An investigation of the ability of a hybrid tomato plant to produce a certain pr

Question

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 105.4 micrograms per gram of fresh weight with a standard deviation of 8.3. Consider a random sample of n = 70 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 103 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.) it would be expected to observe a value of x less than 103 micrograms per gram of fresh weight because the probability of such an event is which is unlikely. It would be expected to observe a value of x less than 103 micrograms per gram of fresh weight because the probability of such an event is which is not unlikely. It would not be

Explanation / Answer

Sample mean = 105.4 mgpergram
Stdev = 8.3
n=70

Ho: Xless<103
Ha: Xless>=103

alpha=.05

Z = (105.4-103)/(8.3/sqrt(70)) = 2.42

Since the Z value of 2.42 is outside the Z critical of 1.96 ( the critical value of .05)
So, since 2.42>1.96.

The null hypothesis is rejected.

C is the right answer

It would be not expected to observe a value of Xless than 103 microgram per gram of fresh weight because probability of such an event is 1-.9922 = .0078 which is not likely.

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