Question

In order to test HO: µ0 = 40 versus H1: µ ≠ 40, a random sample of size n = 25 is obtained from a normal population with a known σ = 6. My x-BAR mean is 42.3 from my sample. Using a TI 83/84 calculator, calculate my P-value with the appropriate Hypothesis Test. Use a critical level α = 0.01 and decide to Accept or Reject HO with the valid reason for the decision.

A. My P-value greater than α Alpha, so I Reject Null Hypothesis

B. My P-value greater than α Alpha, so I Accept Null Hypothesis

C. My P-value less than α Alpha, so I Accept Null Hypothesis

D. My P-value less than α Alpha, so I Reject Null Hypothesis

Answer 1

The statistical software output for this problem is :

One sample Z summary hypothesis test: u: Mean of population Hou = 40 HA 40 Standard deviation = 6 Hypothesis test results: Mean n Sample Mean Std. Err. Z-Stat P-value 25 42.3 1.2 1.9166667 0.0553

B. My P-value greater than α Alpha, so I Accept Null Hypothesis