Consumers claim that a manufacturer is putting less than the stated mean amount of advertised grams into its 100 gram labelled tinned puppy food. If a sample of size 45 selected from this population reveals a sample mean of 98.8 grams, test the hypothesis that < 100 at a 1% level of significance by completing the following steps. Assume that is known to be 6 grams.

a) State the null and alternative hypotheses.

b) Determine the critical and calculated values of Z.

c) Decide whether to reject the null hypothesis and state your conclusion