) 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. a. What is the value of the standard error of the mean? 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? d. How would the probability in part (c) change if the sample size were increased to 100?
) 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. a. What is the value of the standard error of the mean? 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? d. How would the probability in part (c) change if the sample size were increased to 100?
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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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.
a. What is the value of the standard error of the mean?
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?
d. How would the probability in part (c) change if the sample size were increased to 100?
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