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Ierofanga [76]
3 years ago
5

A botanist measures the heights of 16 seedlings and obtains a mean and standard deviation of 72.5 cm and 4.5 cm, respectively. F

ind the 95 percent confidence interval for the mean height of seedlings in the population from which the sample was selected.
a. 170.54,7446)
b. 7010, 7490]
c. [70.30.7470
d. [62.91.82.09]
e. [71.90, 73101
Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0

Answer:

c. [70.30, 74.70]

Step-by-step explanation:

Confidence interval is a range of values in which there is a specified probability that the value of a parameter lies within that range.

The confidence interval of a statistical data can be written as.

x+/-zr/√n .......1

Given;

Mean gain x = 72.5 cm

Standard deviation r = 4.5 cm

Number of samples n = 16

Confidence interval = 95%

z (at 95% confidence) = 1.96 (from the table)

Substituting the values we have into equation 1;

72.5 +/- 1.96×4.5/√16

72.5 +/- 2.20 cm

[70.30, 74.70]

Therefore, the 95% confidence interval is

[70.30, 74.70] cm

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