Question
In: Statistics and Probability
A sample of n = 16 individuals is selected from a population with µ = 30....
A sample of n = 16 individuals is selected from a population with µ = 30. After a treatment is administered to the individuals, the sample mean is found to be M = 33. A. Assume that the sample variance is s2 = 16. Compute a single sample t-test to evaluate if the treatment produced a significant effect and calculate r2 to measure the size of the treatment effect. Use a two-tailed test with α = .05. B. Now, assume that the sample variance is s2 = 64,. Compute a single sample t-test to evaluate if the treatment was effective and calculate r2 to measure the size of the treatment effect. Use a two-tailed test with α = .05. (Note: in order to receive full credit for part A & B of this question you must show all computational steps, the critical t value for the decision regarding the null hypothesis and the final conclusion reported in APA style format, see example of conclusion on the PowerPoint slides)
Solutions
Expert Solution
Answer:
a)Test for Single Mean:
Effect Size which is medium effect
b)Test for single mean:
Effect Size:
orchestra answered 2 years agoRelated Solutions
A sample of n = 16 individuals is selected from a population with µ = 30....
A sample of n = 16 individuals is selected from a population
with µ = 30. After a treatment is administered to the individuals,
the sample mean is found to be M = 33. A. Assume that the sample
variance is s2 = 16. Compute a single sample t-test to evaluate if
the treatment produced a significant effect and calculate r2 to
measure the size of the treatment effect. Use a two-tailed test
with α = .05. B. Now, assume...
A sample of n = 16 individuals is selected from a population with µ = 30....
A sample of n = 16 individuals is selected from a population
with µ = 30. After a treatment is administered to the individuals,
the sample mean is found to be M = 33. a. If the sample variance is
s2 = 16, 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 α = .05. b. If the
sample variance is s2...
A sample of n = 9 individuals is selected from a population with µ = 50....
A sample of n = 9 individuals is selected from a population with
µ = 50. After a treatment is administered to the individuals, the
sample mean is found to be M = 54. The sums of squares is SS =72.
The researchers want to address whether the obtained sample mean is
different from the population mean at α = .05, two-tailed.
a. Following the steps of a hypothesis test,
determine whether the obtained sample mean is different from the...
A sample of n=28 individuals is randomly selected from a population with a mean of µ=...
A sample of n=28 individuals is randomly selected from a
population with a mean of µ= 63, and a treatment is administered to
the individuals in the sample. After treatment, the sample mean is
found to be M=68.
a. If the sample variance = 96, are the data sufficient to reject
the null and conclude that the treatment has a significant effect
using a two-tailed test with alpha = .05? Be sure to show all
formulas with symbols (and plug...
Question 31 2 pts A sample of n = 16 individuals is selected from a population...
Question 31 2 pts
A sample of n = 16 individuals is selected from a population
with µ = 30. After a treatment is administered to the individuals,
the sample mean is found to be M = 33.
If the sample variance is s2 = 16, then conduct a hypothesis
test to evaluate the significance of the treatment effect and
calculate r2 to measure the size of the treatment effect.
Use a two-tailed test with α = .05.
A sample of n = 16 scores is obtained from a population with µ = 50...
A sample of n = 16 scores is obtained from a population with µ =
50 and σ = 16. If the sample mean is M = 58, then what is the
z-score for the sample mean?
z = - 2.00
z = +0.50
z = +2.00
z = +8.00
A researcher selects a random score from a normally distributed
population. What is the probability that the score will be greater
than z = +1.5 and less than z =...
A sample of n = 4 is selected from a population with µ = 50. After...
A sample of n = 4 is selected from a population with µ = 50.
After a treatment is administered to the individuals in the sample,
the mean is found to be M = 55 and the variance is s2= 64.
a. For a two-tailed test, what is the null hypothesis using
statistical notation?
b. For a two-tailed test, what is the alternative hypothesis
using statistical notation?
c. What is the estimated standard error?
d. What is the value/s for...
6.A sample of n = 16 scores is obtained from a population with µ = 50...
6.A sample of n = 16 scores is obtained from a
population with µ = 50 and σ = 16. If the sample mean is M = 58,
then what is the z-score for the sample mean?
z = - 2.00
z = +0.50
z = +2.00
z = +8.00
7.A researcher selects a random score from a normally
distributed population. What is the probability that the score will
be greater than z = +1.5 and less than z =...
A sample of 16 individuals is selected from a population with μ = 75. A treatment...
A sample of 16 individuals is selected from a population with μ
= 75. A treatment is administered to the sample. After treatment, M
= 82 and s2 = 64.
1. Find the 90% confidence interval.
2. Find the 95% confidence interval.
3. What happens to the width of the interval when you increase
the level of confidence (the percent confidence)?
4. Does the confidence interval always include the population
mean, sample mean, or both?
Suppose a random sample of n = 16 observations is selected from a population that is...
Suppose a random sample of n = 16 observations is selected from
a population that is normally distributed with mean equal to 105
and standard deviation equal to 11. (use SALT)
(a) Give the mean and the standard deviation of the sampling
distribution of the sample mean
x.
mean
standard deviation
(b) Find the probability that x exceeds 109. (Round your
answer to four decimal places.)
(c) Find the probability that the sample mean deviates from the
population mean μ...
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