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3 years ago

Which distribution is used to test the claim that women have a higher mean resting heart rate than men?

Mathematics

1 answer:

xeze [42]3 years ago

4 0

This question is incomplete, the complete question is;

Assume that two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Which distribution is used to test the claim that women have a higher mean resting heart rate than men?

A.t

B.F

C.Normal

D. Chi-square

Answer:

A) t test

Step-by-step explanation:

A t-test uses sample information to assess how plausible it is for the population means μ1 and μ2 to be equal.

The formula for a t-statistic for two population means (with two independent samples), with unknown population variances shows us how to calculate t-test with mean and standard deviation and it depends on the assumption of having an equal variance or not.

If the variances are assumed to be not equal,

he formula is:

t = (bar X₁ - bar X₂) / √( s₁²/n₁ + s₂²/n₂ )

If the variances are assumed to be equal, the formula is:

t = (bar X₁ - bar X₂) / √ (((n₁ - 1)s₁² + (n₂ - 1)s₂²) / (n₁ + n₂ - 2)) ( 1/n₁ + 1/n₂)

it called t-test for independent samples because the samples are not related to each other, in a way that the outcomes from one sample are unrelated from the other sample.

hence option A is correct. t test

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AlladinOne [14]

Answer:

104

Step-by-step explanation:

tan(60) = opposite/adjacent

tan(60) = X/60

X = 60×tan(60)

X = 103.9230484541

X = 104 (3 sf)

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3 years ago

The endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).the center of the circle is at the point , and its rad

Furkat [3]

The midpoint of the points ( 4, 5.5 ) and ( 4, 10.5 ) is the center of the circle:
C = $(\frac{4+4}{2}, \frac{5.5+10.5}{2})$
C = ( 4, 8 ), h=4, k=8
r = $\sqrt{(4-4)^{2} +(8-5.5)^{2} } = \sqrt{0+2.5^{2} }$
r = 2.5
The equation of the circle in standard form:
( x - h )² + ( y - k )² = r²
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4 0

3 years ago

Read 2 more answers

Please help due today

Masja [62]

Answer: 80 ft²

Step-by-step explanation:

The area of a trapezoid is one half the product of the height and the sum of the lengths of the bases.

(6 + 10) * 0.5 * 10 = 80 (ft²)

3 0

3 years ago

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 4x – 60. the cost, in dollars, of

Anuta_ua [19.1K]

An expression has numbers, variables, and mathematical operations. The expression that represents the profit made by the organization is 5x-200.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the profit is the difference between the revenue and cost. Therefore, the expression that represents the profit can be written as,

$\rm Profit = Revenue - Cost$

$= (3x^2+4x-60)-(3x^2-x+200)\\\\= 3x^2+4x-60-3x^2+x-200\\\\=5x-260$

Thus, the expression that represents the profit made by the organization is 5x-200.

Learn more about Expression:

brainly.com/question/13947055

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2 years ago

g If a random sample of 18 deliveries was selected instead and the standard deviation of these delivery times was found to be 9.

lana [24]

Answer:

We can use the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

If we use this formula we got:

$z=\frac{21-20}{\frac{9.31}{\sqrt{18}}}= 0.456$

$z=\frac{25-20}{\frac{9.31}{\sqrt{18}}}= 2.279$

And using a calculator, excel or the normal standard table and we have that:

$P(0.456$

Step-by-step explanation:

We assume this previous info: It is known that the amounts of time required for room-service delivery at a certain Marriott Hotel are Normally distributed with the average delivery time of 20 minutes.

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

$X \sim N(20,9.31)$