Question

Can we conclude that patients with primary hypertension (PH), on the average, have higher total cholesterol levels than normotensive (NT)patients? Can we conclude that PH patients have, on average, higher total cholesterol levels than NT patients? Population variances are not equal. Let α =0.01.

1. Excel file using the Excel to fill the following before you start.

2. Write the hypotheses

3. find the critical value

4. calculate the standardized t -value

5. what is the decision

Total Cholesterol
Primary Hypertensive Patients	Normotensive Patients
222	177
203	179
178	194
117	206
213	137
225	189
200	194
212	196
252	212
272	168
227	188
200	235
221	200
235	135
240	161
266
251
240
214
258
251
260
225.3181818	184.7333333	Mean
34.43611941	26.68725396	Standard Deviation
22	15	Size sample

Total Cholesterol
	Primary Hypertensive Patients	Normotensive Patients
Mean
Standard Deviation
size sample

Answer 1

Answer Date: 06/03/2019 1) The total cholesterol for primary hypertensive patients and normotensive patients is, 1) Import the data. 2) Select Data Analysis option from Data menu 3) Select Descriptive Statistics from Data Analysis. 4) Choose Input Range and Suunmary Statistics from Descriptive Statistics 5) Click Ok. The total cholesterol for primary hypertensive patients and nomotensive patients Excel output is, Primary Hypertensive Patients Normotensive Patients Mean Standard Deviation Count 225.3181818 Mean 34.43611941 Standard Deviation 184.7333 26.68725 15 22 Count

2) To test the hypothesis is that PH patients have average higher total cholesterol levels tharn NT patients at 1% significance level. The null and alternative hypothesis is, 3) The t-critical value is, By using Excel software, find tt-critical value with the help offollowing steps 1) Import the data. 2) Select t-test: Two Sample Assuning Unequal Variances from Data Analysis in en Data menu. 3) Select Variable 1 Range and Variable 2 Range 4) Give Hypothesized Mean Difference 5) Select Labels and give Alpha 6) Choose Output Range from Output options. 7) Click Ok.

t-Test: Two-Sample Assuming Unequal Variances Prima ertensive Patients 225.3181818 1185.84632 Normotensive Patients Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<-t) one-tail t Critical one-tail P(T< t) two-tail t Critical two-tail 184.7333333 712.2095238 15 34 4.03071337 0.000148253 2.44114961 0.000296506 2.728394364 From the Excel output, the t-critical value is 2.441 4) The t-test statisticsis, From the Excel output in part (3), the t-test statistics is 4.031

5) Decision The statistical decision is that the t-test statistics which is 4.031 is greater than t-critical value which is 2.441, so the null hypothesis is rejected at 1% level of significance. There is sufficient evidence to indicate that PH patients have average higher total cholesterol levels than NT patients. The result is statistically significant.