A study of working actors looked at age and gender. One sample of 45 male actors had a mean age of 39 and a standard deviation of 4. The other sample included 45 female actors with a mean age of 24 and a standard deviation of 3. Estimate with 89% confidence the difference between the average ages of working male (µ1) and female (u2) actors. Round answers to the nearest hundredth. < 41 – H2 <
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![### Study on Age and Gender of Working Actors
A study of working actors examined the variables of age and gender. Here are the details:
- **Sample 1: Male Actors**
- **Sample Size:** 45
- **Mean Age:** 39
- **Standard Deviation:** 4
- **Sample 2: Female Actors**
- **Sample Size:** 45
- **Mean Age:** 24
- **Standard Deviation:** 3
The goal is to estimate, with 89% confidence, the difference between the average ages of working male (μ₁) and female (μ₂) actors. You need to round your answers to the nearest hundredth.
The confidence interval can be represented as:
\[ \text{Lower Bound} < \mu_1 - \mu_2 < \text{Upper Bound} \]
Enter the appropriate values for the lower and upper bounds in the given placeholders.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa218d9b0-33cd-49fb-8966-615774819802%2F1a1f827a-8b47-4b73-a093-3b7f17812b67%2Ffr8fzd_processed.png&w=3840&q=75)
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