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Many college and university students have obtained internship jobs. A statistics professor wants to determine whether students in different degree programs earn different amounts. A random sample of 5 students was selected in each of the department of Statistics, Mathematics and Physics programs and they were asked to report how much they have earned from the previous internship. The results (in R1000.00) are presented below.

Data Statistics Mathematics Physics
3.3 3.9 4.0
2.5 5.1 6.2
4.6 3.9 6.3
5.4 6.2 5.9
3.9 4.8 6.4
The sample size 5 5 5
The sample mean 3.94 4.78 5.76
The sample variance 1.263 0.917 1.003
To determine which population means differ in the internship earnings, the professor used the least significant difference (LSD) method with a = 0.05.
The calculated value of LSD is

Sagot :

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