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 <

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### 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.
Transcribed Image Text:### 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.
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