A random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 20 of them were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 20 volunteers were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained. Days to recover from flu Treated with 7.2, 5.3, 4.9, 4.4, 2.0, 4.0, 5.9, 4.9, 5.2, 7.7, 4.2, 7.3, 5.0, 7.3, 7.5, 3.0, 6.4, 6.5, 7.1, 4.6 multivitamin Treated with vitamin C Send data to calculator v 2.9, 2.7, 5.4, 3.9, 4.7, 4.0, 5.9, 2.9, 6.8, 5.8, 7.0, 4.0, 1.6, 6.0, 3.7, 3.9, 4.5, 0.4, 6.4, 0.9 Send data to Excel Suppose that it is known that the population standard deviation of recovery time from the flu is 1.8 days when treated with multivitamins and that the population standard deviation of recovery time from the flu is 1.5 days when treated with vitamin C tablets. Suppose also that both populations are approximately normally distributed. Construct a 90% confidence interval for the difference μ₁-₂ between the mean recovery time when treated with multivitamins (H₁) and the mean recovery time when treated with vitamin C only (H₂). Then find the lower limit and upper limit of the 90% confidence interval. Lower limit: Upper limit: Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) X S
A random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 20 of them were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 20 volunteers were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the experiment the following data were obtained. Days to recover from flu Treated with 7.2, 5.3, 4.9, 4.4, 2.0, 4.0, 5.9, 4.9, 5.2, 7.7, 4.2, 7.3, 5.0, 7.3, 7.5, 3.0, 6.4, 6.5, 7.1, 4.6 multivitamin Treated with vitamin C Send data to calculator v 2.9, 2.7, 5.4, 3.9, 4.7, 4.0, 5.9, 2.9, 6.8, 5.8, 7.0, 4.0, 1.6, 6.0, 3.7, 3.9, 4.5, 0.4, 6.4, 0.9 Send data to Excel Suppose that it is known that the population standard deviation of recovery time from the flu is 1.8 days when treated with multivitamins and that the population standard deviation of recovery time from the flu is 1.5 days when treated with vitamin C tablets. Suppose also that both populations are approximately normally distributed. Construct a 90% confidence interval for the difference μ₁-₂ between the mean recovery time when treated with multivitamins (H₁) and the mean recovery time when treated with vitamin C only (H₂). Then find the lower limit and upper limit of the 90% confidence interval. Lower limit: Upper limit: Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) X S
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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Transcribed Image Text:A random selection of volunteers at a research institute has been exposed to a weak flu virus. After the volunteers began to have flu symptoms, 20 of them
were given multivitamin tablets daily that contained 1 gram of vitamin C and 3 grams of various other vitamins and minerals. The remaining 20 volunteers
were given tablets containing 4 grams of vitamin C only. For each individual, the length of time taken to recover from the flu was recorded. At the end of the
experiment the following data were obtained.
Treated with
multivitamin
Treated with
vitamin C
Days to recover from flu
7.2, 5.3, 4.9, 4.4, 2.0, 4.0, 5.9, 4.9, 5.2, 7.7, 4.2, 7.3, 5.0, 7.3, 7.5, 3.0, 6.4, 6.5, 7.1, 4.6
2.9, 2.7, 5.4, 3.9, 4.7, 4.0, 5.9, 2.9, 6.8, 5.8, 7.0, 4.0, 1.6, 6.0, 3.7, 3.9, 4.5, 0.4, 6.4, 0.9
Send data to Excel
Send data to calculator
Lower limit:
Upper limit:
Suppose that it is known that the population standard deviation of recovery time from the flu is 1.8 days when treated with multivitamins and that the
population standard deviation of recovery time from the flu is 1.5 days when treated with vitamin C tablets. Suppose also that both populations are
approximately normally distributed. Construct a 90% confidence interval for the difference μ₁-₂ between the mean recovery time when treated with
multivitamins (H₁) and the mean recovery time when treated with vitamin C only (H₂). Then find the lower limit and upper limit of the 90% confidence
interval.
Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of
formulas.)
X
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