Suppose that the wing span of a certain specie of birds follows some probability distribution with mean 43,5 cm and stan

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Suppose That The Wing Span Of A Certain Specie Of Birds Follows Some Probability Distribution With Mean 43 5 Cm And Stan 1 (48.16 KiB) Viewed 19 times

Suppose that the wing span of a certain specie of birds follows some probability distribution with mean 43,5 cm and standard deviation 5.3 cm Suppose that a group of zoologists randomly samples 52 of those birds for survey purposes. () Which statement best deschbes the sampling distribution of the sample mean wing span from the 52 birds the best? The sample mean wing span of the 52 birds always exactly follows a normal distribution The sample mean wing span of the 52 birds always approximately follows a normal distribution. Since the wing span of each birds is a normal random variable, the sample mean wing span of the s2 birds exactly follows a normal distribution regardless of the sample size. Since the wing span of each individual birds is a normal rondom variable, the sample mean wing span of the 52 bleds approximately follows a normal distribution regardless of the sample size. Since the wing span of each birds is a normal random variable and the sample size of 52 is large enough, the sample mean wing span of the 52 birds exactly follows a normal distribution Since the wing span of each individual birds is a normal random variable and the sample size of 52 is large enough, the sample mean wing span of the 52 birds approximately follows a normal distribution Since the sample size of 52 is targe enough to use the Central Umit Theorem, the sample mean wing span of the 52 birds approximately follows a normal distribution Since the sample size of 52 is large enough to use the Central Limit Theorem, the sample mean wing span of the 52 birds exactly follows a normal distribution (b) Find the probability that the wing span of one (1) bird is less than 44.11 cm. Enter "NA" if the probability cannot be obtained, To avoid rounding errors, you are strongly recommend to refrain from rounding in your intermediate steps. If necessary, round your final answer to four decimal places x (©) Find the probability that the sample mean wing span of the 52 birds is less than 44.11 cm. Enter "NA" if the probability cannot be obtained. To avold rounding errors, you are strongly recommend to refrain from rounding in your intermediate steps. If necessary, round your final answer to four decimal places