we are 95% confident that the mean number of weekly hours that u.s. adults use computers at home is between ?
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To determine the range for the mean number of weekly hours that U.S. adults use computers at home with 95% confidence, you will need the sample mean, the standard deviation, and the sample size. Here's how you can calculate it:
1. Obtain a representative sample of U.S. adults and record the number of weekly hours they use computers at home.
2. Calculate the sample mean (x̄), which is the average number of weekly hours used by the sample.
3. Calculate the sample standard deviation (s), which measures the variability of the data points from the sample mean.
4. Determine the sample size (n), which is the number of individuals in the sample.
5. Use a statistical table or a calculator to find the critical value (z*) for a 95% confidence level. For a 95% confidence level, the critical value is approximately 1.96.
6. Calculate the margin of error (E), which is the maximum amount that the sample mean is likely to differ from the true population mean. The formula for the margin of error is E = z* * (s / √n).
7. Finally, calculate the confidence interval by subtracting and adding the margin of error to the sample mean.
The confidence interval formula is: (x̄ - E, x̄ + E)
Note that the confidence interval will provide you with a range in which you can be 95% confident that the true population mean number of weekly hours U.S. adults use computers at home lies.
By following these steps, you should be able to determine the range for the mean number of weekly hours that U.S. adults use computers at home with 95% confidence.