Z-Test

"""Z-test:

Hypothesis Question: Is the mean of a sample significantly different from a

known population mean?

Example: Is the mean weight of a sample of students different from the population mean weight of 65 kg?

Python Code:"""

import scipy.stats as stats

# Sample data

sample_data = [...]  # Insert your sample data here

pop_mean = 65  # Population mean

# Perform one-sample z-test

z_statistic, p_value = stats.ztest(sample_data, value=pop_mean)

print("Z-statistic:", z_statistic)

print("P-value:", p_value)

import numpy as np

def calculate_z_score(data):

  # Mean of the dataset 

    mean = np.mean(data)

   # Standard Deviation of tha dataset 

    std_dev = np.std(data)

   # Z-score of tha data points 

    z_scores = (data - mean) / std_dev

    return z_scores

# Example dataset 

dataset = [3,9, 23, 43,53, 4, 5,30, 35, 50, 70, 150, 6, 7, 8, 9, 10]

z_scores = calculate_z_score(dataset)

print('Z-Score :',z_scores)

# Data points which lies outside 3 standard deviatioms are outliers 

# i.e outside range of99.73% values

outliers = [data_point for data_point, \

          z_score in zip(dataset, z_scores) if z_score > 3]

print(f'\nThe outliers in the dataset is {outliers}')