The same 53 participants were also asked how many years that had worked in paid employment. Based on the sample data, a 95% confidence interval for underlying mean years of paid employment is (13.4, 17.4).A student tried using the confidence interval calculator to construct the confidence interval from the same sample data and got (14.4, 16.4) because they entered the wrong sample size.What sample size did they enter?
Question
The same 53 participants were also asked how many years that had worked in paid employment. Based on the sample data, a 95% confidence interval for underlying mean years of paid employment is (13.4, 17.4).A student tried using the confidence interval calculator to construct the confidence interval from the same sample data and got (14.4, 16.4) because they entered the wrong sample size.What sample size did they enter?
Solution
The student likely entered a larger sample size than the actual 53 participants. This is because a larger sample size would result in a narrower confidence interval, which is what we see with the interval (14.4, 16.4) compared to the correct interval (13.4, 17.4). However, without more information, such as the standard deviation or the standard error, it's impossible to determine exactly what sample size the student
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