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A sample of 54 research cotton samples resulted in a sample average percentage elongation of 8.11...

A sample of 54 research cotton samples resulted in a sample average percentage elongation of 8.11 and a sample standard deviation of 1.44. Calculate a 95% large-sample CI for the true average percentage elongation μ. (Round your answers to three decimal places.) , What assumptions are you making about the distribution of percentage elongation? We make no assumptions about the distribution of percentage elongation. We assume the distribution of percentage elongation is normal with the value of σ known. We assume the distribution of percentage elongation is uniform. We assume the distribution of percentage elongation is normal with the value of σ unknown.

Math   Statistics-And-Probability   
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Answer #1

The  95% large-sample CI for the true average percentage elongation μ is calculated via the following formula

where ,    ,    and

The assumption of large sample Z test are

1. independent observation

2. interval or ration level data

3. Normal population n>30

4. population standard deviation is known.

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