Normal Distribution and Sampling

At a public school, the average grades are normally distributed with a mean of 87 and standard deviation of 3. What percentage of students at the high school have a GPA between 84 and 90?

• 95%

• 68%

• 99%

• 13.5%

Age of burglars have a mean of 35, and a standard deviation of 5. How common is a score between 40 and 45? Estimate the probability.

• 13.5%

• 5%

• 10%

• 25%

The mean age of church members is 40. The standard deviation is 10.

Then, 95% of all church members will have an age between ___ and ___.

• 25 and 65

• 30 and 50

• 20 and 60

• 10 and 70

The average monthly income of families in a Barangay is Php. 55,000 with a standard deviation of Php. 15,000. 
If monthly income of families are normally distributed, determine the z-score of a family with monthly income of Php. Php. 70,000?

• 2

• 0

• 3

• 1

A journalist wants to report the average life of expectancy of a certain province which is normally distributed with a mean of 71 years and a standard deviation of 10 years.

About what percent of people who have a life expectancy of 71 and 81?

• 38%

• 34%

• 30%

• 39%

A teacher selected a sample in his research where he used his master list of students, selected a random start, and selected every nth number of students in the list where n is the random start. What type of sampling technique is this?

• Stratified

• Systematic

• Cluster

• Stratified

The President of the Philippines wants data on the family income of regular Filipinos. The researcher used randomizer to select certain Regions int he Philippines to be the respondents. What type of random sampling technique is this?

• Simple

• Stratified

• Cluster

• Sytematic

A pastor wants to know the church members' daily habits on prayer and reading the bible. He used a randomizer to select the respondents. What type of random sampling is this?

• Cluster

• Stratified

• Sytematic

• Simple

A journalist need to report on the satisfaction index of the citizens residing in Ibajay. She randomly selected the Barangays to be the target respondents of the study. What type of random sampling is this?

• Systematic

• Simple

• Stratified

• Cluster

The policeman wants to gather data on high school students' preference on taking a Criminology degree. He selects in proportion the participants in each group which are the schools in Ibajay. Based on the ratio, he has many respondents in schools with larger population and fewer on schools with less population. What type of random sampling is this/

• Stratified

• Cluster

• Sytematic

• Simple