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Round to 3 decimal points please and can you verify the first couple of questions are correct? Strong Covid-19 antibodies typically appear about 2 to

Round to 3 decimal points please and can you verify the first couple of questions are correct?

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Strong Covid-19 antibodies typically appear about 2 to 4 weeks after complete vaccination. A researcher took a random sample of 16 Covid-19 patients and, for each of these, determined the number of days after complete vaccination that antibodies appeared. The following are the number of days for each of the patients in our sample: 22, 18, 17, 4, 30, 13, 22, 21, 17, 19, 18, 22, 26, 14, 18, 25 It is reasonable to treat these measurements as coming from a normal distribution with unknown mean u and unknown standard deviation o a)Use the data to calculate an unbiased point estimate of the true mean, , of days until antibodies appear after complete vaccination. 19.125 b) Use the data to find an unbiased point estimate of the population variance, o2 of days until antibodies appear after complete vaccination. 35.583 c) Use the data to find the maximum likelihood estimate of the population variance, o2 , of days until antibodies appear after complete vaccination. 33.359 d) Find the sample standard deviation of the above data 5.965 e) Find the sample median of the above data. f)Create a 94% confidence interval for u. ( g) What critical value did you use to calculate the 94% confidence interval in part f)? h)Create a 94% prediction interval for u . ( i) Copy your R script for the above into the text box here

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