28.3.2. Normal Distribution

Try these first

1. 1.

   What does the normal distribution represent?

   Hint

   Think about how most values are centered.

2. 2.

   What are the two key parameters of the normal distribution?

   Hint

   One is the average, and the other indicates spread.

3. 3.

   What type of curve does a normal distribution create?

   • Bell-shaped
   • Square
   • Triangular

   Hint

   Think of the common shape associated with average data.

4. 4.

   True or False: The Central Limit Theorem allows us to use normal distribution for sampling distributions.

   • True
   • False

   Hint

   Consider when sample sizes are larger.

5. 5.

   A study shows that the heights of adult males in a population are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. What is the probability of randomly selecting a male with a height greater than 74 inches?

   Hint

   Use the z-score to find probabilities in the standard normal distribution.

6. 6.

   In a manufacturing process, a product's lifespan follows a normal distribution with a mean of 2000 hours and a standard deviation of 150 hours. Determine the lifespan limits for the middle 95% of the products produced.

   Hint

   Consider how the empirical rule applies to normal distributions.