A random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 10 of them were given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 10 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 4.5, 5.9, 8.0, 9.1, 4.5, 2.1, 6.1, 6.6, 4.3, 2.2 Treated with Vitamin C 4.3, 7.2, 6.7, 5.8, 5.9, 4.0, 3.9, 4.7, 3.1, 6.1 Send data to calculator v 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 0.05 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.) H, :0 The null hypothesis: Check Save For Later Submit Assignment C2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy I Accessibility

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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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, 10 of them were
given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 10 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 4.5, 5.9, 8.0, 9.1, 4.5, 2.1, 6.1, 6.6, 4.3, 2.2
Treated with Vitamin C 4.3, 7.2, 6.7, 5.8, 5.9, 4.0, 3.9, 4.7, 3.1, 6.1
Send data to calculator v
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, H, of the patients treated with multivitamin is less than or equal to the mean recovery time l.
of the patients
who are treated with vitamin C tablets. At the 0.05 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:
H :0
Check
Save For Later
Submit Assignment
2021 McGraw-Hill Education. All Rights Reserved. Terms of Use
Privacy Accessibility
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, 10 of them were given multivitamin tablets daily which contain 1 gram of vitamin C and various other vitamins and minerals. The remaining 10 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 4.5, 5.9, 8.0, 9.1, 4.5, 2.1, 6.1, 6.6, 4.3, 2.2 Treated with Vitamin C 4.3, 7.2, 6.7, 5.8, 5.9, 4.0, 3.9, 4.7, 3.1, 6.1 Send data to calculator v 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, H, of the patients treated with multivitamin is less than or equal to the mean recovery time l. of the patients who are treated with vitamin C tablets. At the 0.05 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: H :0 Check Save For Later Submit Assignment 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy Accessibility
Suon Attempt. 1or oniimited
or recovery time rrom cola is 1.5 days wnen treated with vitamin C tablets. It is also Known that Dotn populations are approximately normally distributea. 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 0.05 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:
H :0
The alternative hypothesis:
H :0
OSO
The type of test statistic:
(Choose one)
ロォロ
O>0
The value of the test statistic:
(Round to at least three
decimal places.)
The p-vue:
(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?
O Yes
O No
Save For Later
Submit Assignme
Check
© 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy Access
ola
Transcribed Image Text:Suon Attempt. 1or oniimited or recovery time rrom cola is 1.5 days wnen treated with vitamin C tablets. It is also Known that Dotn populations are approximately normally distributea. 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 0.05 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: H :0 The alternative hypothesis: H :0 OSO The type of test statistic: (Choose one) ロォロ O>0 The value of the test statistic: (Round to at least three decimal places.) The p-vue: (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? O Yes O No Save For Later Submit Assignme Check © 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy Access ola
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