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Alik [6]
3 years ago
14

Determine whether the study depicts an observational study or an experiment. Thirty university students are divided into two gro

ups. One group receives free tutoring in mathematics comma the other doesn't. After one semester comma scores on final mathematical examinations are compared.
Mathematics
1 answer:
alex41 [277]3 years ago
6 0

Answer:

The provided study is an experiment.

Step-by-step explanation:

Consider the provided information.

Observational study: In this study observer only observe the subjects, and measure variables of interest without allocating treatments to subjects.

For example: you want to examine the  side effect of smoke on lung.

Experiment study:The researchers are applying treatments to experimental units in the research, then the effect of the treatments on the experimental units is observed.

For example: Flipping a coin

Now consider the provided information:

Thirty university students are divided into two groups. One group receives free tutoring in mathematics comma the other doesn't. After one semester comma scores on final mathematical examinations are compared.

Here, the researcher applying treatment to experimental units.

Thus, the provided study is an experiment.

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AB and CD are the same length

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Sydney has a rectangular pool as shown in the figure. The pool is 6 feet deep throughout. mc017-1.jpg How much water is needed t
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The amount of water that is needed to fill the pool is equal to the volume of the pool.

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Is 450 divisible by 5 9 and 10
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If A store had 100 toys 2398 x more how many is that
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6 0
3 years ago
f the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many
Oksanka [162]

Answer:

n=1849

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Assuming that the proportion is estimated \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849  

And rounded up we have that n=1849

7 0
3 years ago
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