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 ± 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

Respuesta :

Given:
random sample of 520 adults
mean was 150
standard deviation was 4.5.
reported with a 95% confidence level, and the confidence interval for the study was 150 ± 0.39.

The range of 
values that shows the confidence interval for the study is 149.61 to 150.39

150 + 0.39 = 150.39
150 - 0.39 = 149.61

Using the principle of the confidence interval, the range which shows the confidence interval of the study is (149.61, 150.39).

Given

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 ± 0.39.

What is the principle of the confidence interval?

The lower bound of the confidence interval is the observed score minus the margin of error; the upper bound is the observed score plus the margin of error.

The width of the confidence interval is twice the margin of error.

Therefore,

The range of values shows the confidence interval for the study is;

Lower bound = = 150 - 0.39 = 149.61

Upper boundary = 150 + 0.39 = 150.39

Hence,  the confidence interval for the study would be (149.61; 150.39).

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