Question

A sample is chosen from a population with y = 46, and a treatment is then administered to the sample. After treatment, the sample mean is M = 47 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen's d?

190

likes
952 views

Answer to a math question A sample is chosen from a population with y = 46, and a treatment is then administered to the sample. After treatment, the sample mean is M = 47 with a sample variance of s2 = 16. Based on this information, what is the value of Cohen's d?

Expert avatar
Esmeralda
4.7
101 Answers
To calculate Cohen's d, we need the population mean, the sample mean, and the pooled standard deviation.

Given:
Population mean: $\mu = 46$
Sample mean: $\bar{X} = 47$
Sample variance: $s^2 = 16$

To calculate the pooled standard deviation, we can use the formula:

$$s_p = \sqrt{\frac{(n_1-1)s_1^2 + (n_2-1)s_2^2}{n_1 + n_2 - 2}}$$

where $n_1$ and $n_2$ are the sample sizes, and $s_1$ and $s_2$ are the sample standard deviations.

Since we only have information for one sample, we can use the sample variance as an estimate for the population variance:

$$s^2 \approx \sigma^2$$

Substituting the given values in the formula, we have:

$$s_p = \sqrt{\frac{(n-1)s^2}{n-1}} = s$$

where $n$ is the sample size.

Therefore, the pooled standard deviation is equal to the sample standard deviation:

$$s_p = s = \sqrt{16} = 4$$

Now we can calculate Cohen's d, which is the difference between the sample mean and the population mean, divided by the pooled standard deviation:

$$d = \frac{\bar{X} - \mu}{s_p} = \frac{47 - 46}{4} = \frac{1}{4} = 0.25$$

Answer: The value of Cohen's d is 0.25.

Frequently asked questions (FAQs)
Question: Solve for x: 3(x + 2) - 5 = 4(x - 1) + 7
+
Question: What is the limit of (x^2 + 3x - 4) / (x^3 - 1) as x approaches 1?
+
Question: Solve for x: log(x) + log(2) = log(20) + log(25)
+
New questions in Mathematics
what is 3% of 105?
I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.
In a store there are packets of chocolate, strawberry, tutti-frutti, lemon, grape and banana sweets. If a person needs to choose 4 flavors of candy from those available, how many ways can they make that choice?
The sum of two numbers is 6, and the sum of their squares is 28. Find these numbers exactly
4x567
Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)
Desarrolla (2x)(3y + 2x)5
A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall
7=-4/3y -1
Use the power rule for logarithms to solve the following word problem exactly. If you invest $1, 000 at 5% interest compounded annually, how many years will it take before you have $2,000?
The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of ​​the triangle!
The sick-leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. Find the probability that the sick-leave time of an employee in a month exceeds 130 hours.
In measuring the internal radius of a circular sewer the measurement is 2% too large. If this measurement is then used to calculate the circular cross-sectional area of the pipe: Determine, by using the binomial theory, the percentage error that will occur compared to the true area.
Write the equation of the line that is parallel to y= 4x-7 and has a y- intercept at (0,5)
7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?
1. The cost to transport 250 packages of cement 120 kilometers is $600. What will be the cost to transport 500 packages 300 kilometers?
Convert (324)𝑓𝑖𝑣𝑒 into base-ten
The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?
Paul invites 12 friends to his birthday. He wants to give 15 candies to everyone two. The candies are sold in packs of 25. How many should he buy? packages?
(3.1x10^3g^2)/(4.56x10^2g)