Researchers are interested in the effect of a certain nutrient on the growth rat

Question

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 the nutrient, they planted six tomato plants and recorded the heights of each plant 14 days after germination. Those heights, measured in millimeters, were as follows: 53.1, 60.2, 60.6, 62.1, 64.4, 68.6.

1. What is the point estimate of the population mean height of this variety of seedling 14 days after germination? Do not round your final answer.

2. Given a margin of error of 5.4 mm, construct a 95% confidence interval for the population mean height. Enter only the lower limit for your confidence interval rounded to one decimal place.

3.Given a margin of error of 5.4 mm, construct a 95% confidence interval for the population mean height. Enter only the upper limit for your confidence interval rounded to one decimal place.

4. Why is a point estimate alone usually insufficient for statistical inference?

A. A point estimate alone is insufficient because the sampling distribution is not centered at the parameter.

Explanation / Answer

here margin of error =5.4

hence lower limit =mean -margin of error =61.5-5.4 =56.1

and upper limit =mean +margin of error =61.5+5.4 =66.9

B.An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

S. NO X 1 53.100 2 60.200 3 60.600 4 62.100 5 64.400 6 68.600 mean                             = m 61.500 std deviation              =                      S 5.1428

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