A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample mean is μ = 48 with a sample variance of σ² = 16. Based on this information, what is the value of Cohen’s d?

1 answer

Question:

A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample mean is μ = 48 with a sample variance of σ² = 16. Based on this information, what is the value of Cohen’s d?

Answer:0.5Step-by-step explanation:Solution:-- The sample mean before treatment, μ1 = 46 - The sample mean after treatment, μ2 = 48- The sample standard deviation σ = √16 = 4- For the independent samples T-test, Cohen's d is determined by calculating the mean difference between your two groups, and then dividing the result by the pooled standard deviation. Cohen's d = [tex]\frac{u2 - u1}{sd_p_o_o_l_e_d}[/tex]- Where, the pooled standard deviation (sd_pooled) is calculated using the formula: [tex]sd_p_o_o_l_e_d =\sqrt{\frac{SD_1^2 +SD_2^2}{2} }[/tex]- Assuming that population standard deviation and sample standard deviation are same: SD_1 = SD_2 = σ = 4- Then, [tex]sd_p_o_o_l_e_d =\sqrt{\frac{4^2 +4^2}{2} } = 4[/tex]- The cohen's d can now be evaliated: Cohen's d = [tex]\frac{48 - 46}{4} = 0.5[/tex]

The frequency of wave A is 250 hertz and the wavelength is 30 centimeters. The frequency of wave B is
260 hertz and the wavelength is 25 centimeters. Which is the faster wave?...

Johnny is an actor, but hadn’t had much luck in landing any gigs. He started eating healthy and exercising to cope with the stress. He was offered the lead in a play shortly afterwards, and he knew it was because of his new physique. He currently runs 5 miles every morning and goes to the gym for ...

It costs Chevrolet $20,000,000 to develop and market a
new model of a car. The company sells this car model
for $25,000 each. How many cars must Chevrolet sell
in order to profit more than $5,000,000?...

Bryce spent x hours working on homework. He also spent 2x hours playing video
games, and 1/2x hours watching television. If he spent 140 hours each week
doing these three things, how much time did he spend just on homework The length of a rectangle is 5 less than twice its width. The perimeter is 26...

write an equation for the problem and solve the problem. How much 15% solution and how much 45% solution should be combined to make 30 liters of 35% solution?...

PLEASE HELP FOR TEST TO GET GRADE TO PASSING
1.] The pool below is surrounded by 1-foot square rectangular tiles.
a. [] Write an expression that can represent the number of tiles x to
surround (PERIMETER) the pool.
Expression
b. [] Write another equivalent expression that can also represent the
num...

ΔABC ~ ΔDEC. ∠1 and ∠2 have the same measure. Find DC and. DE (Hint: Let DC = x and AC =x+66.)Use the figure shown.DC is ___ unit(s) long.(Round to the nearest tenth as needed.) ...