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Pani-rosa [81]
3 years ago
9

normally distributed with an unknown population mean and a population standard deviation of 4.5 points. A random sample of 45 sc

ores is taken and gives a sample mean of 84. Find a 90% confidence interval
Mathematics
1 answer:
shusha [124]3 years ago
3 0

Answer:

= ( 82.90, 85.10) points

Therefore at 90% confidence interval (a,b)= ( 82.90, 85.10) points

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 84

Standard deviation r = 4.5

Number of samples n = 45

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

84+/-1.645(4.5/√45)

84+/-1.645(0.670820393249)

84+/-1.10

= ( 82.90, 85.10) points

Therefore at 90% confidence interval (a,b)= ( 82.90, 85.10) points

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Can a triangle be formed with the side lenghts of 8cm, 4cm, and 12cm
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What is the cost of 4 pairs of Nikes if each pair is $365.68 along with 120 peaches that each cost $9.00? Help giving away 30 po
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$2542.72 for everything

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Pls Helps LOTS OF POINTS!
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<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

To find the scale factor, all you have to do is <em>divide a side value of one figure by its congruent side value on another figure. </em>

Step-by-step explanation:

To start:

  • The values 15 and 10 are both for the same congreunt side --> EF and E'F'
  • The values 4 and 6 are both for the same congreunt side --> DE and D'E'
  • The values 4 and 6 are both for the same congreunt side --> DG and D'G'
  • The values 8 and 12 are both for the same congreunt side --> FG and F'G'

So, to find the scale factor, all you have to do is divide the smaller congruent value from the larger congruent value.

Larger congruent value ÷ smaller congruent value = scale factor

              15                      ÷                10                        = scale factor

              \____________________/

                                    1.5

<h3>So, the scale factor is 1.5</h3>

To double check, we will use another congruent side to find the scale factor:

12 ÷ 8 = scale factor

1.5      = scale factor

<h3>So, the scale factor is most definitely 1.5</h3>

I hope this helps!

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