2. A sample is selected from a population with µ = 80. After a treatment is admi
ID: 3311871 • Letter: 2
Question
2. A sample is selected from a population with µ = 80. After a treatment is administered to the individuals, the sample mean is found to be M = 75 and the variance is s2 = 100.
a. If the sample has n = 25 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Conduct a single sample t-test. Use a two-tailed test with = .05 (state the critical value).
b. Write your results in two sentences with the outcome of the hypothesis test as presented in a research report.
c. Measure of effect size and include it in your results write-up.
*You can use the 4 step process for hypothesis testing as your set up to answer the question.
Please show step by step in legible writing. Please! Thank you :)
Explanation / Answer
A sample is selected from a population with µ = 80.
After a treatment is administered to the individuals, the sample mean is found to be M = 75 and the variance is s2 = 100.
. If the sample has n = 4 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with alpha = 0.05
standard error = 100 / 4 = 10/2 = 5
as the sample size is 4<30 we ought to use two-tailed t test.
One-Sample T
Test of µ = 80 vs µ 80
n = 4
Mean = 75.00
StDev = 10.00
T = -1.00
P = 0.391
As we see p-value is greater than = 0.05 the level of significance we cannot reject the null hypothesis
Thus our interpretation is that sample is not sufficient enough to conclude that the treatment has a significant effect at = 0.05 the level of significance.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.