A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 15 of them were given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 15 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 multivitamin 8.1, 6.7, 7.2, 6.1, 7.5, 6.2, 6.8, 3.4, 7.4, 5.2, 4.3, 5.6, 4.4, 6.3, 3 Treated with Vitamin C 6, 5.6, 1.5, 4.2, 3.1, 4.7, 4.3, 2.7, 5, 4.7, 6.9, 2.5, 3.1, 3.8, 4.1 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, μ1 , of the patients treated with multivitamin is less than or equal to the mean recovery time μ2 , 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. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.1 level of significance: (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, 15 of them were given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 15 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 multivitamin 8.1, 6.7, 7.2, 6.1, 7.5, 6.2, 6.8, 3.4, 7.4, 5.2, 4.3, 5.6, 4.4, 6.3, 3 Treated with Vitamin C 6, 5.6, 1.5, 4.2, 3.1, 4.7, 4.3, 2.7, 5, 4.7, 6.9, 2.5, 3.1, 3.8, 4.1 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, μ1 , of the patients treated with multivitamin is less than or equal to the mean recovery time μ2 , 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. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.1 level of significance: (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

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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A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms,

of them were given multivitamin tablets daily which contain

gram of vitamin C and various other vitamins and minerals. The remaining

volunteers were given tablets only containing

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 multivitamin

8.1, 6.7, 7.2, 6.1, 7.5, 6.2, 6.8, 3.4, 7.4, 5.2, 4.3, 5.6, 4.4, 6.3, 3

Treated with Vitamin C

6, 5.6, 1.5, 4.2, 3.1, 4.7, 4.3, 2.7, 5, 4.7, 6.9, 2.5, 3.1, 3.8, 4.1

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,

μ1

, of the patients treated with multivitamin is less than or equal to the mean recovery time

μ2

, 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.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF

The value of the test statistic: (Round to at least three decimal places.)
The critical value at the 0.1 level of significance: (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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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