(Q2): A company manufactures bags of cement, each expected to weigh 50 kg with a standard deviation of 10 kg. A construction company manager has purchased a large lot of these bags, and suspects that the average weight of the bags is below the advertised 50 kg. To confirm his suspicions, the manager sets up a hypothesis test at a 2.5% significance level. A random sample of a 100 cement bags form the lot he purchased has an average weight of 47 kg. (a) Is this a 1-sided (i.e. a 1-tailed ) test ? Write down the Null and Alternate hypotheses. (b) Should the manager reject the null hypothesis ? Explain