Question
In a random sample of 520 adults, the mean was 150 and the standard deviation was 4.5 . The study was reported with a \( 95 \% \) confidence level, and the confidence interval for the study was \( 150 \pm 0.39 \). What range of values shows the confidence interval for the study? 146.1 to 153.9 149.61 to 150.39 150 to 150.39 150 to 153.9 DONE
Ask by Sullivan Howell. in the United States
Feb 25,2025
Upstudy AI Solution
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Answer
The confidence interval ranges from 149.61 to 150.39.
Solution
The study reported the confidence interval as 150 ± 0.39. This means the lower limit is 150 - 0.39 = 149.61 and the upper limit is 150 + 0.39 = 150.39. Therefore, the confidence interval ranges from 149.61 to 150.39.
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Simplify this solution Bonus Knowledge
The confidence interval for the study is calculated by taking the mean and adding and subtracting the margin of error. Here, the mean is 150, and with a margin of error of 0.39, the interval is \( 150 - 0.39 \) to \( 150 + 0.39 \). This gives us a range of 149.61 to 150.39. To visualize it: if you picture the confidence interval as a cozy blanket around the mean, it's just snug enough to capture where most of the estimated values lie. So, it’s a lovely little range from 149.61 to 150.39!
