The Tinned Fruit Company introduced a new range of mid-sized tins of fruit earlier this year. The company claims that the mean weight of these tins of fruit are on average 200g, with a standard deviation of 12g. Recently however, a consumer organisation has received a number of complaints from consumers who believe that the mean weight of their tins containing nectarines is actually less than 200g. To investigate this discrepancy, the consumer organisation randomly selects 1500 tins of nectarines produced in July and records the weight of these tins. This sample is then used to assess whether the company is marketing tins of nectarines that weigh on average less than 200g. a. What is the population we can draw conclusions about in this study?We have produced a sampling distribution for the mean weight using 200 samples of size 1500, taken from a population where the mean is 200g, with a standard deviation of 12g. The sampling distribution is displayed in Figure 1. Highlighted Section 30- Frequency 20- 2.5% 2.59% 10- 200.8 201.0 199.2 9'661 199.4 8'661 200.0 200.2 9'007 0'661 200.4 Figure 1: Distribution of sample means in 200 samples of size 1500, taken from a population where the mean is 200g and the standard deviation is 12g b. What does the highlighted section of the sampling distribution in Figure I represent?Pete the postie is accused by his manager of being too slow in completing his mail deliveries. Pete feels he is completing his designated routes within a reasonable amount of time and calls for an investigation. He makes a point of recording the time it takes him to complete each of his four routes and it turns out they each take 110 minutes. On which of the following routes would Pete be considered unusually slow compared to the other posties who deliver on the same routes? Route 1 where the mean time is u = 120 minutes and the standard deviation o = 10 minutes Route 2 where the mean time is u = 60 minutes and the standard deviation o = 20 minutes Route 3 where the mean time is u = 140 minutes and the standard deviation o = 10 minutes Route 4 where the mean time is u = 95 minutes and the standard deviation o = 15 minutes Justify your answer, showing your calculations and quoting the relevant statistics as part of your explanation. Assume the route times are normally distributed