Question

A researcher wanted to study the effect of low light environments on the growth of alfalfa plants, so she grew six plants and measured their heights after two weeks. She calculated a sample mean of 5.35 cm and a sample standard deviation of 0.90 cm. If the heights of the first five plants in her sample were 6.0 cm, 5.9 cm, 4.0 cm, 5.5 cm, and 6.2 cm, what is the height of the other plant?

Answer 1

Height of the other plant is
`4.5` cm

Step-by-step explanation:

- Given -

Mean of the sample set of plants
`= 5.35`cm

Mean of a given set of data is equal to the sum of integral values of each data divided by the number of such data points

`M = (x)/(n)`

Where M signifies the Mean values

X signifies the sum of all unit data with in a sample

and n signifies total number of data units with in a sample

On substituting the given values in above equation, we get -

`(6.0+5.9+4.0+5.5+6.2+A)/(6) = 5.35\\5.35 * 6= 27.6 + A\\A = 32.1-27.6\\A=4.5`

Hence, height of the other plant is
`4.5` cm