Mathematics: An organic farm has been growing an heirloom variety of summer squash. A sample of the weights of 40 summer squash revealed that the mean weight is 402.7 grams and the standard deviation 8.8 grams. What is the probability that the mean weight for a sample of 40 summer squash exceeds 405.5 grams? a. 0.3783. b. 0.0228. c. 1.0000. d. 0.5000.

An organic farm has been growing an heirloom variety

vladsmolin7781

12.08.2021

b. 0.0228

Step-by-step explanation:

We are given that

n=40

Mean, $\mu=402.7 g$

Standard deviation, $\sigma=8.8$ g

We have to find the probability hat the mean weight for a sample of 40 summer squash exceeds 405.5 grams.

$P(x405.5)=P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\frac{405.5-402.7}{\frac{8.8}{\sqrt{40}}})$

$P(x405.5)=P(Z\frac{2.8}{\frac{8.8}{\sqrt{40}}})$

P(x405.5)=P(Z2.01)

$P(x405.5)=1-P(Z\leq 2.01)$

P(x405.5)=1-0.977784

P(x405.5)=0.022216

Hence, option b is correct.

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ashtonbillups

01.10.2021

4 lawns

Step-by-step explanation:

$145=$65+N*$20

where N= no. of lawns he needs to now

$80=$20N

N=4

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