An agronomist examines the cellulose content of a variety of alfalfa hay. Suppos

Question

An agronomist examines the cellulose content of a variety of alfalfa hay. Suppose that the cellulose content in the population has standard deviation = 8 milligrams per gram (mg/g). A sample of 15 cuttings has mean cellulose content x = 144 mg/g.

(a) Give a 90% confidence interval for the mean cellulose content in the population. (Round your answers to two decimal places.)

Carry out a significance test to see if the new data support this belief. (Use = 0.05. Round your value for z to two decimal places and round your P-value to four decimal places.)

z =?

p-value =?

Explanation / Answer

here std error =std deviation/(n)1/2 =2.0656

for 90% CI, z=1.64485

a)hence confidence interval =mean +/- z*std error =140.6024 ; 147.3976

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