As part of a research program for a new cholesterol drug, a pharmaceutical company would like to investigate the relationship between the ages and LDL (low-density lipoprotein) cholesterol of men. The following data set shows the ages and LDL cholesterol levels of seven randomly selected men. Construct a 95% confidence interval to estimate the average LDL cholesterol level of a 29-year-old man. Click the icon to view the data table. Determine the upper and lower limits of the confidence interval. UCL = LCL = (Round to one decimal place as needed.) Data Table Age 23 37 27 31 42 31 41 Cholesterol 140 179 160 199 155 142 208
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First, we need to find the linear regression equation for the given data. To do this, we need to find the correlation coefficient (r), the slope (b), and the y-intercept (a). Show more…
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High Cholesterol: A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in milligrams per deciliter, were measured before and after treatment for each individual, with the following results: Individual Before After 1 271 216 2 236 210 3 275 174 4 262 219 5 254 178 6 241 222 7 276 190 8 286 188 Construct a confidence interval for the mean reduction in cholesterol level. Let represent the cholesterol level before treatment minus the cholesterol level after. Use tables to find the critical value and round the answers to at least one decimal place. A confidence interval for the mean reduction in cholesterol level is .
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'A pharmaceutical company has developed a new drug which they believe will reduce cholesterol levels. 21 patients were randomly assigned to the treatment group (receive new drug) Another 23 patients were assigned to the control group (received existing drug). The "before" cholesterol value for each patient was recorded; then the "after" cholesterol value, and finally the total cholesterol reduction for each patient was recorded. Here is the data: x(bar) Treatment group (new drug) 21 22.45 7.99 Control group (old drug) 23 18.52 7.15 Calculate a 90% confidence interval for the difference in reduction of cholesterol between these two drugs Use Option 1 (technology) for degrees of freedom and round to three decimal places. The lower bound of confidence interval is:'
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High Cholesterol: A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in milligrams per deciliter, were measured before and after treatment for each individual, with the following results: Individual Before After 1 237 200 2 282 208 3 278 178 4 297 212 5 243 174 6 228 201 7 298 189 8 269 185 (a) Construct a 99.9% confidence interval for the mean reduction in cholesterol level. Let d represent the cholesterol level before treatment minus the cholesterol level after. Use tables to find the critical value and round the answers to at least one decimal place. A 99.9% confidence interval for the mean reduction in cholesterol level is < μd < .
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