What is the floor space of 16 x 10 x 9.5 inches
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This is a Question of Statistics and an application of standard normal distribution.
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.
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.
You break up the 207 into smaller numbers you can work with. 9 can go into 20 a maximum of 2 times, so you subtract 2*9 or 18 from 20. Then, you bring down the 7. 9 goes into 27 exactly 3 times, so you have 9*23=207.
