Asked by Robin Sparks on Apr 26, 2024
Verified
When a researcher moves from a 90% confidence level to a 95% confidence level, the width of the confidence interval for the mean is ______.
A) increased
B) unchanged
C) less significant
D) decreased
Confidence Interval
A confidence interval is a range of values derived from sample statistics that is likely to contain the value of an unknown population parameter, with a specified level of confidence.
Confidence Level
The probability or likelihood, expressed as a percentage, that a specified interval will contain the true population parameter.
Mean Width
An average measure of the width of a set of objects or figures, calculated by summing the widths and dividing by the number of objects.
- Grasp how confidence measures relate to the breadth of intervals.
- Recognize how variations in confidence levels influence the precision of confidence intervals.
Verified Answer
CM
Ciara MulieriMay 01, 2024
Final Answer :
A
Explanation :
Increasing the confidence level from 90% to 95% increases the level of certainty that the calculated confidence interval truly contains the population mean. However, this increased level of certainty requires a wider range of values to be included in the interval, resulting in an increased width of the confidence interval.
Learning Objectives
- Grasp how confidence measures relate to the breadth of intervals.
- Recognize how variations in confidence levels influence the precision of confidence intervals.