An author argued that more basketball players have birthdates in the months immediately following July 31, because that was the age cutoff date for nonschool basketball leagues. Here is a sample of frequency counts of months of birthdates of randomly selected professional basketball players starting with January: 390, 392, 360, 318, 344, 330, 322, 496, 486, 486, 381, 331 . Using a 0.05 significance level, is there sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same frequency? Do the sample values appear to support the author's claim?

Answers

Answer 1

Answer:

Answer:

There is sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same frequency.

Step-by-step explanation:

In this case we need to test whether there is sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same frequency.

A Chi-square test for goodness of fit will be used in this case.

The hypothesis can be defined as:

H₀: The observed frequencies are same as the expected frequencies.

Hₐ: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

$\chi^(2)=\sum{((O-E)^(2))/(E)}$

The values are computed in the table.

The test statistic value is $\chi^(2)=128.12$ .

The degrees of freedom of the test is:

n - 1 = 12 - 1 = 11

Compute the p-value of the test as follows:

p-value < 0.00001

*Use a Chi-square table.

p-value < 0.00001 < α = 0.05.

So, the null hypothesis will be rejected at any significance level.

Thus, there is sufficient evidence to warrant rejection of the claim that professional basketball players are born in different months with the same frequency.

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A box with an open top has vertical sides, a square bottom, and a volume of 32 cubic meters. If the box has the least possible surface area, find its dimensions. (In your answer leave a space between the number and the unit.)

Work out the height of this cone

Answers

Answer:20 cm

Step-by-step explanation:

Volume of cone=540π

Radius=r=9

Volume of cone=1/3 x π x r^2 x h

540π=1/3 x π x 9^2 x h

540π=1/3 x π x 9 x 9 x h

540π=(1xπx9x9xh)/3

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The difference of a number h and 8 is greater than 12 and less than 22

Answers

Answer:

12<|h-8|<22

Step-by-step explanation:

If H is 19 it will be the smallest number the variable H can possibly be to be greater than 12 less than 22 since that is equivalent to 10.

-sorry if wrong
Written by 7th grader

-3(-5)+7y=5(-5)+2y solve for y

Answers

Answer:

-2

Step-by-step explanation:

-15+7y=-25+2y

7y-2y=-25+15

5y= -10

5y/5= -10/5

y= -2

Answer:

y= -17/5 or -3.4

Step-by-step explanation:

-8+7y= -25+2y

5y= -17

y= -17/5 or -3.4

8/3+7/5a

Simplify your answer as much as possible.

Answers

Answer:

mixed number: 4 1/15

Exact: 61/15

I think the answer is 8/3 + 7a/5

Is the quotient of two rational numbers always a rational number? Explain.

Answers

The Quotient of two Rational Numbers is a Rational Number if and only if Numerator and Denominator are Multiples.

From Algebra, we know that a Rational Number is a Real Number of the form:

$x = (a)/(b)$ , $a, b\in \mathbb{N}$ , $x \in \mathbb{R}$ (1)

Where:

$a$ - Numerator.
$b$ - Denominator.
$x$ - Quotient.

The Quotient can be an Integer or not. In the first case, all Quotients have their equivalent Rational Numbers.

Now, if we divide a Rational Number by another Rational Number, then we have the following expression:

$x' = (x_(1))/(x_(2))$

If $x'$ is a Rational Number, then it must also an Integer and if $x'$ is an Integer, then $x_(1)$ and $x_(2)$ must be Multiples of each other.

The Quotient of two Rational Numbers is a Rational Number if and only if Numerator and Denominator are Multiples.

Please see this question related to Rational Numbers: brainly.com/question/24398433

Answer:

Yes,

Step-by-step explananation

The quotient of two rational numbers is always rational, and the reason for this lies in the fact that the product of two integers is always an rational number.

What is a root function of the polynomial function F(x)= x^3 + 3x^2 - 5x - 4

Answers

This is your answer
Xxxx

Step-by-step explanation:

Factor by grouping.

f(x) = x³ + 3x² − 5x − 4

f(x) = x³ + 3x² − 4x − x − 4

f(x) = x (x² + 3x − 4) − (x + 4)

f(x) = x (x − 1) (x + 4) − (x + 4)

f(x) = (x² − x) (x + 4) − (x + 4)

f(x) = (x² − x − 1) (x + 4)

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The quadratic function f(x) has a vertex at (9, 8) and opens upward. If g(x) = 4(x − 8)2 + 9, which statement is true?A. The maximum value of f(x) is greater than the maximum value of g(x).B. The maximum value of g(x) is greater than the maximum value of f(x).C. The minimum value of f(x) is greater than the minimum value of g(x).D. The minimum value of g(x) is greater than the minimum value of f(x).

Write an expression for the product of - 3 *- 2y