-A producer of breakfast cereals sells muesli in boxes with a nominal weight of 750g. A random sample of 25 boxes was selected. The mean weight was 740g with a standard deviation of 14g.
a) Use a statistical hypothesis testing procedure to determine whether the mean weight is 750g or lower. Use a 5% significance level and clearly state your hypotheses and conclusions. you may assume that the weights follow a Normal distribution.
-A supermarket chain has specified that it wants no more than 4% of the dairy products on display in its stores to be exceeding their ''sell by'' date. An audit of the dairy products on display was undertaken. A random sample of 80 dairy products was taken and of these items, 7 had exceeded their ''sell by'' date.
b) Use a statistical hypothesis testing procedure to determine if the proportion of dairy products exceeding their ''sell by'' date is higher than 4%. Use a 5% level of significance and clearly state your hypotheses and conclusion.
