The compressive strength (in MPa) for a certain type of concrete has mean 22 and standard deviation 1.8. A random sample of 80 concrete cylinder is drawn. (i). What is the probability that the sample mean breaking strength is less than 20 MPa? (ii). How large a sample size is needed so that the probability of the sample mean being less than 22 MPa will be 0.01?

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The compressive strength (in MPa) for a certain type of concrete has mean 22 and
standard deviation 1.8. A random sample of 80 concrete cylinder is drawn.
(i). What is the probability that the sample mean breaking strength is less than 20
MPa?
(ii). How large a sample size is needed so that the probability of the sample mean
being less than 22 MPa will be 0.01?
Transcribed Image Text:The compressive strength (in MPa) for a certain type of concrete has mean 22 and standard deviation 1.8. A random sample of 80 concrete cylinder is drawn. (i). What is the probability that the sample mean breaking strength is less than 20 MPa? (ii). How large a sample size is needed so that the probability of the sample mean being less than 22 MPa will be 0.01?
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