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

55.2 ,

59.9 ,

61.7,

62.4 ,

64.2,

and

67.2 .

Using​ technology,

find

the​ 95% confidence interval for the population mean

muμ.

\

Answer 1

We have for given data,                  
                  
Sample mean =61.77          
Sample standard deviation =4.061      
Sample size =6          
Level of significance=0.05          
Degree of freedom =5          
                  
t critical value is (by using t table)=   2.571          
                  
Confidence interval formula is                   


=(57.5075, 66.0325)