A sample of 55 research cotton samples resulted in sample average a percentage e

Question

A sample of 55 research cotton samples resulted in sample average a percentage elongation of 8.12 and a sample standard deviation of 1.44. Calculate a 95% large-sample CI for average percentage elongation mu. (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 sigma known. We assume the distribution of percentage elongation is normal with the value of sigma unknown. We assume the distribution of percentage elongation is uniform. You may need to use the appropriate table in the Appendix of Tables to answer this question.

Explanation / Answer

The statistical software output for this problem is:

One sample T confidence interval:
: Mean of population

95% confidence interval results:

Hence,

95% confidence interval will be:

(7.731, 8.509)

Option C is correct.

Mean Sample Mean Std. Err. DF L. Limit U. Limit 8.12 0.19416956 54 7.7307135 8.5092865

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