A cement company needs to transport large volumes of bagged cement from its factory to its warehouse every day. It enters into a contractual agreement with a trucking company to provide the vehicles and drivers.The agreement is roughly summed up by the trucking company manager later that day: "We are giving the cement company a great price per trip, but it must ensure our trucks do not spend an average of more than 1 hour loading at the factory or more than 1 hour offloading at the warehouse. If we can prove the cement company is delaying our trucks, we can charge it penalties." A few months into the agreement, the trucking company claims that the loading and offloading of trucks is taking longer than agreed. A time study is therefore conducted.The loading of 120 trucks was recorded.The average loading time was found to be 64 minutes. The standard deviation was found to be half an hour.A hypothesis test must now be conducted to determine the validity of the trucking company's claim.Show that the trucking company's claim is not valid using an appropriate test statistic and a 5% significance level.Answers can be uploaded or typed in the textbox provided. Show all working. Round final answers off to 2 decimal places. Use a period