Maria and Bob are going to construct confidence intervals from different simple random samples Both confidence intervals will have level 95 Marias sample comes from a population with standard deviation 1, and Bobs comes from a population with 2 Both sample sizes are the same a Which confidence interval will have the larger margin of error Or will they both be the same b Which confidence interval is more likely to cover the population mean Or are they both equally likely to do so

Question: Maria and Bob are going to construct confidence intervals from different simple random samples. Both confidence intervals will have level 95%. Marias sample comes from

Maria and Bob are going to construct confidence intervals from different simple random samples. Both confidence intervals will have level 95%.

Maria’s sample comes from a population with standard deviation σ = 1, and Bob’s comes from a population with

σ = 2.

Both sample sizes are the same.

a. Which confidence interval will have the larger margin of error? Or will they both be the same?

b. Which confidence interval is more likely to cover the population mean? Or are they both equally likely to do so?

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