Blood potassium level, continued. Judy’s measured potassium level varies according to the Normal distribution with with μ=3.8 and σ=0.2mmol/l. Let’s consider what could happen if we took 4 separate measurements from Judy. What is the blood potassium level L such that the probability is only 0.05 that the average of 4 measurements is less than L? (Hint: This requires a backward Normal calculation.)the book says about 3.64 but i got 3.28

Answers

Answer 1
Answer:

Answer:

The value of l = 3.64

Step-by-step explanation:

Consider the provided information.

μ=3.8 and σ=0.2mmol/l and n=4

As we know \mu_(\bar x)=\mu=3.8

\sigma_(\bar x)=(\sigma)/(√(n))=(0.2)/(√(4))=0.1

We have given α = 0.05

So by the standard normal table:Z_(0.05)=-1.645

Compute P(\bar{X}<l)=0.05

P(z<(l-3.8)/(0.1))=0.05

(l-3.8)/(0.1)=-1.645

l-3.8=-0.1645

l=3.64

Hence, the value of l = 3.64


Related Questions

Find the perimeter and area of the regular polygon. Round answers to the nearest tenth.
Write an equivalent expression toshow the relationship betweenmultiplication and addition,3x5
Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time it takes to produce the product using the new machine is significantly less than the production time using the old machine. To test the claim, independent random samples were taken from both machines. You are given the following results.New Machine Old MachineSample Mean 25 23Sample Variance 27 7.56Sample Size 45 36As the statistical advisor to Ajax, would you recommend purchasing Allied's machine? Explain.
A recipe for orange water says, “Mix 3 teaspoons of yellow water with 1 teaspoon red water.” For this recipe, we might say: “The ratio of teaspoons of yellow water to teaspoons of red water is 3:1.” 1. Write a ratio for 2 batches of this recipe. 2. Write a ratio for 4 batches of this recipe
What is 5 88/100 - 1 94/100

A quadratic equation is shown:x2 - 14x + 41 = 0
Which of the following is the first correct step to write the above equation in the form (x - p)2 = 9, where p and q are integers?
x2 - 14x + 41 + 8 = 0 + 8
x2 - 14x + 41 + 9 = 0 + 9
x2 - 14x + 41 - 8 = 0 - 8
x2 – 14x + 41 - 9 = 0 - 9

Answers

Answer:

The correct answer is the first option

Step-by-step explanation:

Quadratic Equation

The standard form of a quadratic equation is

ax^2+bx+c=0

Sometimes we need to change the expression of the same equation to the form

(x-p)^2=q

To accomplish that change, we usually modify the left-hand expression to make it look like the square of a binomial.

The given quadratic equation is

x^2-14x+41=0

Recall the square of a binomial is

(x-p)^2=x^2-2px+p^2

The first term is already present. The second term gives us the value of p:

-2px=-14x

Solving

p=7

Now we need to produce the third term p^2=49. We only have 41, thus we need to add 8 to both sides of the equation:

x^2-14x+41+8=0+8

The correct answer is the first option

Create and solve
an equation with
2 variables(x).

Answers

Answer:

5x-2=3x+4

x=3

Step-by-step explanation:

Hope I helped!

8=16-8n Solve for N
N=

Answers

Answer:

N=1

Step-by-step explanation:

Helppp I’ll mark brainliest

Answers

answer:

I gotdas the answer

What is the difference of rational expressions below 6x/x-3 - 5/x

Answers

Answer:

$  (6x^2-5x+15 )/(x^2-3x) $

Step-by-step explanation:

$(6x)/(x-3) -(5)/(x) $

$(6x(x))/(x(x-3)) -(5(x-3))/(x(x-3)) $

$(6x^2)/(x^2-3x) -(5x-15)/(x^2-3x) $

$  (6x^2-5x+15 )/(x^2-3x) $

Evaluate each function.k(a) = |-2a + 3| - 1; Find k(3).

g(x) = 4^2x-1 + 7; Find g(1).

f(x) = |8x^2 - 5x + 3|; Find f(-2).

h(x) = -3x + 9; Find h(-1 + x).

f(n) = 5n - 1, Find f(- 3n).

Answers

Step-by-step explanation:

k(a) = | -2a + 3 | - 1

k(3) = | -2(3) + 3 | - 1        replaced the a with 3

      = | -6 + 3 | - 1

      = | -3 | - 1

      =    3   - 1

      = 2

g(x) = 4²ˣ⁻¹ + 7

g(1) = 4²⁽¹⁾⁻¹ + 7                 replaced the x with 1

      = 4¹ + 7

      = 4 + 7

      = 11

f(x) = | 8x² - 5x + 3 |

f(-2) = | 8(-2)² - 5(-2) + 3 |        replaced the x with -2

      = | 8(4) - 10 + 3 |

      = | 12 - 10 + 3 |

      = | 5 |

      = 5

h(x) = -3x + 9

h(-1 + x) = -3(-1 + x) + 9          replaced the x with -1 + x

            = 3 - 3x + 9

            = 12 - 3x

f(n) = 5n - 1

f(-3n) = 5(-3n) - 1                 replaced the n with -3n

        = -15n - 1