Question

Judy is interested in the reading level of a medical journal. She records the length of a random sample of$100$words. The histogram displays the distribution of word length for her sample. Determine if the Normal/Large Sample condition is met in this context.

Short answer

The condition of normality is met.

Step-by-step solution

Given Information

The graph is as below:

Explanation

Observations from graph:

• The distribution shape is left skewed containing two outliers.
• Distribution is left skewed. Therefore it can be refer to as normal distribution normally.
• As sample size is $100>30$.
• Applying Central Limit Theorem, since sample size is larger; so distribution is normally normal.
• So, we can use condition for $t$distribution.