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A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 25 of them were given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 25 volunteers were given tablets only containing 4 grams of vitamin C. For each individual, the length of time taken to recover from cold is recorded. At the end of the experiment the following data are obtained: Days to recover from cold Treated with 6.0, 3.1, 3.6, 5.6, 6.7, 7.7, 3.8, 5.2, 3.5, 1.4, 4.6, 2.8, 8.7, 4.9, 5.8, 6.5, 7.2, 5.7, 8.3, 6.3, 5.3, 7.0, 3.1, multivitamin 6.7, 4.3 7.0, 4.4, 3.5, 4.9, 5.7,4.6, 2.5, 3.0, 3.7, 3.1, 7.4, 4.2, 3.8, 4.1, 4.4, 3.1, 5.9, 4.6, 4.7, 2.7, 4.5, 2.6, 4.3, Treated with Vitamin C 1.4, 2.3 Send data to calculator v Send data to Excel It is known that the population standard deviation of recovery time from cold is 1.8 days when treated with multivitamin, and the population standard deviation of recovery time from cold is 1.5 days when treated with vitamin C tablets. It is also known that both populations are approximately normally distributed. The researchers claim that the mean recovery time, u, of the patients treated with multivitamin is less than or equal to the mean recovery time u,, of the patients who are treated with vitamin C tablets. At the 0.1 level of significance, is there enough evidence to reject this claim? Perform a one-tailed test. Then fill in the table below.

A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 25 of them were given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 25 volunteers were given tablets only containing 4 grams of vitamin C. For each individual, the length of time taken to recover from cold is recorded. At the end of the experiment the following data are obtained: Days to recover from cold Treated with 6.0, 3.1, 3.6, 5.6, 6.7, 7.7, 3.8, 5.2, 3.5, 1.4, 4.6, 2.8, 8.7, 4.9, 5.8, 6.5, 7.2, 5.7, 8.3, 6.3, 5.3, 7.0, 3.1, multivitamin 6.7, 4.3 7.0, 4.4, 3.5, 4.9, 5.7,4.6, 2.5, 3.0, 3.7, 3.1, 7.4, 4.2, 3.8, 4.1, 4.4, 3.1, 5.9, 4.6, 4.7, 2.7, 4.5, 2.6, 4.3, Treated with Vitamin C 1.4, 2.3 Send data to calculator v Send data to Excel It is known that the population standard deviation of recovery time from cold is 1.8 days when treated with multivitamin, and the population standard deviation of recovery time from cold is 1.5 days when treated with vitamin C tablets. It is also known that both populations are approximately normally distributed. The researchers claim that the mean recovery time, u, of the patients treated with multivitamin is less than or equal to the mean recovery time u,, of the patients who are treated with vitamin C tablets. At the 0.1 level of significance, is there enough evidence to reject this claim? Perform a one-tailed test. Then fill in the table below.

MATLAB: An Introduction with Applications
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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The null hypothesis: H. :|| The alternative hypothesis: H :0 1 The type of test statistic: (Choose one) v The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we reject the researchers' claim that the mean recovery time when treated with multivitamin is less than or equal to the mean recovery time when treated with vitamin C only? Yes No
Transcribed Image Text:The null hypothesis: H. :|| The alternative hypothesis: H :0 1 The type of test statistic: (Choose one) v The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we reject the researchers' claim that the mean recovery time when treated with multivitamin is less than or equal to the mean recovery time when treated with vitamin C only? Yes No
A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 25 of them were given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 25 volunteers were given tablets only containing 4 grams of vitamin C. For each individual, the length of time taken to recover from cold is recorded. At the end of the experiment the following data are obtained: Days to recover from cold Treated with 6.0, 3.1, 3.6, 5.6, 6.7, 7.7, 3.8, 5.2, 3.5, 1.4, 4.6, 2.8, 8.7, 4.9, 5.8, 6.5, 7.2, 5.7, 8.3, 6.3, 5.3, 7.0, 3.1, multivitamin 6.7, 4.3 7.0, 4.4, 3.5, 4.9, 5.7, 4.6, 2.5, 3.0, 3.7, 3.1, 7.4, 4.2, 3.8, 4.1, 4.4, 3.1, 5.9, 4.6, 4.7, 2.7, 4.5, 2.6, 4.3, Treated with Vitamin C 1.4, 2.3 Send data to calculator v Send data to Excel It is known that the population standard deviation of recovery time from cold is 1.8 days when treated with multivitamin, and the population standard deviation of recovery time from cold is 1.5 days when treated with vitamin C tablets. It is also known that both populations are approximately normally distributed. The researchers claim that the mean recovery time, µ, of the patients treated with multivitamin is less | 1 than or equal to the mean recovery time u,, of the patients who are treated with vitamin C tablets. At the 0.1 level of significance, is there enough evidence to reject this claim? Perform a one-tailed test. Then fill in the table below.
Transcribed Image Text:A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 25 of them were given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 25 volunteers were given tablets only containing 4 grams of vitamin C. For each individual, the length of time taken to recover from cold is recorded. At the end of the experiment the following data are obtained: Days to recover from cold Treated with 6.0, 3.1, 3.6, 5.6, 6.7, 7.7, 3.8, 5.2, 3.5, 1.4, 4.6, 2.8, 8.7, 4.9, 5.8, 6.5, 7.2, 5.7, 8.3, 6.3, 5.3, 7.0, 3.1, multivitamin 6.7, 4.3 7.0, 4.4, 3.5, 4.9, 5.7, 4.6, 2.5, 3.0, 3.7, 3.1, 7.4, 4.2, 3.8, 4.1, 4.4, 3.1, 5.9, 4.6, 4.7, 2.7, 4.5, 2.6, 4.3, Treated with Vitamin C 1.4, 2.3 Send data to calculator v Send data to Excel It is known that the population standard deviation of recovery time from cold is 1.8 days when treated with multivitamin, and the population standard deviation of recovery time from cold is 1.5 days when treated with vitamin C tablets. It is also known that both populations are approximately normally distributed. The researchers claim that the mean recovery time, µ, of the patients treated with multivitamin is less | 1 than or equal to the mean recovery time u,, of the patients who are treated with vitamin C tablets. At the 0.1 level of significance, is there enough evidence to reject this claim? Perform a one-tailed test. Then fill in the table below.
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