The standard error is 1.5.
The range of 95% confidence interval is 160 mg/dL and 220 mg/dL
<h3>What is the standard error of the distribution?</h3>
The standard error of the distribution is calculated as follows:
- Standard error = standard deviation/√N
where N is the number of participants = 100
From the empirical rule of a normal or symmetrical distribution;
- 68% of the data lies within one standard deviation
- 95% percent within two standard deviations, and
- 99.7% within three standard deviations from the mean.
Therefore, 175 mg/dl and 205 mg/dl lie one standard deviation from the mean.
One standard deviation = 175 - 190 or 205 - 190 = ±15
Standard deviation = 15
a. Solving for the standard error using the equation above;
Standard error = 15/√100
Standard error = 1.5
b. The range of 95% confidence interval is two standard deviations away from the mean.
Range of values two standard deviations from the mean = 190 - (2*15) and 190 + (2 * 15)
Range of values two standard deviations from the mean = 160 mg/dL and 220 mg/dL
Therefore, the range of 95% confidence interval is 160 mg/dL and 220 mg/dL
In conclusion, the standard error is calculated from the standard deviation and the sample size.
Learn more about standard error at: brainly.com/question/14467769
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