Question

4) The time (in number of days) until maturity of a certain variety of hot pepper is Normally distributed, with mean μ and standard deviation σ = 2.4. This variety is advertised as taking 70 days to mature. I wish to test the hypotheses H0: μ = 70, H1: μ ≠ 70, so I select a simple random sample of four plants of this variety and measure the time until maturity. The four times, in days, are 70 72 79 67 Based on these data A) I would reject H0 at level 0.10 but not at level 0.05. B) I would reject H0 at level 0.05 but not at level 0.025. C) I would reject H0 at level 0.01. D) None of the above

Answer 1

Since P-value = 0.0956

i.e 0.05 < P-value < 0.10, so  

ans-> A) I would reject H0 at level 0.10 but not at level 0.05.