22, 18, 17, 8, 30, 13, 21, 17, 19, 19, 22, 26, 16, 18, 25 It is reasonable to treat these measurements as coming from a normal distribution with unknown mean μ and unknown standard deviation o a)Use the data to calculate an unbiased point estimate of the true mean, μ, of days until weak antibodies appear after complete vaccination. b)Use the data to find an unbiased point estimate of the population variance, a2 of days until weak antibodies appear after complete vaccination. c) Use the data to find the maximum likelihood estimate of the population variance, o2, of days until weak antibodies appear after complete vaccination.

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Weak pneumonia antibodies typically appear about 2 to 4 weeks after complete vaccination. A researcher took a random sample of 16 pneumonia patients and, for each of these,
determined the number of days after complete vaccination that weak antibodies appeared. The following are the number of days for each of the patients in our sample:
22, 18, 17, 8, 30, 13, 21, 17, 19, 19, 22, 26, 16, 18, 25
It is reasonable to treat these measurements as coming from a normal distribution with unknown mean μ and unknown standard deviation o
a)Use the data to calculate an unbiased point estimate of the true mean, μ, of days until weak antibodies appear after complete vaccination.
b)Use the data to find an unbiased point estimate of the population variance, o² of days until weak antibodies appear after complete vaccination.
c) Use the data to find the maximum likelihood estimate of the population variance, o2, of days until weak antibodies appear after complete vaccination.
d) Find the sample standard deviation of the above data
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.
Transcribed Image Text:Weak pneumonia antibodies typically appear about 2 to 4 weeks after complete vaccination. A researcher took a random sample of 16 pneumonia patients and, for each of these, determined the number of days after complete vaccination that weak antibodies appeared. The following are the number of days for each of the patients in our sample: 22, 18, 17, 8, 30, 13, 21, 17, 19, 19, 22, 26, 16, 18, 25 It is reasonable to treat these measurements as coming from a normal distribution with unknown mean μ and unknown standard deviation o a)Use the data to calculate an unbiased point estimate of the true mean, μ, of days until weak antibodies appear after complete vaccination. b)Use the data to find an unbiased point estimate of the population variance, o² of days until weak antibodies appear after complete vaccination. c) Use the data to find the maximum likelihood estimate of the population variance, o2, of days until weak antibodies appear after complete vaccination. d) Find the sample standard deviation of the above data 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.
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