**Investigating the Effectiveness of a Blood-Pressure Drug**In a study to investigate the effectiveness of a blood-pressure drug, an experimenter finds that on average, the reduction in systolic blood pressure is 43 mmHg for a sample of size 10, with a standard deviation of 9 mmHg.**Objective:**Estimate the average reduction in a typical patient's systolic blood pressure using a 95% confidence level.**Instructions:**1. Provide your answers to one decimal place.2. Include both the point estimate and its margin of error.**Answer Format:**(Empty boxes for students to fill in)\[ \boxed{\hspace{2cm}} \pm \boxed{\hspace{2cm}} \]**Steps for Students:**1. Determine the sample mean (\(\overline{X}\)).2. Calculate the standard error (SE) using the formula: \[ SE = \frac{SD}{\sqrt{n}} \]3. Use the appropriate z-value or t-value for a 95% confidence level.4. Calculate the margin of error (ME) using: \[ ME = z \times SE \]5. Provide the point estimate and its margin of error in the format provided.This exercise helps understand confidence intervals and how they relate to estimating population parameters from sample statistics.

The following information has been given: The sample mean is x¯=43. The sample size is n=10. The…

Answered: The effectiveness of a blood-pressure…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question 9 Assume that a sample is used to estimate a population mean u. Find the 80% confidence interval for a sample of size 75 with a mean of 60.6 and a standard deviation of 21.8. Enter your answer as an open- interval (i.e., parentheses) accurate to 3 decimal places. 80% C.I. The answer should be obtained without any preliminary rounding.
In Arkansas, bass fish were collected in 30 different lakes to measure the amount of mercury in the fish. The mean amount of mercury was = 0.6443 with standard deviation s = 0.3606. Estimate the mean amount of mercury in fish in Arkansas lakes using a 95% confidence level. Round your answers to three decimal places, and use four decimal places for any interim calculations. With 95 % confidence, it can said that the true mean amount of mercury in fish in Arkansas lakes is between 0.502 x and 0.786 X Hint: Make sure you round your answer to three decimal places.
Resting pulse rates for healthy adults are found to have approximately a Normal distribution with a mean of 69 beats per minute and a standard deviation of 8.5 beats per minute. Between what two values do the central 80% of all resting pulse rates lie? what is lower value and upper value ?
Calculate the estimated standard error for the case where the sample standard deviation is 25 and the sample size 137. Answer to three decimal places if necessary, you may round up or down.
The Chancellor wants you to calculate the sample size needed with a margin of error of 15, 99% confidence, and a population standard deviation of 22.
One year, the mean age of an inmate on death row was 38.1 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 36.9, with a standard deviation of 9.8. Construct a 95% confidence interval about the mean age. What does the interval imply? A Click the icon to view the table of critical t-values. Choose the correct hypotheses. Но (Type integers or decimals. Do not round.)
You measure 33 backpacks' weights, and find they have a mean weight of 38 ounces. Assume the population standard deviation is 14.1 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight. Give your answers as decimals, to two places ± ounces
We want to estimate the average time it takes to get relief after taking a painkiller by all patients. Suppose that the population is normally distributed with a standard deviation of 23 minutes. How large a sample should be taken to estimate the population mean time to within 3 minutes with 99% confidence? Sample Size =
a laboratory tested 36 chicken eggs and found that the mean amount of the cholesterol was 230 mg with s = 20 mg. Find a 90% confidence interval for the true mean cholesterol content of an egg.

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