1. A researcher claims that 85% of college students would rather spend their extra money for internet access loads than food. Another researcher would like to verify this claim. She randomly selected 450 students. Among them, 269 said that they would rather use their extra money for internet access loads than food. 2. Pedro made a claim that 90% of college male students in their school join triathlon. His friend, Baste, finds this hard to believe and decided to check the validity of such claim, so he took a random sample and found out that 25 out of 40 had joined the race. 3. A certified public accountant (CPA) claims that more than 30% of all accountants advertise. A sample of 112 accountants in Metro Manila showed that 45 use some form of advertising.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Activity 1.2: Check On My Own!
Directions: Check whether the sample in each problem is sufficiently
large enough to use the Central Limit Theorem in normal approximation.
Write SLS if it is sufficiently large sample, if not write the condition/s that
is/are not satisfied.
1. A researcher claims that 85% of college students would rather spend their extra
money for internet access loads than food. Another researcher would like to
verify this claim. She randomly selected 450 students. Among them, 269 said
that they would rather use their extra money for internet access loads than food.
2. Pedro made a claim that 90% of college male students in their school join
triathlon. His friend, Baste, finds this hard to believe and decided to check the
validity of such claim, so he took a random sample and found out that 25 out of
40 had joined the race.
3. A certified public accountant (CPA) claims that more than 30% of all
accountants advertise. A sample of 112 accountants in Metro Manila showed
that 45 use some form of advertising.
4. A social worker reports that 5% of workers in a factory are below 21 years of
age. Of the 70 employees surveyed, 10 said they are below 21 years old.
5. It is believed that in the coming election, 75% of the voters in the Province of
Ilocos Norte will vote for the administrative candidate for governor. Out of 1,170
randomly selected voters, 740 indicated that they would vote for the
administrative candidate.
Transcribed Image Text:Activity 1.2: Check On My Own! Directions: Check whether the sample in each problem is sufficiently large enough to use the Central Limit Theorem in normal approximation. Write SLS if it is sufficiently large sample, if not write the condition/s that is/are not satisfied. 1. A researcher claims that 85% of college students would rather spend their extra money for internet access loads than food. Another researcher would like to verify this claim. She randomly selected 450 students. Among them, 269 said that they would rather use their extra money for internet access loads than food. 2. Pedro made a claim that 90% of college male students in their school join triathlon. His friend, Baste, finds this hard to believe and decided to check the validity of such claim, so he took a random sample and found out that 25 out of 40 had joined the race. 3. A certified public accountant (CPA) claims that more than 30% of all accountants advertise. A sample of 112 accountants in Metro Manila showed that 45 use some form of advertising. 4. A social worker reports that 5% of workers in a factory are below 21 years of age. Of the 70 employees surveyed, 10 said they are below 21 years old. 5. It is believed that in the coming election, 75% of the voters in the Province of Ilocos Norte will vote for the administrative candidate for governor. Out of 1,170 randomly selected voters, 740 indicated that they would vote for the administrative candidate.
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