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soldier1979 [14.2K]
3 years ago
11

Any of #13-16 please?!

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
6 0

Answer:

all work is pictured and shown

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A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 student
yan [13]

Answer:

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the difference between population means is:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

The information provided is as follows:

n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43

The critical value of <em>z</em> for 98% confidence level is,

z_{\alpha/2}=z_{0.02/2}=2.326

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

     =(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)

Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

5 0
3 years ago
A recipe for lemonade calls for 1 cup of sugar and 6 cups of water. How much sugar is used per cup of water?
grandymaker [24]
The answer is 1/6, or .16666...
3 0
3 years ago
What’s the volume of the composite figure of the triangle? 4x8x12
lilavasa [31]

Answer:

384

Step-by-step explanation:

All you have to do is multiply the three numbers

5 0
3 years ago
10 - w = 1.5 Find w.​
anzhelika [568]

Answer:

8.5

Step-by-step explanation:

w is 8.5

6 0
3 years ago
Read 2 more answers
WILL MARK AS BRAINLIEST IF CORRECT!!!
gizmo_the_mogwai [7]

Answer:

C

Step-by-step explanation:

If I'm not mistaken, she wants to ride atleast 85 miles per week. If you add up all of the values from going to and from the school, you would get 62.5 miles. So for it to add up to 85 miles, she would have to atleast do 9 trips around the park.

These numbers I believe do not matter however, all you need to do is put in C for greater than or equal to 85.

4 0
3 years ago
Read 2 more answers
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