Need help, please show work An investigation of the ability of a hybrid tomato p

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Need help, please show work

An investigation of the ability of a hybrid tomato plant to produce a certain protein found that the amount x of the protein produced in the plant had a mean of 109.1 micrograms per gram of fresh weight vwith a standard deviation of 8.7. Consider a random sample of n 62 hybrid tomato plants and let x represent the sample mean amount of the protein produced. Would it be expected to observe a value of x less than 106 micrograms per gram of fresh weight? Explain. Consider an event with a probability less than 0.05 unlikely. Select the correct choice below and fill in the answer box within your choice (Round to four decimal places as needed.) O A. It would not be expected to obsenve a value of x less than 106 micrograms per gram of fresh weight because the probability of such an event iswhich is unlikely. OB. It would not be expected to observe a value of less than 106 micrograms per gram of fresh weight because the probability of such an event is which is not unlikely. OC. It would be expected to obsenve a value of x less than 106 micrograms per gram of fresh weight because the probability of such an event is which is not unlikely OD. t would be expected to observe a value of i less than 106 micrograms per gram of fresh weight because the probablity of such an event is which is unlikely

Explanation / Answer

Solution:- Given that mean = 109.1 , sd = 8.7 , n = 62

P(xbar < 106) = P(Z <(106 -109.1)/(8.7/Sqrt(62) = P(Z < -2.8057) = 0.0025

=> option D. It would be expected to observe a value of x overbarx less than 106 micrograms per gram of fresh weight because the probability of such an event is _0.0025__ which is unlikely.

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