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?
Derive
If X and Y have the same independent distributions with mean and variance , find
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.
Is
Use technology to find the P-Value.
You randomly survey students in your school about whether they liked a recent school play. The two-way table shows the results. Find and interpret the marginal frequencies.
You are given the sample mean and the population standard deviation. Create 90% and 95% confidence intervals for the population mean using this information. Interpret the results and compare the widths of the confidence intervals. From a random sample of 36 business days from February 24, 2016, through February 24, 2017, the mean closing price of Apple stock was $116.16. Assume the standard deviation for the population is $10.27.
Using the health records of ever student at a high school, the school nurse created a scatterplot relating y = height (in centimeters) to x = age (in years). After verifying that the conditions for the regression model were met, the nurse calculated the equation of the population regression line to be &
The area enclosed by the x and y axes has a uniform distribution of the random variables X and Y, and the curve .
Compute E. (XY)