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Vlada [557]
3 years ago
14

Suppose a study estimated the population mean for a variable of interest using a ​% confidence interval. If the width of the est

imated 99%confidence interval​ (the difference between the upper limit and the lower​ limit) is and the sample size used in estimating the mean is ​, what is the population standard​ deviation? The population standard deviation is nothing.
Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0

Complete Question

suppose a study estimated the population mean for a variable of interest using a 99% confidence interval. If the width of the estimated confidence interval( the difference between the upper limit and the lower limit) is 600 and the sample size used in estimating the mean is 1000, what is the population standard deviation?

Answer:

The  value is  \sigma  =  3677

Step-by-step explanation:

From the question we are told that

   The width of the 99% confidence interval is  w =  600

    The sample size is  n  =  1000

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 99) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  2.58

Generally the margin of error is mathematically evaluated as

         E = \frac{w}{2}

=>      E = \frac{600}{2}

=>      E = 300

Generally this margin of error can be mathematically represented as

       E = Z_{\frac{\alpha }{2} }  *  \frac{\sigma}{\sqrt{n} }

=>    300 =  2.58   *  \frac{\sigma}{\sqrt{1000} }

=>   \sigma  =  3677

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Answer:

The length of the rectangular playing field is 84 yards and the width is 44 yards

Step-by-step explanation:

Let

x ------> the length of the rectangular playing field

y -----> the width of the rectangular playing field

we know that

The perimeter of the rectangular playing field is equal to

P=2(x+y)

P=256\ yd

so

256=2(x+y) ------> equation A

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Solve the system by substitution

Substitute equation B in equation A and solve for y

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3 years ago
Describe two different strategies you could use to solve 16+35+24+14
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Answer:

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Step-by-step explanation:

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