Asample of a given size is used to construct a 95% confidence interval for the population mean with a known population standard deviation. if a bigger sample had been used instead, then the 95% confidence interval would have been and the probability of making an error would have been

narrower, reduced

Step-by-step explanation:

Given that a sample of a given size is used to construct a 95% confidence interval for the population mean with a known population standard deviation

we have confidence interval is margin of error on either side of mean.

Margin of error= Critical value * std error

Std error in turn is inversely proportinal to square root of n

For same confidence level, if sample size is increased we get a less margin of error and hence a narrower confidence interval.

when a confidence interval is narrowed, probability of making a type I error would be reduced.

Hence we get

If a bigger sample had been used instead, then the 95% confidence interval would have been __narrower and the probability of making an error would have been ___reduced.

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88