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Treatment | Placebo A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. H2 26 36 2.37 2.64 0.57 0.85 O C. Ho: H1=#2 O D. Ho: H1 + H2 H1: 41>H2 ZH > TrH : TH The test statistic, t, is (Round to two decimal places as needed.)

Treatment | Placebo A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. H2 26 36 2.37 2.64 0.57 0.85 O C. Ho: H1=#2 O D. Ho: H1 + H2 H1: 41>H2 ZH > TrH : TH The test statistic, t, is (Round to two decimal places as needed.)

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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identify the test statistics, p value and confidence interval. 

### Hypothesis Testing for Treatment and Placebo Groups #### Study Overview: A study was conducted to compare the effects of a treatment group and a placebo group. The results are summarized in the table below. The samples are assumed to be independent and are simple random samples drawn from normally distributed populations. It is also assumed that the population standard deviations are not equal. The significance level is set at 0.10 for both parts. #### Statistical Summary: | | Treatment (μ₁) | Placebo (μ₂) | |------------|----------------|--------------| | Sample Size (n) | 26 | 36 | | Sample Mean (x̄) | 2.37 | 2.64 | | Sample Standard Deviation (s) | 0.57 | 0.85 | #### Hypotheses: - **Option C:** - Null Hypothesis (H₀): μ₁ = μ₂ - Alternative Hypothesis (H₁): μ₁ > μ₂ - **Option D:** - Null Hypothesis (H₀): μ₁ ≠ μ₂ - Alternative Hypothesis (H₁): μ₁ < μ₂ #### Test Statistic: To calculate the test statistic, t, use the formula for the test statistic for the difference between two independent means where population standard deviations are not assumed to be equal. (Equation for the t-test statistic will be inserted here depending on the context for calculation) The test statistic, t, should be rounded to two decimal places as needed. --- This text summary provides information and hypotheses on the analysis of treatment and placebo groups. This is crucial for students in understanding the comparison and statistical inference between two independent groups.
Transcribed Image Text:### Hypothesis Testing for Treatment and Placebo Groups #### Study Overview: A study was conducted to compare the effects of a treatment group and a placebo group. The results are summarized in the table below. The samples are assumed to be independent and are simple random samples drawn from normally distributed populations. It is also assumed that the population standard deviations are not equal. The significance level is set at 0.10 for both parts. #### Statistical Summary: | | Treatment (μ₁) | Placebo (μ₂) | |------------|----------------|--------------| | Sample Size (n) | 26 | 36 | | Sample Mean (x̄) | 2.37 | 2.64 | | Sample Standard Deviation (s) | 0.57 | 0.85 | #### Hypotheses: - **Option C:** - Null Hypothesis (H₀): μ₁ = μ₂ - Alternative Hypothesis (H₁): μ₁ > μ₂ - **Option D:** - Null Hypothesis (H₀): μ₁ ≠ μ₂ - Alternative Hypothesis (H₁): μ₁ < μ₂ #### Test Statistic: To calculate the test statistic, t, use the formula for the test statistic for the difference between two independent means where population standard deviations are not assumed to be equal. (Equation for the t-test statistic will be inserted here depending on the context for calculation) The test statistic, t, should be rounded to two decimal places as needed. --- This text summary provides information and hypotheses on the analysis of treatment and placebo groups. This is crucial for students in understanding the comparison and statistical inference between two independent groups.
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