Asked by reliana manaka on May 29, 2024
Verified
A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet.Use the sample data below to test the claim that the treatment population mean μ1 is smaller than the control population mean μ2.Test the claim using a significance level of 0.01. Treatment Group \text { Treatment Group } Treatment Group Control Group \text { Control Group } Control Group n1 = 85 n2 = 75 x1ˉ\bar { x1}x1ˉ = 189.1 x2‾\overline{x _ { 2 }}x2 = 203.7
s1 = 38.7 s2 = 39.2
Treatment Population
A group of individuals receiving the treatment or intervention in a study to assess its effectiveness.
Control Population
A group in an experimental study that does not receive the treatment and is used as a benchmark to measure how the other tested groups compare.
Significance Level
The threshold below which an observed result is considered statistically significant, usually denoted by alpha.
- Conduct and interpret t-tests for independent samples with either equal or unequal variances.
- Understand the significance level, p-values, and their role in hypothesis testing.
Verified Answer
MM
Madalyn MudrackJun 02, 2024
Final Answer :
H0: μ1- μ2 = 0 HA: μ1 - μ2 < 0 Test statistic t = -2.365,P-value = 0.00963,DF = 155.01 Reject the null hypothesis.There is sufficient evidence to support the claim that the treatment population mean μ1 is smaller than the control population mean μ2.
Learning Objectives
- Conduct and interpret t-tests for independent samples with either equal or unequal variances.
- Understand the significance level, p-values, and their role in hypothesis testing.