For large U.S. companies, what percentage of their total income comes from foreign sales? A random sample of technology companies (IBM, Hewlett-Packard, Intel, and others) gave the following information.t Technology companies, % foreign revenue: x,; n, = 16 62.8 55.7 47.0 59.6 55.3 41.0 65.1 51.1 53.4 50.8 48.5 44.6 49.4 61.2 39.3 41.8 Another independent random sample of basic consumer product companies (Goodyear, Sarah Lee, H.J. Heinz, Toys 'R' Us) gave the following information. Basic consumer product companies,% foreign revenue: x,; n, = 17 28.0 30.5 34.2 50.3 11.1 28.8 40.0 44.9 40.7 60.1 23.1 21.3 42.8 18.0 36.9 28.0 32.5 n USE SALT Assume that the distributions of percentage foreign revenue are mound-shaped and symmetric for these two company types. (a) Use a calculator with mean and standard deviation keys to calculate x,, S,, X2, and s3. (Round your answers to four decimal places.) % % x, = % s, = % (b) Let u, be the population mean for x, and let u, be the population mean for x,. Find a 90% confidence interval for u, - Hz. (Round your answers to two decimal places.) lower limit % upper limit %

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**Title: Analyzing Foreign Revenue in U.S. Companies**

For large U.S. companies, what percentage of their total income comes from foreign sales? A random sample of technology companies (IBM, Hewlett-Packard, Intel, and others) provided the following information:

**Technology Companies, % Foreign Revenue:**  
Data Sample:  
62.8, 55.7, 47.0, 59.6, 55.3, 41.0, 65.1, 51.1, 53.4, 50.8, 48.5, 44.6, 49.4, 61.2, 39.3, 41.8  
Number of Companies (n₁) = 16

Another independent random sample was taken from basic consumer product companies (Goodyear, Sarah Lee, H.J. Heinz, Toys 'R' Us), which provided the following information:

**Basic Consumer Product Companies, % Foreign Revenue:**  
Data Sample:  
28.0, 30.5, 34.2, 50.3, 11.1, 28.8, 40.0, 44.9, 40.7, 60.1, 23.1, 21.3, 42.8, 18.0, 36.9, 28.0, 32.5  
Number of Companies (n₂) = 17

### Instructions for Analysis:

**Step 1: Calculate Mean and Standard Deviation**  
- Use a calculator to find the mean (\(\overline{x}_1\), \(\overline{x}_2\)) and standard deviation (s₁, s₂) for both samples. Round your answers to four decimal places.

**Step 2: Calculate Confidence Interval**  
- Let \(\mu_1\) be the population mean for \(\overline{x}_1\) and let \(\mu_2\) be the population mean for \(\overline{x}_2\).
- Find a 90% confidence interval for \(\mu_1 - \mu_2\). Round your answers to two decimal places for the lower and upper limits.

### Graphs and Diagrams

There are no graphs or diagrams accompanying this data set, but you may visualize the information using statistical software to create diagrams that illustrate the distribution of foreign revenue
Transcribed Image Text:**Title: Analyzing Foreign Revenue in U.S. Companies** For large U.S. companies, what percentage of their total income comes from foreign sales? A random sample of technology companies (IBM, Hewlett-Packard, Intel, and others) provided the following information: **Technology Companies, % Foreign Revenue:** Data Sample: 62.8, 55.7, 47.0, 59.6, 55.3, 41.0, 65.1, 51.1, 53.4, 50.8, 48.5, 44.6, 49.4, 61.2, 39.3, 41.8 Number of Companies (n₁) = 16 Another independent random sample was taken from basic consumer product companies (Goodyear, Sarah Lee, H.J. Heinz, Toys 'R' Us), which provided the following information: **Basic Consumer Product Companies, % Foreign Revenue:** Data Sample: 28.0, 30.5, 34.2, 50.3, 11.1, 28.8, 40.0, 44.9, 40.7, 60.1, 23.1, 21.3, 42.8, 18.0, 36.9, 28.0, 32.5 Number of Companies (n₂) = 17 ### Instructions for Analysis: **Step 1: Calculate Mean and Standard Deviation** - Use a calculator to find the mean (\(\overline{x}_1\), \(\overline{x}_2\)) and standard deviation (s₁, s₂) for both samples. Round your answers to four decimal places. **Step 2: Calculate Confidence Interval** - Let \(\mu_1\) be the population mean for \(\overline{x}_1\) and let \(\mu_2\) be the population mean for \(\overline{x}_2\). - Find a 90% confidence interval for \(\mu_1 - \mu_2\). Round your answers to two decimal places for the lower and upper limits. ### Graphs and Diagrams There are no graphs or diagrams accompanying this data set, but you may visualize the information using statistical software to create diagrams that illustrate the distribution of foreign revenue
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