In a study, scientists used high-performance liquid chromatography to determine the amount of drug in a tablet. Twenty-five tablets were produced at each of two different, independent sites. Drug concentrations (measured as a percentage) for the tablets produced at the two sites are listed in the accompanying table. The scientists want to know whether there is any difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2. Use the accompanying technology printout to help the scientists draw a conclusion. Use a =0.05. Assuming equal variance. Click here to view the data abe Let u, be the population mean drug concentration in tablets produced at Site 1 and u2 be the population mean drug concentration in tablets produced at Site 2. Identify the null and alternative hypotheses for this test. O A. Ho: H1 -2 =0 OB. Ho: H -42 <0 H:H -2 =0 OD. Ho: H1 - H2 #0 Hại H1 - H2 =0 OC. Ho: H1 - H2 =0 Identify the value of the test statistic. O (Round to two decimal places as needed.) Identify the p-value. O (Round to three decimal places as needed.) State the conclusion for this hypothesis test, using a = 0.05. O A. Reject Ho. There is not sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2 O B. Fail to reject Ho. There is sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2. O C. Fail to reject Ho. There is not sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2. O D. Reject Ho. There is sufficient evidence to conclude that there is a difference between the mean drug concentration tablets produced at Site 1 and the corresponding mean at Site 2.
In a study, scientists used high-performance liquid chromatography to determine the amount of drug in a tablet. Twenty-five tablets were produced at each of two different, independent sites. Drug concentrations (measured as a percentage) for the tablets produced at the two sites are listed in the accompanying table. The scientists want to know whether there is any difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2. Use the accompanying technology printout to help the scientists draw a conclusion. Use a =0.05. Assuming equal variance. Click here to view the data abe Let u, be the population mean drug concentration in tablets produced at Site 1 and u2 be the population mean drug concentration in tablets produced at Site 2. Identify the null and alternative hypotheses for this test. O A. Ho: H1 -2 =0 OB. Ho: H -42 <0 H:H -2 =0 OD. Ho: H1 - H2 #0 Hại H1 - H2 =0 OC. Ho: H1 - H2 =0 Identify the value of the test statistic. O (Round to two decimal places as needed.) Identify the p-value. O (Round to three decimal places as needed.) State the conclusion for this hypothesis test, using a = 0.05. O A. Reject Ho. There is not sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2 O B. Fail to reject Ho. There is sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2. O C. Fail to reject Ho. There is not sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2. O D. Reject Ho. There is sufficient evidence to conclude that there is a difference between the mean drug concentration tablets produced at Site 1 and the corresponding mean at Site 2.
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:## Data Table
The data table below presents values for two different sites. Each column represents a series of data points collected from Site 1 and Site 2, respectively.
| Site 1 | Site 2 |
|--------|--------|
| 90.85 | 89.76 |
| 93.17 | 86.94 |
| 89.37 | 88.66 |
| 91.44 | 92.27 |
| 82.94 | 92.70 |
| 94.63 | 88.12 |
| 90.33 | 89.13 |
| 88.59 | 89.61 |
| 84.88 | 90.24 |
| 86.85 | 86.85 |
| 88.01 | 91.78 |
| 91.24 | 86.53 |
| 84.11 | 91.74 |
| 89.93 | 83.43 |
| 92.62 | 88.08 |
| 92.48 | 88.01 |
| 83.97 | 92.81 |
| 89.07 | 86.82 |
| 91.46 | 94.12 |
| 93.05 | 91.55 |
| 89.33 | 93.92 |
| 90.18 | 87.14 |
| 90.08 | 83.28 |
| 92.24 | 93.07 |
| 88.97 | 81.45 |
This dataset can be used for various statistical analyses, such as comparing the average values between the two sites or observing trends and patterns in the data.
![In a study, scientists used high-performance liquid chromatography to determine the amount of drug in a tablet. Twenty-five tablets were produced at each of two different, independent sites. Drug concentrations (measured as a percentage) for the tablets produced at the two sites are listed in the accompanying table. The scientists want to know whether there is any difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2. Use the accompanying technology printout to help the scientists draw a conclusion. Use α = 0.05. Assuming equal variance.
[Click here to view the data table]
Let μ₁ be the population mean drug concentration in tablets produced at Site 1 and μ₂ be the population mean drug concentration in tablets produced at Site 2. Identify the null and alternative hypotheses for this test.
A.
- H₀: μ₁ - μ₂ = 0
- Hₐ: μ₁ - μ₂ ≠ 0
B.
- H₀: μ₁ - μ₂ < 0
- Hₐ: μ₁ - μ₂ = 0
C.
- H₀: μ₁ - μ₂ = 0
- Hₐ: μ₁ - μ₂ > 0
D.
- H₀: μ₁ - μ₂ ≠ 0
- Hₐ: μ₁ - μ₂ = 0
Identify the value of the test statistic.
[Round to two decimal places as needed.]
Identify the p-value.
[Round to three decimal places as needed.]
State the conclusion for this hypothesis test, using α = 0.05.
A. Reject H₀. There is not sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2.
B. Fail to reject H₀. There is sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2.
C. Fail to reject H₀. There is not sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2.
D. Reject H₀. There is sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0da2036f-8bf1-44f0-a09c-54c13cf955b8%2F322db72e-3777-4cc2-9d15-290c652b3304%2F4yx36a_processed.png&w=3840&q=75)
Transcribed Image Text:In a study, scientists used high-performance liquid chromatography to determine the amount of drug in a tablet. Twenty-five tablets were produced at each of two different, independent sites. Drug concentrations (measured as a percentage) for the tablets produced at the two sites are listed in the accompanying table. The scientists want to know whether there is any difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2. Use the accompanying technology printout to help the scientists draw a conclusion. Use α = 0.05. Assuming equal variance.
[Click here to view the data table]
Let μ₁ be the population mean drug concentration in tablets produced at Site 1 and μ₂ be the population mean drug concentration in tablets produced at Site 2. Identify the null and alternative hypotheses for this test.
A.
- H₀: μ₁ - μ₂ = 0
- Hₐ: μ₁ - μ₂ ≠ 0
B.
- H₀: μ₁ - μ₂ < 0
- Hₐ: μ₁ - μ₂ = 0
C.
- H₀: μ₁ - μ₂ = 0
- Hₐ: μ₁ - μ₂ > 0
D.
- H₀: μ₁ - μ₂ ≠ 0
- Hₐ: μ₁ - μ₂ = 0
Identify the value of the test statistic.
[Round to two decimal places as needed.]
Identify the p-value.
[Round to three decimal places as needed.]
State the conclusion for this hypothesis test, using α = 0.05.
A. Reject H₀. There is not sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2.
B. Fail to reject H₀. There is sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2.
C. Fail to reject H₀. There is not sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site 1 and the corresponding mean at Site 2.
D. Reject H₀. There is sufficient evidence to conclude that there is a difference between the mean drug concentration in tablets produced at Site
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