Astudent organization plans to ask 100 randomly selected students how much they spent on textbooks last semester. you argue for a sample of 900 students instead of 100. you know that the standard deviation of the sample mean x of the amounts spent will be times as large with the larger sample. what should the blank "" be: 1) three2) one-ninth3) one-third4) nine

3) one-third

Step-by-step explanation:

the proportion between the standard deviations is

= where

If sample 1 is the sample with 100 students and sample 2 is the sample with 900 students, then

= =

Therefore,

the standard deviation of the sample mean x of the amounts spent will be one-third times as large with the larger sample

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step-by-step explanation: