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In: Statistics and Probability

Complete the following problems using R. PLEASE SHOW ANSWER IN R FORMAT and be sure to...

Complete the following problems using R. PLEASE SHOW ANSWER IN R FORMAT

and be sure to turn in explanations and interpretations where appropriate.

2.A random sample of 15 values of PAR (photosynthetically active radiation) were taken at noon in a certain forest (in moles per meter2per second). Data are included in the assignment .xlsx file. Assume that PAR is approximately normally distributed with a known standard deviation of 40.71 moles/(m2s).

a.What is the mean value observed for PAR?

b.What is the standard error of the mean value of PAR, given this sampling scenario?

c.Find the 95% confidence intervals for the unknown population mean of the PAR values and interpret its meaning.  (Note: for full credit, you must write down a probability statement about the unknown population mean.)

d.Find the 90% confidence intervals for the unknown population mean of the PAR values and interpret its meaning.

e.Compare the two intervals.

f.Test the hypothesis that average PAR value is 550 moles/(m2s), at the =0.05 level. (Be sure to right down all steps – including hypotheses – as in the lecture notes, and interpret the meaning of the test!)

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orchestra answered 11 months ago
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