The approximate 95% confidence interval for Swapna's page views is [341, 375].
What is confidence interval?
- It is a range of values that's likely to include a population value with a certain degree of confidence.
- It is expressed as a percent (%) where a population mean lies between an upper and lower interval.
- A confidence interval is how much uncertainty is with any particular statistic.
- When it is a 95% confidence interval, it means a range of values that you can be 95% certain contains the true mean of the population.
- A confidence interval is obtained from the observed data that holds the actual value of the unknown parameter.
Formula of confidence interval:
Confidence interval = mean ± Z * (standard deviation/ √sample size)
For given question,
Sample size = 40
Sample mean = 358
Standard deviation = 54.3
Critical value at 95% confidence level= 1.96
Confidence interval = 358 ± 1.96 * (54.3/ √40)
= [358 - 1.96 * (54.3/ √40) ,358 + 1.96 * (54.3/ √40)]
= [341, 375] (approximately)
Learn more about confidence interval here
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