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tamaranim1 [39]
3 years ago
5

An experiment is conducted to compare the maximum load capacity in tons​ (the maximum weight that can be tolerated without​ brea

king) for two alloys A and B. It is known that the two standard deviations in load capacity are equal at 7 tons each. The experiment is conducted on 30 specimens of each alloy​ (A and​ B) and the results are x overbarAequals65.6​, x overbarBequals60.6​, and x overbarAminusx overbarBequals5. The manufacturers of alloy A are convinced that this evidence shows conclusively that muAgreater thanmuB and strongly supports the claim that their alloy is superior. Manufacturers of alloy B claim that the experiment could easily have given x overbarAminusx overbarBequals5 even if the two population means are equal. Complete parts​ (a) and​ (b) below.
Mathematics
1 answer:
prohojiy [21]3 years ago
7 0

Answer:

kookooo

Step-by-step explanation:

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In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95%
lions [1.4K]

Answer:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

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".  

p represent the real population proportion of interest

\aht p represent the estimated proportion for the sample

n is the sample size required (variable of interest)

z represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution  

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

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 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:  

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96  

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 0.05 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)

And replacing into equation (b) the values from part a we got:  

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

6 0
2 years ago
The size of a television screen is measured by the length of thee diagonal of the screen. What size is a television screen that
Murljashka [212]

Answer:

approximately 6.708 feet

Step-by-step explanation:

We use the Pythagorean theorem to solve the problem, using 3 feet and 6 feet as the legs of a right angle triangle. The diagonal of the screen is therefore the "hypotenuse" of this right angle triangle, and can be determined via the formula:

diagonal = \sqrt{(3\,ft)^2+(6\,ft)^2} \\diagonal = \sqrt{9\,ft^2+36\,ft^2} \\diagonal = \sqrt{45} \,ft\\diagonal = 3\,\sqrt{5} \,ft

which is approximately 6.708 feet

6 0
3 years ago
What is the perimeter of the quadrilateral?
olasank [31]

Answer:

24.6

Step-by-step explanation:

you multiply them all by two then add them together. :P

6 0
2 years ago
Read 2 more answers
4 + 3(4 - 9^0)+ 5^-3i
frutty [35]

Answer:

13.008 or 13 1/125 or 1626/125

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
N/5 + -6 = 9 <br> What is n ?
Tatiana [17]
Answer: 75

work: n/5 + -6 = 9
n/5 = 9+ 6
n/5 = 15
n = 15 x 5
n= 75
4 0
3 years ago
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