20250519 9.3: Independent Samples for Two Means

Source: 

9.3: Independent Samples for Two Means

    Example 9.3.1 hypothesis test for two means

    The cholesterol level of patients who had heart attacks was measured two days after the heart attack. The researchers want to see if patients who have heart attacks have higher cholesterol levels over healthy people, so they also measured the cholesterol level of healthy adults who show no signs of heart disease. The data is in Table  9.3.1 ("Cholesterol levels after," 2013). Do the data show that people who have had heart attacks have higher cholesterol levels over patients that have not had heart attacks? Test at the 1% level.

Cholesterol Level of Heart Attack PatientsCholesterol Level of Healthy Individual
270196
236232
210200
142242
280206
272178
160184
220198
226160
242182
186182
266198
206182
318238
294198
282188
234166
224204
276182
282178
360212
310164
280230
278186
288162
288182
244218
236170
200
176
Mean, x1-barMean, x2-bar
253.93193.13
S1: Sample SDs2: sample sd
47.7104915622.30004381

n1 = 28n2 = 30


Using an online application (tool):

Input the data needed based on the data from the given (All screenshots are taken by me-using the mentioned tool)



The result I got:





Other information: and references:

I-yuan Chiang youtube videos


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