xavier1283
01.08.2019 •
Mathematics
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 109.9109.9 micrograms per gram of fresh weight with a standard deviation of 8.18.1. consider a random sample of n equals 60n=60 hybrid tomato plants and let x overbarx represent the sample mean amount of the protein produced. would it be expected to observe a value of x overbarx less than 107107 micrograms per gram of fresh weight? explain. consider an event with a probability less than 0.05 unlikely.
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Ответ:
Average amount(Mean) of protein produced by the plant = 109.9
Standard Deviation = 8.1
Size of the sample = 60
Average amount of protein for the sample is the same as that of population.So average amount of protein for the sample = 109.9
Standard Deviation of the sample = (Population Standard Deviation) divided by (square root of sample size)
So sample standard deviation =
So, we are to find the probability of amount of protein being produced less than 107 for mean 109.9 and standard deviation 1.046.
First we convert this value to z score.
Z-score =
Using z-table, converting this z score to probability we get:
Probability of mean being less than 107 = 0.0028
Since the probability of mean being less than 107 is less than 0.05. This event is highly unlikely.
Ответ:
c>e
Step-by-step explanation:
c>e because both c and e are the tips of isoceles triangles whose sides are the same length(4). Therefore, c must be greater than e, because the value of AD is longer than the value of AB, leading to a wider angle.