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Suppose that the length of a confidence interval is 0.06 when the sample size is 400. Determine how the sample size must change to decrease the length of the confidence interval to 0.03 (Use decimal notation. Give your answer as a whole number:) new sample size:

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We use Z-Distribution for large sample sizes, The reduced sample size is 200.

What do you mean by probability distribution?

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

What do you  mean by Z-distribution?

A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution.

confidence interval = 0.06

Sample size= 400

new interval of confidence = 0.03

new sample size = 400/0.06 * 0.03

=200

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