A100(1 − α)% confidence interval for the mean μ of a normal population when the value of σ is known is given byleftparen1.gifx − zα/2 ·σsqrt1a. gif n, x + zα/2 ·σsqrt1a. gif nrightparen1.gif. by how much must the sample size n be increased if the width of the ci above is to be halved? halving the length requires n to be increased by a factor of .if the sample size is increased by a factor of 49, what effect will this have on the width of the interval?