Question 7.25

7.25 Significance test for the average number of seeds.

Refer to the previous two exercises.

seedcnt

  1. Do these data provide evidence that the average number of seeds in a one-pound scoop is greater than 1550? Using a significance level of 5%, state your hypotheses, the -value, and your conclusion.
  2. Do these data provide evidence that the average number of seeds in a one-pound scoop is greater than 1560? Using a significance level of 5%, state your hypotheses, the -value, and your conclusion.
  3. Explain the relationship between your conclusions to parts (a) and (b) and the 90% confidence interval calculated in the previous exercise.

7.25

(a) 0.025 < P-value < 0.05. The data are significant at the 5% level, and there is evidence that the average number of seeds in a 1-pound scoop is greater than 1550. (b) , 0.10 < P-value < 0.15. The data are not significant at the 5% level, and there is not enough evidence that the average number of seeds in a 1-pound scoop is greater than 1,560. (c) Because 1550 is outside the 90% confidence interval, the one-sided significance test rejects the null hypothesis of 1550 but because 1560 is inside the 90% confidence interval, the one-sided significance tests fails to reject a null hypothesis of 1560.