If the probability limit for a series of measurements is increased from 95% to 9
ID: 3206416 • Letter: I
Question
If the probability limit for a series of measurements is increased from 95% to 99%, a) how will the “Student’s t” factor be affected (higher, lower, or the same)? Give your reasoning. b) how will the confidence interval for a single value be affected? Give your reasoning. c) how will the confidence interval for the mean be affected? Give your reasoning.
If 10 sets of randomly selected glass beads are weighed instead of 5 sets of randomly selected glass beads, a) how will the estimate of the standard deviation of the mass be affected (higher, lower, or the same)? Give your reasoning. b) how will the “Student’s t” factor be affected? Give your reasoning. c) how will the confidence interval for the mean be affected? Give your reasoning.
Explanation / Answer
as confidence interval increases a) “Student’s t” factor will increase as it is measure of spread and hence increases.
b)it remains same as it depend on mean . c)it increases as interval depend on t value
as sample size decreases a)estimate of the standard deviation of the mass be increased as it is inversely proportion to square root of sample size. b) it will increase because low degree of freedom does require higher spread to be considered. c) confidence interval for the mean will increase because t and std erorr for the mean will increase.