8.2 Shapiro-Wilk Test

8.2 Shapiro-Wilk Test

• To test for the normality of a population:
  • P-value > 0.05, then the assumption of normality is satisfied
• If H0 is accepted: all population for the test are normally distributed, and vice versa

• Hypothesis test in R-Programming:
  • H0: μ =16, H1: μ != 16
  • Conclusion: Accept H0 at p-value is larger than 0.05. Therefore, population mean is equal to 16.

• When conducting Shapiro-Wilk Normaility test to Shapiro-Wilk:
  • The test statistics is denoted by W. Its value is 0.8788.
  • The p-value is 0.2636 and it is larger than 0.05. Therefore, we accept that the parent population is normal.