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Xelga [282]
3 years ago
6

Plz help!!! Plz!!! Plz!!! Help!!!!!

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0
Online calculator bud
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The amount of money spent on textbooks per year for students is approximately normal.
Ostrovityanka [42]

Answer:a

a

   336.04    <  \mu < 443.96

b

  The  margin of error will increase

c

The  margin of error will decreases

d

The 99% confidence interval is  0.4107 <  p  < 0.4293

Step-by-step explanation:

From the question we are  told that

   The sample size  n =  19

    The sample mean is  \= x  = \$\  390

    The  standard deviation is  \sigma =  \$ \  120

 

Given that the confidence level is  95% then the level of significance is mathematically represented as

           \alpha = 100 -  95

          \alpha  =  5 \%

          \alpha  =  0.05

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table

    So  

         Z_{\frac{\alpha }{2} } =  1.96

The  margin of error is mathematically represented as

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

=>    E = 1.96 *  \frac{120}{\sqrt{19} }

=>   E = 53.96

The 95% confidence interval is  

     \= x  -  E  <  \mu < \= x  +  E

=>   390  -   53.96   <  \mu < 390  -   53.96

=>  336.04    <  \mu < 443.96

When the confidence level increases the Z_{\frac{\alpha }{2} } also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

         n  \  \ \alpha  \ \  \frac{1}{E^2 }

So if the sample size increases the margin of error decrease

The  sample proportion is mathematically represented as

       \r p  =  \frac{210}{500}

       \r p  = 0.42

Given that the confidence level is 0.99 the level of significance is  \alpha =  0.01

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

      Z_{\frac{\alpha }{2} }  =  2.58

  Generally the margin of error is mathematically represented as

       E =  Z_{\frac{\alpha }{2} }*  \sqrt{ \frac{\r p (1- \r p )}{n} }

=>   E =  0.42 *  \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }

=>     E =  0.0093

The 99% confidence interval  is

     \r p  -  E <  p  < \r p  +  E

     0.42  -  0.0093 <  p  < 0.42  +  0.0093

     0.4107 <  p  < 0.4293

 

4 0
3 years ago
Consider the system: y = 3x + 5 y = ax + b What values for a and b make the system inconsistent? What values for a and b make th
AnnyKZ [126]
<span>When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.</span>
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3 years ago
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Is 6.52 equal to 6.520
saveliy_v [14]
Yes it is, 6.52 and 6.52 are the same but one has an extra 0.
5 0
3 years ago
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Find the missing angle measure for the quadrilaterals below.
nydimaria [60]

Answer:

1. = 99 degrees   2. = 85 degrees

Step-by-step explanation: All quadrilaterals have a total of 360 degrees. You can figure out the rest.

5 0
3 years ago
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Ik what it is just helping out others 1+1
antiseptic1488 [7]

The question is asking what will we get if we add 1+1.

Let us use an example to understand this.

Example:

Suppose Amy has 1 ice cream and her brother Ruth has also got one ice cream.

Now if they both finished their ice creams, how many total ice creams were finished.

So we see that 1 and 1 add up to give two ice creams and so two ice creams are finished by them both.

Applying this to our question adding 1 and 1 gives us 2.

Answer : 1+1 =2

3 0
3 years ago
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