本次英国代写是一个Python统计的assignment
Overview
Consider the following two-sample data from Real Statistics:
The results for this dataset are:
Recall from Lesson 08 that the two-sample t statistic is defined as:
where sp is the pooled standard deviation:
Questions & Tasks
In order to complete the tasks below, you will need the following packages:
import numpy as np
from scipy import stats
from matplotlib import pyplot as plt
Task 1: Write a function called t_two_sample
which (1) has two input arguments: yA
and yB
, and which (2) calculates the t-value for a two-sample test.
Task 2: Use your t_two_sample
function to verify the t value reported for the dataset above ( t=2.177 ).
Task 3: Use scipy.stats.t.sf
to verify the p value reported for the dataset above ( p=0.022 ).
Task 4: Simulate at least 1000 two-sample experiments to numerically verify the reported p value ( p=0.022 ).
Hints:
- See Lesson 09 for examples of experiment simulations.
- For each experiment, use your
t_two_sample
function (above) to calculate the two-sample t value. - Also use:
- nA=nB=10 (sample size)
- μA=μB=0 (means when H0 is true)
- σA=σB=1 (true SD values)
- N≥1000 (number of experiments)
- When simulating experiments, ensure that you use the Normal distribution (np.random.randn) and NOT the Uniform distribution (np.random.rand)
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