The values on the horizontal axis are:
at 0 = 64
at one standard deviation (lower, upper) = (60.5 , 67.5)
at two standard deviation (lower, upper) = (57 , 71)
at three standard deviation (lower, upper) = (53.5 , 74,5)
B. P(x > 71) = 1 - P(x < 71) = 1 - P[z < (71 - 64)/3.5] = 1 - P(z < 2) = 1 - 0.97725 = 0.02275
Therefore the no of plants taller than 71 inches will be approximately 0.02275 * 3000 = 68
Answer:
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Step-by-step explanation:
3/18 = 15/90
13/15 =78/90
To rewrite it as the same denominator you have to find a number that they both go into. So 90 is the lowest number that both 18 and 15 go into. 18 x 5 is 90 and 15 x 6 is 90 so what you do to the denominator you have to do to the numerator. So then you do 3 x 5 which equals 15 and you have to do 13 x 6 which equals 78. So the equation would end up being with the two fractions 15/90 and 78/90.
Answer:
A) The sampling distribution for a sample size n=50 has a mean of 18.5 weeks and a standard deviation of 0.849.
B) P = 0.7616
C) P = 0.4441
Step-by-step explanation:
We assume that for the population of all unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 6 weeks.
A) We take a sample of size n=50.
The mean of the sampling distribution is equal to the population mean:

The standard deviation of the sampling distribution is:

B) We have to calculate the probability that the sampling distribution gives a value between one week from the mean. That is between 17.5 and 19.5 weeks.
We can calculate this with the z-scores:

The probability it then:

C) For half a week (between 18 and 19 weeks), we recalculate the z-scores and the probabilities:

