It is well documented that cholesterol over 200 is a risk factor in developing heart disease for both men and women. Younger men are known to have higher cholesterol levels than younger women; however, beyond the age of 55, women are more likely to have higher cholesterol levels. A recent college graduate working at a local blood lab has access to the cholesterol data of 50 men and 50 women in the 20-40 age group. Using this data she would like to determine if the cholesterol levels of men and women in the 20-40 age group differ. Assume the population variances are equal.

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1. Specify the hypotheses.

H(0) = ____?____. ______?____. _____?_____

H(A) = ___?_____. _____?_____. _____?______

1. What is the test statistic and p-value?Round to 4decimal places.

Test statistic = ____?_____

p-value = _____?______

1. At the 5% significance level, what is the decision and conclusion to this test?

____?____. ____?______. Therefore, we ___?____ conclude

__________________________?_____________________________

Men	Women
181	178
199	193
189	185
187	188
205	190
188	193
192	190
186	195
196	201
196	191
191	182
194	205
200	184
209	190
194	186
197	182
188	199
219	188
194	202
195	177
194	197
194	178
192	184
190	189
189	183
198	180
193	197
191	195
195	195
202	198
188	199
207	185
180	180
188	187
198	179
204	198
204	189
203	198
213	192
187	172
193	197
189	192
196	173
199	194
198	205
182	197
199	174
174	185
194	171
190	182