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Identify which of the following are the correct symbol and value for the point estimate of the population mean time spent using apps for Generation X smartphone users.

Identify which of the following are the correct symbol and value for the point estimate of the population mean time spent using apps for Generation X smartphone users.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A recent Nielsen analysis found that the typical U.S. smartphone user is spending an average of 220 minutes per day using apps. We speculate that the average time spent using apps for Generation X smartphone users (aged 41-56 years) is less than the national average. The hypotheses are \( H_0: \mu = 220 \) minutes versus \( H_a: \mu < 220 \) minutes. Summary results from R are provided. **Summary Statistics** | Mean | Std. Dev (s) | Sample Size (n) | |---------------|----------------|-----------------| | 205 minutes | 63.25 minutes | 31 | The table provides a summary of the statistical analysis conducted on the time spent by Generation X on apps. The mean usage is 205 minutes with a standard deviation of 63.25 minutes, based on a sample size of 31 participants.
Transcribed Image Text:A recent Nielsen analysis found that the typical U.S. smartphone user is spending an average of 220 minutes per day using apps. We speculate that the average time spent using apps for Generation X smartphone users (aged 41-56 years) is less than the national average. The hypotheses are \( H_0: \mu = 220 \) minutes versus \( H_a: \mu < 220 \) minutes. Summary results from R are provided. **Summary Statistics** | Mean | Std. Dev (s) | Sample Size (n) | |---------------|----------------|-----------------| | 205 minutes | 63.25 minutes | 31 | The table provides a summary of the statistical analysis conducted on the time spent by Generation X on apps. The mean usage is 205 minutes with a standard deviation of 63.25 minutes, based on a sample size of 31 participants.
**Question:** Identify which of the following are the correct symbol and value for the point estimate of the population mean time spent using apps for Generation X smartphone users. **Options:** - \( \mu = 220 \) minutes - \( \bar{x} = 220 \) minutes - \( \mu = 205 \) minutes - \( \bar{x} = 205 \) minutes - Can not be determined because the population mean value is unknown. **Explanation:** In statistics, \( \mu \) represents the population mean, while \( \bar{x} \) denotes a sample mean. The point estimate of the population mean is typically represented by the sample mean \( \bar{x} \), since it's calculated from a sample of the population. In this context, identifying the value requires understanding whether the given minutes (220 or 205) pertain to a sample and aligning them with the correct symbol. If insufficient information is available regarding the sample data, the last option might be applicable.
Transcribed Image Text:**Question:** Identify which of the following are the correct symbol and value for the point estimate of the population mean time spent using apps for Generation X smartphone users. **Options:** - \( \mu = 220 \) minutes - \( \bar{x} = 220 \) minutes - \( \mu = 205 \) minutes - \( \bar{x} = 205 \) minutes - Can not be determined because the population mean value is unknown. **Explanation:** In statistics, \( \mu \) represents the population mean, while \( \bar{x} \) denotes a sample mean. The point estimate of the population mean is typically represented by the sample mean \( \bar{x} \), since it's calculated from a sample of the population. In this context, identifying the value requires understanding whether the given minutes (220 or 205) pertain to a sample and aligning them with the correct symbol. If insufficient information is available regarding the sample data, the last option might be applicable.
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