Which situation is best modeled by the expression 1/2 x 1/6.

A veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses

Licemer1 [7]

Answer:

Probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.

Step-by-step explanation:

We are given that a veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses with colic is 12 years. The average age of all horses seen at the veterinary clinic was determined to be 10 years. The researcher also determined that the standard deviation of all horses coming to the veterinary clinic is 8 years.

So, firstly according to Central limit theorem the z score probability distribution for sample means is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = average age of the random sample of horses with colic = 12 yrs

$\mu$ = average age of all horses seen at the veterinary clinic = 10 yrs

$\sigma$ = standard deviation of all horses coming to the veterinary clinic = 8 yrs

n = sample of horses = 60

So, probability that a sample mean is 12 or larger for a sample from the horse population is given by = P( $\bar X$ $\geq$ 12)

P( $\bar X$ $\geq$ 12) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{12-10}{\frac{8}{\sqrt{60} } }$ ) = P(Z $\geq$ 1.94) = 1 - P(Z < 1.94)

= 1 - 0.97381 = 0.0262

Therefore, probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.

4 0

3 years ago

Show how you can scaffold a grade 2 class to understand the following mathematics topic it’s concepts and application. 1.1.1 nam

stich3 [128]

The best way to scaffold a grade 2 class to understand the topics such as unitary fractions, fractions in diagrammatic form, write fractions as 1 half is by first explaining the definition then real life application including physical representation.

What is fraction?

A fraction is a portion of a whole or, more roughly, any number of equal pieces. The word fraction comes from the Latin word fractus, which meaning "broken." When expressed in common English, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a specific size. A common, vulgar, or simple fraction is one with a non-zero denominator that is displayed below (or after) the line on which the numerator is displayed. Examples of these fractions include 1/2 and 14/3. The uncommon fractions that use numerators and denominators are difficult fractions, compound fractions, and mixed numeral fractions.

Definition or explanation of the topics given in the question:

Unitary fractions or Unit fractions: A fraction with the number one in the numerator is known as a unit fraction in mathematics. Of all the equally sized portions of the whole, it symbolizes one shaded part. "Unit" refers to one.

For instance, 1/4 is the numerical representation of a pizza that has been divided into 4 equal portions, each of which is being consumed by one individual similarly if it got divided between 2 people it is represented as 1/2.

Recognize fractions in diagrammatic form: This could be done by showing the diagrams which contain boxes of two different colors which represents the numerator and denominator.

Write fractions as 1 half: The 1 half fractions are the fractions in which the denominator is twice the the numerator. That is any fraction in the form n\2n where, n = 1, 2, 3, 4.... is the 1 half fraction.

To know more about fraction, go to link

brainly.com/question/78672

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3 0

1 year ago

rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the heig

spin [16.1K]

Answer:

1.8 is the h of the rhombus

4 0

3 years ago

Which of thw following is equivalent to tosq root of -50