In: Statistics and Probability
The average weight of airline food packaging material needs to be controlled so that the total weight of the catering supplies does not exceed a desired limit. The material should weigh no more than 250 grams. If the weight is too heavy, then different packaging material will need to be ordered. A random sample of n= 100 shows the sample mean to be 259 grams with a known population standard deviation (sigma) of 50 grams.
(1 pt.) Write out Ho and Ha.
(1 pt.) Discuss the meaning of Type I and Type II error. Use words that describe the actions that will be taken (or not) in your answer (rather than just using notation of Ho or Ha).
(1 pt.) Using MegaStat, calculate the p-value and attach your output sheet printout.
(1 pt.) Can we reject Ho at the .01 significance level? CAREFULLY EXPLAIN WHY OR WHY NOT. Can we be 99% confident that the packaging material weighs more than 250 grams?