1. What is the value of the independent-measures $t$ statistic for a study with $n = 10$ participants in each treatment if the data produce $M = 38$ and $SS = 200$ for the first treatment, and $M = 33$ and $SS = 160$ for the second treatment? a. $t = 1.25$ b. $t = 2.50$ c. $t = 0.25$ d. $t = \frac{5}{\sqrt{20}} = 1.12$
Added by Sharon G.
Close
Step 1
Step 1: The formula for the independent-measures t statistic is: $$t = \frac{\overline{X_1} - \overline{X_2}}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}}$$ where: * $\overline{X_1}$ is the mean of the first group * $\overline{X_2}$ is the mean of the second Show more…
Show all steps
Your feedback will help us improve your experience
Dominador Tan and 87 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
'10. A random sample of n = 25 individuals is selected from a population with p 20, and a treatment is administered to each individual in the sample. After treatment; the sample mean is found to be M = 22.2 with SS = 384. a. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.) b: If there is no treatment effect; how much differ- ence is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test; this value is the denominator of the t statistic.) C. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with & = .05.'
Dominador T.
1. (a) A statistician randomly sampled 100 observations and found = 106 and s = 35. Calculate the t-statistic and p-value for testing H0: μ = 100 vs HA: μ > 100. Carry out the test at the 1% level of significance. (b) Repeat part (a), with s = 25. (c) Repeat part (a), with s = 15. (d) Discuss what happens to the t-statistic and the p-value when the standard deviation decreases. 2. Repeat Question 1 using HA: μ ≠ 100.
Sheryl E.
the following data were collected from a repeated-measures study: Treatments Participant A B C D _________________________________________ 1 6 3 3 0 ΣX2 = 332 2 4 4 2 2 G = 60 3 4 2 0 2 4 10 7 7 4 _________________________________________ T = 24 T = 16 T = 12 T = 8 SS = 24 SS = 14 SS = 26 SS = 8 Conduct the 4 steps to hypothesis testing for this data. Please include HSD post hoc tests and η2.
Oluwadamilola A.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD