can you write out this formula in the form of a sentence ?

$ES=\frac{\overline{{X}_{1}}-\overline{{X}_{2}}}{s}$

$ES=\frac{\overline{{X}_{1}}-\overline{{X}_{2}}}{s}$

Litzy Downs
2022-09-30
Answered

can you write out this formula in the form of a sentence ?

$ES=\frac{\overline{{X}_{1}}-\overline{{X}_{2}}}{s}$

$ES=\frac{\overline{{X}_{1}}-\overline{{X}_{2}}}{s}$

You can still ask an expert for help

xgirlrogueim

Answered 2022-10-01
Author has **13** answers

The formula of effect size is,

$ES=\frac{\overline{{X}_{1}}-\overline{{X}_{2}}}{s}$

In the formula, $\overline{{X}_{1}}$ is the estimated first sample mean, $\overline{{X}_{2}}$ is the estimated second sample mean and s is the estimated pooled standard deviation.

The formula of effect size in a sentence can be written as, the ratio of the estimated mean difference of two samples and the estimated pooled standard deviation.

$ES=\frac{\overline{{X}_{1}}-\overline{{X}_{2}}}{s}$

In the formula, $\overline{{X}_{1}}$ is the estimated first sample mean, $\overline{{X}_{2}}$ is the estimated second sample mean and s is the estimated pooled standard deviation.

The formula of effect size in a sentence can be written as, the ratio of the estimated mean difference of two samples and the estimated pooled standard deviation.

asked 2022-05-09

Samples are taken from two different types of honey and the viscosity is measured.

Honey A:

Mean: 114.44

S.D : 0.62

Sample Size: 4

Honey B:

Mean: 114.93

S.D: 0.94

Sample Size: 6

Assuming normal distribution, test at 5% significance level whether there is a difference in the viscosity of the two types of honey?

Here's what I did:

I took my null hypothesis as $\mu $B - $\mu $A = 0 and alternative hypothesis as $\mu $B - $\mu $A $\ne $ 0

Then I did my calculations which were as following:

Test Statistic = (B -A ) - ($\mu $B - $\mu $A) / sqrt {(variance B / sample size B) + (variance A / sample size A)}

This gave me test statistic as = 0.49/0.49332 that is equal to 0.993

However the test statistic in the book solution is given as 0.91. What am I doing wrong?

Honey A:

Mean: 114.44

S.D : 0.62

Sample Size: 4

Honey B:

Mean: 114.93

S.D: 0.94

Sample Size: 6

Assuming normal distribution, test at 5% significance level whether there is a difference in the viscosity of the two types of honey?

Here's what I did:

I took my null hypothesis as $\mu $B - $\mu $A = 0 and alternative hypothesis as $\mu $B - $\mu $A $\ne $ 0

Then I did my calculations which were as following:

Test Statistic = (B -A ) - ($\mu $B - $\mu $A) / sqrt {(variance B / sample size B) + (variance A / sample size A)}

This gave me test statistic as = 0.49/0.49332 that is equal to 0.993

However the test statistic in the book solution is given as 0.91. What am I doing wrong?

asked 2022-10-29

Twenty volunteers at a cold research institute caught a cold after having been exposed to various cold viruses. Ten of the volunteers were randomly selected to receive tablets containing 1 gram of vitamin C. These tablets were taken four times a day. The control group, consisting of the other 10 volunteers, was given placebo tablets that looked and tasted exactly like the vitamin C ones. This was continued for each volunteer until a doctor, who did not know whether one volunteer was receiving vitamin C or the placebo, decided that the volunteer was no longer suffering from the cold. The length of time the cold lasted was then recorded. At the end of the experiment, the following data resulted

:The average length of cold for the ${n}_{1}=$=10 people treated with vitamin C is with a standard deviation of ${s}_{1}=$=0.76

The average length of cold for the ${n}_{2}=$=10 people receiving the placebo is with a standard deviation of ${s}_{2}=$0.85

Determine the value of the pooled standard deviation . Round your answer three decimal places.

:The average length of cold for the ${n}_{1}=$=10 people treated with vitamin C is with a standard deviation of ${s}_{1}=$=0.76

The average length of cold for the ${n}_{2}=$=10 people receiving the placebo is with a standard deviation of ${s}_{2}=$0.85

Determine the value of the pooled standard deviation . Round your answer three decimal places.

asked 2022-08-20

True or False? Assume a researcher recruits 150 African American and Caucasian individuals taking warfarin to determine if there is a difference in the mean dosage of the medication. If the mean dosage for 75 Caucasian individuals requiblack to get their INR blood test in range is 6.1 mg with a standard deviation of 1.7 mg and the mean dosage for 75 African American individuals requiblack to get their INR blood test in range is 4.3 mg with a standard deviation of 0.9 mg, the decision rule for a 10% level of significance would be to reject H0 if z $\le $ -1.645 or z $\ge $ 1.645

asked 2022-05-07

I'm trying to solve following type of combined date given question. Imagined that there's two factories. They are X and Y. "X" factory has 10 workers and "Y" has 20 workers. These two factory's production respectively given as Σx^2=2950 and ΣY^2=5000. Moreover, "X" factory mean is 18 and "Y" factory mean is 15.

If the whole population is considered as a one. How to calculate the mean and standard deviation in a situation like this one? I'm not expecting the final answer, I rather would like to know the procedure that how to solve such a question.

If the whole population is considered as a one. How to calculate the mean and standard deviation in a situation like this one? I'm not expecting the final answer, I rather would like to know the procedure that how to solve such a question.

asked 2022-06-22

I have 12 balls with mean weight of 500g, and S.D 25g. I have 5 balls with mean weight 200g and S.D 10g. If I combine all of them, is the mean just $\frac{8000}{17}$ i.e.

$8000=500\cdot 12+200\cdot 10$

and divided by 17 since there are 17 balls. What is the new S.D.? Is it just

$\sqrt{25\cdot 12+10\cdot 5}$

$8000=500\cdot 12+200\cdot 10$

and divided by 17 since there are 17 balls. What is the new S.D.? Is it just

$\sqrt{25\cdot 12+10\cdot 5}$

asked 2022-10-13

What is a pooled variance?

asked 2022-09-25

Which is greater: the sample standard deviation or the population standard deviation? Explain.