Lesson 1 - REGIONS OF A NORMAL CURVE

"What's More"

Directions: Find the area under the normal curve in each of the following cases. Show your solution.

1. P(z

3. P(z? ?0.16)

5. P(0.17

Lesson 2 - z-Scores

"What's More"

Directions: Find the area under the normal curve in each of the following cases. Show your solution.

A. Given a normal distribution with a mean of 50 and a standard deviation of 5, find the area of the following:

1. P(z

2. P(z? 52.5)

C. Given a normal distribution with a mean of 24 and a standard deviation of 4, find the area of the following:

5. P(20 ? z? 33)

Lesson 3 - APPLICATIONS OF NORMAL DISTRIBUTION

"What's More"

Directions: Solve the following problems. Show your solution.

2. The pulse rates of adult men approach a normal distribution, with a mean of 80 bpm (beats per minute) and a standard deviation of 5 bpm. What percent of adults have a pulse rate of more than 92 bpm?

3. The IQs of 100 students are normally distributed with a mean of 115 and a standard deviation of 10.

a) What is the probability of selecting students whose IQ ranges between 110 and 127? b) If you will select students who have at least an IQ of 128, how many students are they?

c) If only the top 10 students from the group are selected, what would be the least IQ a student must have to be part of the top 10?

Lesson 1 - RANDOM SAMPLING

"What I Can Do"

Solve the following problems.

1. A researcher wants to study the effects of social media on Grade 11 students in Ilocos Norte College of Arts and Trades. If there are 1,000 Grade 11 students in the school, how many students should there be in his sample?

2. What would be the sampling interval in a group of 250 students with a sample containing 71 students?

3. You want to interview 300 students in your school to determine their opinion on the new school uniform. How will you choose your sample using stratified sampling if there are 1500 students in Grade 7; 1,200 in Grade 8; 1020 in Grade 9; 980 in Grade 10; 1250 in Grade 11; and 2050 in Grade 12? Complete the table below.

Population Number of Students Per Sample N = 8000 Stratum n = 300 Grade 7 Grade 8 Grade 9 Grade 10 Grade 11 Grade 12 Total