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yKpoI14uk [10]
3 years ago
6

I'm really confused I'm not that good in math

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer:

pretty sure it's -4.5

Step-by-step explanation:

idk mate, just used calculator

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Researchers are interested in the effect of a certain nutrient on the growth rate of plant seeding. Use a hydroponics grow proce
Rashid [163]

Answer:

The 95% confidence interval for the mean would be given by (56.604;68.596)

The 99% confidence interval for the mean would be given by (53.196;72.004)

Step-by-step explanation:

1) Previous concepts

When we compute a confidence interval for the mean, we are interested on the parameter population mean, and we use the info from the sample to estimate this parameter.

2) Basic operations

The sample mean can be calculated with the following formula

\sum_{i=1}^n \frac{x_i}{n}

Using excel we can use this function to calculate the mean:

=AVERAGE(54.2,59.8,61.8,63.3,65.1,71.4)

The value obtained is \bar X=62.6

In order to find the sample deviation we can use this formula

s=\sqrt{\sum_{i=1}^n \frac{(x_i-\bar X)^2}{n-1}}

And using excel we can use this function to calculate the sample standard deviation:

=STDEV.S(54.2,59.8,61.8,63.3,65.1,71.4)

The value obtained is s=5.713

The sample size for this case is n=6, n<30 so then is better use the t distribution to calculate the margin of error. First we need to calculate the degrees of freedom, on this case df=n-1=6-1=5

The formula for the confidence interval would be given by:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

3) Part a

If we want a 95% or 0.95 of confidence, then the value for the signficance is \alpha=1-0.95=0.05, and \alpha/2=0.025, and 1-\frac{\alpha}{2}=0.975 so we can find the critical t value with the following formula in excel:

=T.INV(0.975,5)

And we got t_{\alpha/2}= 2.571

And we can replace into equation (1) and we got:

62.6 \pm 2.571\frac{5.713}{\sqrt{6}}

And using excel with the following formulas we got:

=62.6-2.571*(5.713/SQRT(6)) = 56.604

=62.6+2.571*(5.713/SQRT(6)) = 68.596

So the 95% confidence interval for the mean would be given by (56.604;68.596)

4) Part b

If we want a 99% or 0.99 of confidence, then the value for the signficance is \alpha=1-0.99=0.01, and \alpha/2=0.005, and 1-\frac{\alpha}{2}=0.995 so we can find the critical t value with the following formula in excel:

=T.INV(0.995,5)

And we got t_{\alpha/2}= 4.032

And we can replace into equation (1) and we got:

62.6 \pm 4.032\frac{5.713}{\sqrt{6}}

And using excel with the following formulas we got:

=62.6-4.032*(5.713/SQRT(6)) = 53.196

=62.6+4.032*(5.713/SQRT(6)) = 72.004

So the 99% confidence interval for the mean would be given by (53.196;72.004)

8 0
3 years ago
I NEED HELP PLEASE, THANKS! :)
ICE Princess25 [194]

Answer:  G ∩ M = {Anael, Max}

G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}

<u>Step-by-step explanation:</u>

intersection ∩ - items found in BOTH sets

union U - the joining of the sets. include EVERYTHING in the sets.

G = (Acel, Acton, <u>Anael,</u> Carl, Dario, <u>Max</u>}

S = {<u>Anael</u>, Barek, Bay, Carlin, Kai, <u>Max</u>}

G ∩ S: Anael and Max are found in both sets

G = (Acel, Acton, Anael<u>,</u> Carl, Dario, <u>Max}</u>

S = {Acton, Anael, Barek,  Carlin, Dario, Kai}

G U S: include everything in G and everything in S. If found in both sets, only list it once.

G U S = {Acel, Acton, Anael, Barek, Carl, Carlin, Dario, Kai, Max}

    Notice that Acton and Anael are in both sets but we only list them once.

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3 years ago
What is the slope below
raketka [301]

Answer:

-1

Step-by-step explanation:

We can find the slope by change in y of change in x

change in y

---------------------

change in x

The y changes  -3  ( goes down 3)

the x changes +3 ( to the right 3)

-3

----

3

This simplifies to -1

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olganol [36]
2 peach pies = 10 cups 10 divided by 2(peach pies) = 5 cups per pie.
so we need to make 9 pies. so now basic math 9x5= 45, so 45 cups for 9 peach pies.
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3 years ago
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Which of the following is most likely to be a relative maximum for this graph? the points are (-1,0) (2,0) and (4,0) A. (0.5, -8
Anit [1.1K]

The correct answer is B. (3,4)

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3 years ago
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