Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $20,000 and $45,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. a. What is the planning value for the population standard deviation? b. How large a sample should be taken if the desired margin of error is $300? Round your answers to next whole number. $230? $140?

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Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $20,000 and $45,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired.

**Problem Context:**

Annual starting salaries for college graduates with degrees in business administration are generally expected to be between **$20,000** and **$45,000**. Assume that a **95% confidence interval** estimate of the population mean annual starting salary is desired.

**Questions:**

a. What is the planning value for the population standard deviation?

   \[
   \sigma = \_\_\_\_
   \]

b. How large a sample should be taken if the desired margin of error is **$300**? Round your answers to the next whole number.

   \[
   \$230? \quad \_\_\_\_
   \]
   \[
   \$140? \quad \_\_\_\_
   \]
Transcribed Image Text:**Problem Context:** Annual starting salaries for college graduates with degrees in business administration are generally expected to be between **$20,000** and **$45,000**. Assume that a **95% confidence interval** estimate of the population mean annual starting salary is desired. **Questions:** a. What is the planning value for the population standard deviation? \[ \sigma = \_\_\_\_ \] b. How large a sample should be taken if the desired margin of error is **$300**? Round your answers to the next whole number. \[ \$230? \quad \_\_\_\_ \] \[ \$140? \quad \_\_\_\_ \]
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