Assume that the weights of apples are normally distributed with a mean of 100 gramsand a standard deviation of 11 grams. The owner of a certain orchard is checkingan outgoing shipment of apples because she believes that they may be underweighton average due to poor weather this season. To test this, she takes a sample of 10apples from the shipment and records an average weight of 91 grams.
(a) State the null and alternative hypotheses in this case using correct statistical notation. Define the variable used. Is this a one-tailed or two-tailed test?
(b) State the null and alternative hypotheses using words instead of statistical notation.
(c) What conclusion would the orchard owner make regarding this shipment ofapples at a significance level of α = 0.05 if the p-value for the sample mean is 0.015?