Identify the test statistics, pvalue and confidence interval. thank you ### Statistical Analysis of Treatment and Placebo Groups**Background:**A study was conducted to compare the effects between a treatment group and a placebo group. The results of the study are presented in the table below. For the analysis, assume that the two samples are independent simple random samples drawn from normally distributed populations, and do not assume that the population standard deviations are equal. Complete part (a) and part (b) as instructed. A significance level of 0.10 is used for both parts.**Table of Results:**| | Treatment (\( \mu_1 \)) | Placebo (\( \mu_2 \)) ||-----------|-------------------------|-----------------------|| Sample size (\( n \)) | 26 | 36 || Sample mean (\( \bar{x} \)) | 2.32 | 2.68 || Sample standard deviation (\( s \)) | 0.68 | 0.96 |### HypothesesThe hypotheses to be tested are:- \( H_0 \): \( \mu_1 = \mu_2 \) (Null hypothesis: The means are equal)- \( H_1 \): \( \mu_1 \neq \mu_2 \) (Alternate hypothesis: The means are not equal)### Test StatisticTo conduct the hypothesis test, we need to determine the test statistic, \( t \). \[ t = \boxed{\ } \]*(Please round to two decimal places as needed.)*### Instructions for Use:1. Input your data into the statistical formulas to compute the test statistic.2. Compare the computed test statistic to the critical value from the \( t \)-distribution corresponding to the significance level (0.10) and degrees of freedom.3. Based on the comparison, decide whether to reject or fail to reject the null hypothesis.### Discussion:- Discuss the importance of the assumptions in performing the statistical test.- Explain the implications of the test outcome for understanding the difference between the groups in the context of the study.This transcription is intended for use on an educational website to aid students and researchers in understanding the process of hypothesis testing with independent samples from normally distributed populations.

Name: Identify the test statistics, pvalue and confidence interval. thank yo
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Identify the test statistics, pvalue and confidence interval. thank you ### Statistical Analysis of Treatment and Placebo Groups**Background:**A study was conducted to compare the effects between a treatment group and a placebo group. The results of