Activity 2
Find the rejection region for each hypothesis test based on the information given.
1 H₂ μ = 121
Hah > 121 Η μ=986
2. Ho:μ=986 Ị Hai =27
HaiH <27
a= 0.01
a= 0.05 a= 0.05
n=34
known unknown
n=25 n=12
a known
1.
"H_0: \\mu=121"
"H_a:\\mu>121"
"\\sigma" known, "n=34, \\alpha=0.01"
This corresponds to a right-tailed test, for which a z-test for one mean, with known population standard deviation will be used.
2.
"H_0: \\mu=986"
"H_a:\\mu\\not=986"
"\\sigma" unknown, "n=25, \\alpha=0.5"
This corresponds to a two-tailed test, for which a t-test for one mean, with unknown population standard deviation, using the sample standard deviation, will be used.
"df=n-1=24" degrees of freedom
3.
"H_0: \\mu=27"
"H_a:\\mu<27"
"\\sigma" known, "n=12, \\alpha=0.05"
This corresponds to a left-tailed test, for which a z-test for one mean, with known population standard deviation will be used.
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