Question 2 (4 points) Suppose that a population is being studied that has a known standard deviation of 110. Further suppose a sample of size 90 is taken, resulting in a sample mean of 550. Determine the Point Estimate and the Margin of Error for a 95% Confidence Interval for this sample. Round all calculations to two (2) decimal places. Blank # 1 Blank # 2 Question 3 (4 points) Suppose that a population is being studied that has a known standard deviation of 35. Further suppose a sample of size 75 is taken, resulting in a sample mean of 350. Determine the Point Estimate and the Margin of Error for a 90% Confidence Interval for this sample. Round all calculations to two (2) decimal places. Blank # 1 Blank # 2
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- Margin of Error: We need to use the formula: Margin of Error = z* (standard deviation / square root of sample size), where z* is the z-score for a 95% confidence level, which is 1.96. Plugging in the values, we get: Margin of Error = 1.96 * (110 / square root of Show moreā¦
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Question 3 (2 points) Suppose a sample of size 30 is taken, resulting in a sample mean of 680 and a sample standard deviation of 136. Determine the Point Estimate and the Standard Error for a 90% Confidence Interval for this sample. Round all calculations to two (2) decimal places. Blank # 1 Blank # 2 Question 4 (2 points) Suppose a sample of size 12 is taken, resulting in a sample mean of 300 and a sample standard deviation of 30. Determine the Point Estimate and the Standard Error for a 99% Confidence Interval for this sample. Round all calculations to two (2) decimal places. Blank # 1 Blank # 2
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