A supermarket is trying to decide whether to accept or reject ashipment of tomatoes. It is impossible to check all the tomatoesfor size, but they desire an average weight of 8 ounces (theyneither want too large nor too small).
(a) State the hypotheses.
(b) A random sample of 25 tomatoes yields an average weight of7.65 ounces and a standard
deviation of 1.15 ounces. Calculate the test statistic and thep-value.
(c) Would you reject H0, or fail to reject H0 at 5% level ofsignificance?
(d) Should the supermarket reject the shipment? Explain.
(e) To what type of error are you subject to?