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Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow procedure that utilized water containing theâ€‹ nutrient, they planted 6 tomato plants and recorded the heights of each plant 14 days after germination. Thoseâ€‹ heights, measured inâ€‹ millimeters, were as follows:

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57

a) Use technology to find the 95% confidence interval for the population mean μ. Use interval notation, smaller number first, with each number rounded to one decimal place.

(, )

b) Using technology to find the 99% confidence interval for the population mean μ. Use interval notation, smaller number first, with each number rounded to one decimal place.

(, )

c) Why is the 99% confidence interval wider than the 95% confidence interval?

The critical standard deviation is smaller when the confidence level is larger.
The critical $\displaystyle {t}$ value is smaller when the confidence level is larger.
The critical $\displaystyle {t}$ value is larger when the confidence level is larger.
The critical standard deviation is larger when the confidence level is larger.
None of the above statements is correct.

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