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vlada-n [284]
3 years ago
13

Help on number 5 please

Mathematics
1 answer:
Llana [10]3 years ago
5 0
What is the answer I can help but first what is the answer?
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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
Which of the following expressions is equivalent to the expression 2(7x+3)
Ira Lisetskai [31]

Answer:

14x+6 and (7x+7)+(3+3)

Step-by-step explanation:

4 0
3 years ago
Double a number is equal to the number decreased by five?
kotegsom [21]
2n=n-5  subtract n from both sides

n=-5

check...

2(-5)=(-5)-5

-10=-10
6 0
3 years ago
Jonna needs to travel 496 miles in 8 hours. How fast does she need to go in order to reach her destination on time?
Mkey [24]

Answer:62

Step-by-step explanation:

3 0
3 years ago
Which operation results in a binomial? (3y ^ 6 + 4) (9y ^ 12 - 12y ^ 6 + 16)
AleksAgata [21]

Step-by-step explanation:

Given the expression, (3y ^ 6 + 4)  (9y ^ {12} - 12y ^ 6 + 16), we want to know which sign placed in between the two polynomial will produce a binomial.

Using a plus (+) sign to check:

= (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\=  (3y ^ 6 + 4) + (9y ^ {12} - 12y ^ 6 + 16)\\collect \ like \ terms\\= 9y^{12} +3y^6 - 12y^6 + 16+ 4\\= 9y^{12} - 9y^6 + 20\\

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

Using a plus (-) sign to check:

= (3y ^ 6 + 4) - (9y ^ {12} - 12y ^ 6 + 16)\\=  3y ^ 6 + 4 - 9y ^ {12} + 12y ^ 6 - 16\\collect \ like \ terms\\= -9y^{12} +3y^6 +12y^6 + 4-16\\= -9y^{12} +15y^6 -12\\

From the gotten value, it can be seen that the resulting answer produces 3 terms, showing that it results in a trinomial instead of binomial.

<em>Hence none of the operations given results in a binomial</em>

3 0
2 years ago
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