An SRS of 100 iPhones is selected from the factory and their batteries are tested. All the batteries produced have a mean lifetime of 32 hours and a standard deviation of 3 hours. The standard deviation of the sampling distribution of the mean,is equal to 0.3. If the sample size had been 400, how would the value ofchange?

O a It is 1/2 as large as when n=100. O O The value of X does not change. C It is 1/4 as large as when n=100. OOO C It is twice as large as when n=100. e It is four times as large as when n=100