Eleven employees were put under the care of the company nurse because of high cholesterol readings. The nurse lectured them on the dangers of this condition and put them on a new diet. Shown are the cholesterol readings in millimoles per litre (mmol/L) of the 11 employees both before the new diet and one month after use of the diet began. Construct a 98% confidence interval to estimate the population mean difference of cholesterol readings for people who are involved in this program. Assume differences in cholesterol readings are normally distributed in the population.

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Employee 1 2 3 4 567 8 9 10 11 Before 6.59 5.95 7.50 6.26 7.76 6.46 5.56 5.95 5.82 5.66 6.10 After 5.09 5.82 5.56 5.56 6.21 6.08 4.91 6.21 5.17 5.25 5.77