) 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?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 4CYU
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Transcribed Image Text:Note/Hint: within 1 unit from is also same as saying 1 unit of – this means 1 unit above and 1 unit below.
For the z-values – use the set of z-values for the 90%, 95% and 99% confidence level, all else use that
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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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