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

54.3,

59.4,

60.3,

63.8​,

64.5,

and

71.4.

A. Using technology, find the 95% confidence interval for the population mean μ.

B. Using technology, construct a 99% confidence interval.

Answer 1

The statistical software output for this problem is :

One sample T confidence interval: u: Mean of variable 95% confidence interval results: Variable Sample Mean Std. Err. DF L. Limit U. Limit 62.283333 2.3544874 5 56.230931 68.335736 Data

One sample I confidence interval: u: Mean of variable 99% confidence interval results: Variable Sample Mean Std. Err. DF L. Limit U. Limit Data 62.283333 2.3544874 552.789666 71.777001

A)

The 95% CI is : (56.2 , 68.3)

B)

The 99% CI is : (52.8 , 71.8)