Question

	N		Mean	Std. Deviation	Std. Error Mean
AGE		25	35.6800	11.2979	2.2596

  
  

If we test H₀: μ ≥ 40, can we reject the null hypothesis? Compare the p-value from the output to the alpha level to make your decision.
(Hint: This is a one-tailed test; Use the two-tailed p-value (from the output) divided by 2 to get one-tailed p-value)

		Yes, at both the .01 and .05 levels.
		At the .01 level, but not at the .05 level.
		At the .05 level, but not at the .01 level.
		No, not at either the .01 or .05 level.

Answer 1

At the .05 level, but not at the .01 level.

n= 25,  = 40

= 35.6800 , s = 11.2979

null and alternative hypothesis is

Ho:    40

H1: < 40

formula for test statistics is

t = -1.912

test statistics: t = -1.912

now calculate P-Value for this one tailed test with df= n-1 = 25 - 1 = 24, using excel command we get p-value as,

P-Value = 0.0340

decision rule is,

Reject Ho if (P-Value) < (   )

hence,

null hpothesis rejected at 0.05 but not at 0.01

At the .05 level, but not at the .01 level.