Question

1. We wish to see if the dial indicating the oven temperature for a certain model oven is properly calibrated. Five ovens of this model are selected at random. The dial on each is set to 300° F, and after one hour, the actual temperature of each is measured. The temperatures measured are 307°, 310°, 304°, 301°, and 305°. Assuming that the actual temperatures for this model when the dial is set to 300° are normally distributed with mean μ, we test whether the dial is properly calibrated by testing the hypotheses

H₀: μ = 300, H_a: μ ≠ 300.

Based on the data, the value of the one-sample t statistic is:

Answer 1

We have for given sample,              
Population mean for given sample=300
Sample mean=305.4      
Sample standard deviation s=3.3615  
Sample size =n=   5      
              
Degree of freedom = n-1 =4  
              
              
              
t test statistic formula is              


=3.592      

Therefore, the value of the one-sample t statistic is:3.592