. OR If we select a random sample of 209 students and construct a 95% confidence interval for ;. repeatedly, then 95% of these intervals would contain the true population mean time spent on social media.
