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VLD [36.1K]
2 years ago
12

If you help me I'll mark you branliest and give five star rating​

Mathematics
1 answer:
Olenka [21]2 years ago
8 0

Answer:

See explanation for answer, hope it helps

Step-by-step explanation:

Toss; 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Total number of heads so far; 1, 1, 1, 1, 2, 3, 4, 4, 4, 5

Relative Frequency of heads so far;

\frac{1}{1} = 1.0 = 100%

\frac{1}{2} = 0.5 = 50%

\frac{1}{3} = 0.33 = 33%

\frac{1}{4} = 0.25 = 25%

\frac{2}{5} = 0.4 = 40%

\frac{3}{6} = 0.5 = 50%

\frac{4}{7} = 0.57 = 57%

\frac{4}{8} = 0.5 = 50%

\frac{4}{9} = 0.44 = 44%

\frac{5}{10} = 0.5 = 50%

Total number of tails so far; 0 1, 2, 3, 3, 3, 3, 4, 5, 5

Relative Frequency;

\frac{0}{1} = 0 = 0%

\frac{1}{2} = 0.5 = 50%

\frac{2}{3} = 0.66 = 66%

\frac{3}{4} = 0.75 = 75%

\frac{3}{5} = 0.6 = 60%

\frac{3}{6} = 0.5 = 50%

\frac{3}{7} = 0.42 = 42%

\frac{4}{8} = 0.5 = 50%

\frac{5}{9} = 0.55 = 55%

\frac{5}{10} = 0.5 = 50%

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Answer:

28-2.064\frac{10}{\sqrt{25}}=23.872    

28+2.064\frac{10}{\sqrt{25}}=32.128    

So on this case the 95% confidence interval would be given by (23.9;32.1)  

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".

\bar X=28 represent the sample mean

\mu population mean (variable of interest)

s=10 represent the sample standard deviation

n=25 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

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

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=25-1=24

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that t_{\alpha/2}=2.064

Now we have everything in order to replace into formula (1):

28-2.064\frac{10}{\sqrt{25}}=23.872    

28+2.064\frac{10}{\sqrt{25}}=32.128    

So on this case the 95% confidence interval would be given by (23.9;32.1)    

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Answer:

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

In<em> </em><em>experimental design</em>, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.

Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.

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