Students at the college agricultural research station are st

Students at the college agricultural research station are studying egg production of free-range chickens compared with caged chickens. During a 1-week period, a random sample of n₁ = 93 free-range hens produced an average of  = 11.2 eggs per hen. For the same period, another random sample of n₂ = 87 caged hens produced a sample average of  = 8.5 eggs per hen. Previous studies show that  and  Does this indicate the population mean egg production for free-range hens is higher? Use a 5% level of significance

State the hypothesis

Compute the test value

Compute the P-value or find the critical value

Make a decision

Answer the question above

Solution

There are two samples.

Create hypotheses as

H0: mu1 = mu2

Ha: mu1 > mu2

Right tailed test for comparison of two sample means.

As std deviation is not given, unable to proceed further.