A random sample of 14 chemical solutions is obtained, and their strengths are measured. The sample mean

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A random sample of 14 chemical solutions is obtained, and their strengths are measured. The sample mean is 5437.2 and the sample standard deviation is 376.9.
(a) Construct a two-sided 95% confidence interval for the average strength.
(b) Estimate how many additional chemical solutions need to be measured in order to obtain a two-sided 95% confidence interval for the average strength with a length no larger than 300.
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