statistics HW, Advanced Statistics

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we are testing :
Ho: µ=40 versus Ha: µ>40 (a= 0.01) Suppose that the test statistic is z0=2.75 based on a sample size of n=25. Assume that data are normal with mean mu and standard deviation sigma=2.5.

What is the sample mean xbar?
1
A) 39.725
B) 41.375
C) 38.625
D) 40.275
2.
What is the rejection region?
A) z0>2.33
B) z0<2.33
C) z0>1.645
D) z0>1.96
3.
The P-value is P=0.0030.
A) There is NOT enough evidence at the 0.01 level that the true mean mu is above 40.
B) There is evidence at the 0.01 level that the true mean mu is above 40.

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