Samples were taken at four different locations (stations) which we call 1, 2, 3 and Reference. The reference (ref.) samples were taken far away from Koll(polluted beach) at a place with minimal pollution. Figure 1 shows the empirical mean and standard deviation of the enzyme level for an enzyme abbreviated Cat. (Note that the figure is neither a histogram nor a box plot.) The question we are interested in is whether the enzyme level inside Koll(stations 1-3) is different from the reference station (Ref). (a) Read and s from Figure 1 for each of stations 1, 2 and 3. A Cat 600 500 400 Activity (nmol/mg/min) Figure 1: Mean (x) and standard deviation (s) for samples taken from four stations in Koll. (It's the drawn by hand how to read and s.) The number of fish from which samples have been taken is ni = 18, n2 = 20, n3 = 13 and nRef = 17. 300 5.1 ** 200 ** 1004 X, Ref We assume that the variation between individuals within a station follows a normal distribution, and we denote the expected value for each of the four stations with u1, M2, M3 and Ref. The practical interpretation of an u is the average enzyme level for all individuals "living" at that station. (b) Create a 95% confidence interval for each of ul, u2, u3 (a total of three intervals). We read Ref = 354 from Figure 1, and we will now ignore the uncertainty in this measurement by setting pref = 354, ie. assume that this is the average among all individuals living at the reference station. (c) Which of the three confidence intervals that you constructed under point b) contains pref = 354? Do you perhaps recognize this question as a hypothesis test (which hypothesis)? Samples were taken at four different locations (stations) which we call 1, 2, 3 and Reference. The reference (ref.) samples were taken far away from Koll(polluted beach) at a place with minimal pollution. Figure 1 shows the empirical mean and standard deviation of the enzyme level for an enzyme abbreviated Cat. (Note that the figure is neither a histogram nor a box plot.) The question we are interested in is whether the enzyme level inside Koll(stations 1-3) is different from the reference station (Ref). (a) Read and s from Figure 1 for each of stations 1, 2 and 3. A Cat 600 500 400 Activity (nmol/mg/min) Figure 1: Mean (x) and standard deviation (s) for samples taken from four stations in Koll. (It's the drawn by hand how to read and s.) The number of fish from which samples have been taken is ni = 18, n2 = 20, n3 = 13 and nRef = 17. 300 5.1 ** 200 ** 1004 X, Ref We assume that the variation between individuals within a station follows a normal distribution, and we denote the expected value for each of the four stations with u1, M2, M3 and Ref. The practical interpretation of an u is the average enzyme level for all individuals "living" at that station. (b) Create a 95% confidence interval for each of ul, u2, u3 (a total of three intervals). We read Ref = 354 from Figure 1, and we will now ignore the uncertainty in this measurement by setting pref = 354, ie. assume that this is the average among all individuals living at the reference station. (c) Which of the three confidence intervals that you constructed under point b) contains pref = 354? Do you perhaps recognize this question as a hypothesis test (which hypothesis)