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  3. complete the following problems using r. please sh

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

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Statistics

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

and be sure to turn in explanations andinterpretations where appropriate.

2.A random sample of 15 values of PAR (photosynthetically activeradiation) were taken at noon in a certain forest (in moles permeter2per second). Data are included in the assignment.xlsx file. Assume that PAR is approximately normally distributedwith a known standard deviation of 40.71moles/(m2s).

a.What is the mean value observed for PAR?

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

c.Find the 95% confidence intervals for the unknown populationmean of the PAR values and interpret itsmeaning.  (Note: for full credit, you must writedown a probability statement about the unknown populationmean.)

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

e.Compare the two intervals.

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

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