Congratulations, you just made a confidence interval! But wait, how did we decide on the width of the interval? The middle of the interval is the sample mean. We start there, and then the "wiggle room" we give on either side of that center is called the margin of error (MOE). There's a formula for margin of error: 0 MOE = 2* √T This formula consists of three values: o is the standard deviation, n is the sample size, and z* is a multiplier that we choose based on the confidence level we need. Confidence levels are expressed as percentages, the most common are 90%, 95%, and 99%: * Confidence Z Level value 90% 1.645 95% 1.96 99% 2.576 Let's practice computing a margin of error. For our earlier example about houses, suppose the standard deviation was 14 years, and the sample size was 30. Use a confidence level of 95% and determine the margin of error: σ Remember, we'll use the formula MOE = 2* . First fill in the numbers for each part of the formula: √n σ= n = Now put it all together, rounding your answer to one decimal place: MOE = margin of error = years

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A: The confidence interval is (0.572, 0.710).

A: The confidence interval is  CI =(LB,UB) CI = (1.53,2.03)

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A: We have given the confidence interval(0.278, 0.400)Lower limit = 0.278Upper limit = 0.400

A: Given data,n=101x=4σ=1z-value at 90% confidence is Zc=1.645

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A: From the provided information, Confidence interval (1.70, 2.04)

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A: According to the given information, we have Mean = 102 Standard deviation = 7.5

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A: Givenconfidence level=95%Margin of error(E)=10standard deviation(σ)=200

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A: The confidence level: The sample size:

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