To test whether the sample follows a normal distribution, we can use the Shapiro-Wilk test, which is commonly used for testing the normality of a dataset. Let's perform this test to find the p-value.
First, here are the steps:
1. Calculate the mean and standard deviation of the sample (already provided).
2. Apply the Shapiro-Wilk test to the data.
Let's proceed with the calculations.
import numpy as np
from scipy.stats import shapiro
# Sample data
data = [2, 3, 5, 5, 7, 8, 8, 9, 9, 10, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 15, 15, 15, 16, 16, 17, 17, 18, 18, 19]
# Shapiro-Wilk test for normality
shapiro_test = shapiro(data)
shapiro_test
The p-value from the Shapiro-Wilk test is 0.381. I hope I helped
