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# (Solved): A Simple Random Sample Of 20 Observations Is Derived From A Normally Distributed Population With A K...

A simple random sample of 20 observations is derived from a normally distributed population with a known standard deviation of 3.2 [You may find it useful to reference the z table] a. Is the condition that X is normally distributed satisfied? Yes NO b. Compute the margin of error with 95% confidence. (Round Intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer to 2 decimal places.) Margin of errorÅ¿ c. Compute the margin of error with 90% confidence. (Round Intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer to 2 decimal places.) Margin of error d. Which of the two margins of error will lead to a wider Interval? The margin of error with 90% confidence. The margin of error with 95% confidence.

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Solution : (a) Yes (b) At 95% confidence level the z is , = 1 - 95% = 1 - 0.95 = 0.05 / 2 = 0