Asked by Megan Byers on May 27, 2024
Verified
Many people who bought X-Game gaming systems over the holidays have complained that the systems they purchased were defective.In a sample of 1200 units sold, 18 units were defective.
a.
Determine a 95% confidence interval for the percentage of defective systems in the population.
b.
If 1.5 million X-Game gaming systems were sold over the holidays, determine an interval for the number of defectives in sales.
Confidence Interval
A variety of data points, taken from sample statistics, with a high likelihood of encasing an unknown population trait's value.
Defective Systems
Refers to systems or products that fail to meet quality standards or performance expectations due to flaws or errors.
Population Mean
The average value of a characteristic in a population.
- Understand how to construct a confidence interval for a population mean.
- Grasp the relationship between sample size, confidence level, and margin of error.
- Learn how to apply confidence intervals to real-world scenarios.
Verified Answer
TD
Tucker DowneyMay 29, 2024
Final Answer :
a.
.00812 to .02188 (rounded)
b.
12,184 to 32,816 (using unrounded estimates)
a.
.00812 to .02188 (rounded)
b.
12,184 to 32,816 (using unrounded estimates)
Learning Objectives
- Understand how to construct a confidence interval for a population mean.
- Grasp the relationship between sample size, confidence level, and margin of error.
- Learn how to apply confidence intervals to real-world scenarios.
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