A random sample of 18 fields of barley has a mean yield of 36.4 bushels per acre and standard deviation of 7.37 bushels per acre. Determine the 80% confidence interval for the true mean yield. Assume the population is approximately normal.

So, the confidence interval is [34.08, 38.72].

Step-by-step explanation:

We know that a  random sample of 18 fields of barley has a mean yield of 36.4 bushels per acre and standard deviation of 7.37 bushels per acre.  

We have :

We use the Appendix: Critical Values Tables, and we get that:

We calculate the margin of error:

We get the boundaries of the confidence interval:

So, the confidence interval is [34.08, 38.72].

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step-by-step explanation:

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