In: Statistics and Probability
The average weight of a package of rolled oats is supposed to be at least 18 ounces. A sample of 18 packages shows a mean of 17.78 ounces with a standard deviation of 0.41 ounce. (a) At the 5 percent level of significance, is the true mean smaller than the specification? Clearly state your hypotheses and decision rule.(Multiple Choice)
a. H0: μ ≥ 18. Reject H0 if tcalc > –1.74
b. H1: μ < 18. Reject H1 if tcalc < –1.74
c. H0: μ ≥ 18. Reject H0 if tcalc < –1.74
d. H1: μ < 18. Reject H1 if tcalc > –1.74
(b) If α = .01, we would have:(Multiple Choice)
a. failed to reject the null hypothesis.
b. rejected the null hypothesis.
(c) Use Excel to find the p-value. (Round your answer to 4 decimal places.)