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LuckyWell [14K]
3 years ago
8

For a confidence level of 85%, find the critical value for a normally distributed variable. The sample mean is normally distribu

ted if the population standard deviation is known.
Mathematics
1 answer:
const2013 [10]3 years ago
7 0

Answer:

The  value is  Z_{\alpha } =  1.439

Step-by-step explanation:

From the question we are told that

   The  confidence level is  C  =  85%  

Generally the level of significance is mathematically represented as

         \alpha =  (100 -  85 )\%

        \alpha =  0.15

Now from the normal distribution table  the critical value  of \alpha is  

     Z_{\alpha } =  1.439

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According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.
Verdich [7]

Answer:

1. z = -1.91429

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. 2.7792%

Step-by-step explanation:

1. Relative to the WHO data, what is this girls z-score?

z score formula is:

z = (x-μ)/σ, where

x is the raw score = 44.5 cm

μ is the population mean = 47.18cm

σ is the population standard deviation = 1.40cm

z = 44.5 - 47.18/1.40

z = -1.91429

What does the z score tell us?

The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference

2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?

z score = -1.91429

Probability value from Z-Table:

P(z =-1.91429) = P(x<44.5) = 0.027792

Converting to percentage = 0.027792 × 100

= 2.7792%

6 0
3 years ago
What is the value of b in the equation 3b + 2(b − 1) = 8?
Ray Of Light [21]
<span>3b + 2(b − 1) = 8
3b + 2b - 2 = 8
5b = 10
b = 2

answer b = 2</span>
7 0
3 years ago
Read 2 more answers
M is a degree 3 polynomial with m ( 0 ) = 53.12 and zeros − 4 and 4 i . Find an equation for m with only real coefficients (i.E.
Nitella [24]

Answer:

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

Step-by-step explanation:

Given that M is a polynomial of degree 3.

So, it has three zeros.

Let the polynomial be

M(x) =a(x-p)(x-q)(x-r)

The two zeros of the polynomial are -4 and 4i.

Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.

Then,

M(x)= a{x-(-4)}(x-4i){x-(-4i)}

      =a(x+4)(x-4i)(x+4i)

      =a(x+4){x²-(4i)²}      [ applying the formula (a+b)(a-b)=a²-b²]

      =a(x+4)(x²-16i²)

      =a(x+4)(x²+16)      [∵i² = -1]

      =a(x³+4x²+16x+64)

Again given that M(0)= 53.12 . Putting x=0 in the polynomial

53.12 =a(0+4.0+16.0+64)

\Rightarrow a = \frac{53.12}{64}

      =0.83

Therefore the required polynomial is

M(x)=0.83(x³+4x²+16x+64)

5 0
3 years ago
What is the solution to 3x2 + 4x - 8 = 0?
Ber [7]

Answer:

The answer is c

Step-by-step explanation:

3 0
3 years ago
Solve for t. 3t - 18 = 4(-3-3/4t). t=
Alex73 [517]

Answer:T=1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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