The size of fish is very important to commercial fishing. Astudy conducted in 2th! found the length of Atlantic cod caught in nets in Karlsltrona to have a mean of 49.9 cm and a standard deviation of 3.14 cm. Assume the length of fish is normally distributed. A sample of II] fish was taken. It is possible Iinvith rounding for a probability to be mm. a} Identify the individual, variable, type of variable and the random variable X in the context of this problem. The individual is Select an answer v The variable information collected from each individual is Select an answer v This variable is a Select an answer v variable. The random variable I is as follows: Select an answer v to List the givens with the correct symbols. ? v = 49.9 cm \"P v = 3-34 cm ? v = ll] c] Identityr the random variable IT in the context of this problem. Select an answer v d} Find the mean of the sampling distribution of the sample mean. Put the numeric value in the first box and the correct units in the second box. I e} Find the standard deviation of the sampling distribution of the sample mean. Put the numeric value rounded to two decimal places in the first box and the correct units in the second hex. fl What is the shape of the sampling distribution of the sample mean? Select an answer v Why? Check all that apply: L] n is less than 3111 El a is known [.1 population is not normal Ll population is normal CI a is unknown L] n is at least 3|] g] Find the probability that the sample mean length of the 10 randomly selected Atlantic cold is less than 48. 3 cm. Round final answer to 4 decimal places. DD HGT use the rounded standard deviation from part e in this computation. Use the ElthCr value of the standard deviation with the square root. h) Find the probability that the sample mean length of the 20 randomly selected Atlantic cod is more than 51.26 cm. Round final answer to 4 decimal places. DO NOT use the rounded standard deviation from part e in this computation. Use the EXACT value of the standard deviation with the square root. i) Is a mean length of 51.26 cm unusually high for 20 randomly selected Atlantic cod? Yes, the probability of having a sample mean length of at least 51.26 cm is less than or equal to 0.05 j) If you found a mean length for a sample of 20 Atlantic cod as high as 51.26 cm, what might you conclude? There is no evidence that the mean length of all Atlantic cod has changed from 49.9 cm