Two samples, each of size n, are taken from a normal distribution with unknown mean and unknown standard deviation A 90 confidence interval for is constructed with the first sample, and a 95 confidence interval for is constructed with the second Will the 95 confidence interval necessarily be longer...

No because the length of a confidence interval for is a function ...

Two samples, each of size n, are taken from a normal distribution with unknown mean and

Question:

Two samples, each of size n, are taken from a normal with unknown mean μ and unknown standard deviation σ. A 90% confidence interval for μ is constructed with the first sample, and a 95% confidence interval for μ is constructed with the second. Will the 95% confidence interval necessarily be longer than the 90% confidence interval? Explain. Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...