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MariettaO [177]

3 years ago

12

The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to det

ermine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose she found that the sample mean was 30.45 years and the sample standard deviation was 5 years. What is the p-value associated with the test statistic?

1 answer:

Maru [420]3 years ago

4 0

Answer:

0.077994

Step-by-step explanation:

Given that the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.

$H_0: Mean = 30\\H_a: Mean >30$

(Right tailed test)

Sample size = $n=250$

Sample mean = 30.45

Mean difference = $30.45-30=0.45\\$

Sample std dev s = 5

Sample std error = $\frac{5}{\sqrt{n} } =\frac{5}{\sqrt{250} } \\=0.3163$

Test statistic = Mean diff/std error = $=\frac{0.45}{0.3163} =1.423$

Since population std deviation is not know we use t test

p value = $0.077994$

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8 0

3 years ago

Solve for x .<br>-2z-xy=z+7

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-2z - xy = z + 7

You are solving for x. Note the equal sign. What you do to one side, you do to the other. Isolate the x.

First, add 2z to both sides

-2z (+2z) - xy = z + 7 (+2z)

Simplify. Combine like terms

-xy = z + 2z + 7

-xy = 3z + 7

Completely isolate the x. Divide -y from both sides

(-xy)/-y = (3z + 7)/-y

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3 years ago

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3 years ago

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Find the other x-intercept for the parabola defined by this equation y=2x2+3-2

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Answer:

( $\frac{1}{2}$ , 0 )

Step-by-step explanation:

To find the x- intercepts let y = 0, that is

2x² + 3x - 2 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 2 = - 4 and sum = + 3

The factors are + 4 and - 1

Use these factors to split the x- term

2x² + 4x - x - 2 = 0 ( factor the first/second and third/fourth terms )

2x(x + 2) - 1 (x + 2) ← factor out (x + 2) from each term

(x + 2)(2x - 1) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = $\frac{1}{2}$

The x- intercepts are (- 2, 0 ), ( $\frac{1}{2}$ , 0 )

8 0

3 years ago

Which value, when placed in the box, would result in a system of equations with infinitly many solutions? Y=2x - 5 2y-4x=

Nezavi [6.7K]

Given:

The system of equations is

$y=2x-5$

$2y-4x=?$

To find:

The missing value for which the given system of equations have infinitely many solutions.

Solution:

Let the missing value be k.

We have,

$y=2x-5$

$2y-4x=k$

Taking all the terms on the left side, the given equations can be rewritten as

$-2x+y+5=0$

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The system of equations $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$ have infinitely many solutions if

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}$

We have,

$a_1=-2,b_1=1,c_1=5$

$a_2=-4,b_2=2,c_2=-k$

Now,

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$\dfrac{1}{2}=\dfrac{1}{2}=\dfrac{5}{-k}$

$\dfrac{1}{2}=\dfrac{5}{-k}$

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$-k=10$

$k=-10$

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3 years ago