The average annual salary for government employees in Manila is Php 125,000. Assume that the population standard deviation is o = Php 15,000. Suppose that a random sample of 55 government employees wi be selected from the population. b. Using the answer from (a) What is the probability that the sample mean will be more than Php 125,000? c. Using the answer from (b) What is the probability the sample mean will be within Php5000 of the population mean?

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Please indicate how did you compute for the Z in letter b. 

Then answer if P(Z>) = 0.5 but I don't understand how did they get that. Thank you :)

The average annual salary for government employees in Manila is Php
125,000. Assume that the population standard deviation is o = Php
15,000. Suppose that a random sample of 55 government employees will
be selected from the population.
b. Using the answer from (a) What is the probability that the sample
mean will be more than Php 125,000?
c. Using the answer from (b) What is the probability the sample mean
will be within Php5000 of the population mean?
Transcribed Image Text:The average annual salary for government employees in Manila is Php 125,000. Assume that the population standard deviation is o = Php 15,000. Suppose that a random sample of 55 government employees will be selected from the population. b. Using the answer from (a) What is the probability that the sample mean will be more than Php 125,000? c. Using the answer from (b) What is the probability the sample mean will be within Php5000 of the population mean?
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