People with high blood pressure suffer from hypertension. A study of the lipid profiles of hypertensive patients was carried out and the results publi
Tolnaio
Answered question
2021-05-29
People with high blood pressure suffer from hypertension. A study of the lipid profiles of hypertensive patients was carried out and the results published in Biology and Medicine (Vol. 2, 2010). Data on fasting blood sugar (milligrams/deciliter) and magnesium (milligrams/deciliter) in blood specimens collected from 50 patients diagnosed with hypertension were collected. The accompanying MlNlTAB printout gives 90% confidence intervals for the mean fasting blood sugar (FBS) and mean magnesium level (MAG). a. Locate and interpret the 90% confidence interval for mean fasting blood sugar on the printout. b. Locate and interpret the 90% confidence interval for mean magnesium level on the printout. c. If the confidence level is increased to 95%, what will happen to the width of the intervals? d. If the sample of hypertensive patients is increased from 50 to 100, what will likely happen to the width of the intervals?
Answer & Explanation
Delorenzoz
Skilled2021-05-30Added 91 answers
(b) The 90 confidence interval for mean magnesium level is given in the row MAG” and in the column "90% CI” of the printout: (1.92771,1.95429) We are 90% confident that the mean magnesium level is between 1.92771 milligrams /deciliter and 1.95429.
(c) If we increase the confidence level from 90% to 95, then we are more confident that the confidence interval will contain the true population parameter and thus the confidence interval needs to contain more possible values for the true population parameter. This then implies that the confidence interval needs to be wider and thus the length of the interval increases.
(d) We are doubling the sample size and thus the sample size increases. If the sample size increases, then we contain more information about the population and thus our estimates will be more accurate. If our estimates are more accurate, then our estimate is closer to the true value of the population parameter and thus the confidence interval needs to be narrower. This then implies that the width of the interval decreases.
(a) We are 90% confident that the mean fasting blood sugar is between 93.54 milligrams/deciliter and 109.71 milligrams/deciliter. (b) We are 90% confident that the mean magnesium level is between 1.92771 milligrams/deciliter and 1.95429 milligrams /deciliter. (c) Increases (d) Decreases
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