Cholesterol is an established risk factor for developing heartdisease.   Among older age groups, men tend to have lowercholesterol than women on average but the same is not necessarilytrue for younger age groups.   The data provided is asample of cholesterol levels from blood tests among universitystudents under the age of 30.   The gender of eachstudent is also recorded.  

1. Test whether, in this age group, there is a significantdifference between the cholesterol for men and women.  In particular:

1. State the null and alternate hypothesis
2. Calculate the test statistic
3. State the p-value (accurate to four decimal places)
4. Should the null hypothesis be rejected?
5. What do you conclude regarding the cholesterol of men and womenunder the age of 30?

2. Find a 90% confidence interval for the mean cholesterol forwomen under 30 using the sample provided.   Show yourworkings and provide answers accurate to four decimal places.
3. Would the 90% confidence interval for the mean cholesterol formen under 30 be wider or narrower than your answer in b). Explain,without calculating the confidence interval.CholesterolGender

   174	Female
   177	Female
   178	Female
   178	Female
   179	Female
   180	Female
   180	Female
   182	Female
   182	Female
   182	Female
   183	Female
   184	Female
   184	Female
   185	Female
   185	Female
   185	Female
   186	Female
   187	Female
   188	Female
   188	Female
   189	Female
   189	Female
   190	Female
   190	Female
   190	Female
   191	Female
   192	Female
   192	Female
   193	Female
   193	Female
   194	Female
   195	Female
   195	Female
   195	Female
   197	Female
   197	Female
   197	Female
   197	Female
   198	Female
   198	Female
   198	Female
   199	Female
   199	Female
   201	Female
   202	Female
   174	Male
   180	Male
   181	Male
   182	Male
   186	Male
   187	Male
   187	Male
   188	Male
   188	Male
   188	Male
   188	Male
   189	Male
   189	Male
   189	Male
   190	Male
   190	Male
   191	Male
   191	Male
   192	Male
   192	Male
   193	Male
   193	Male
   194	Male
   194	Male
   194	Male
   194	Male
   195	Male
   195	Male
   196	Male
   196	Male
   196	Male
   197	Male
   198	Male
   198	Male
   198	Male
   199	Male
   199	Male
   199	Male
   200	Male
   202	Male
   203	Male
   204	Male
   204	Male
   205	Male
   207	Male