2-b/3=-5/2 what dose b =

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t

andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: $H_{0} = 3$

Alternate: $H_{a} = 3$

The test-statistic is given by:

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

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that $n = 100$

3 tested at the null hypothesis

This means that $\mu = 3$

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that $X = 3.1$

The population standard deviation is known at 0.5 minutes.

This means that $\sigma = 0.5$

Value of the test-statistic:

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

$z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0

3 years ago

If triangle ABC is congruent to triangle XYZ, then which of the following is congruent to segment XY? (5 points)

givi [52]

Answer:

Segment AB!

hope this helps

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, wher

Sliva [168]

The value of $f(g(x))$ is $6x^{3} +4$

Explanation:

The function $f(x)$ is given by

$f(x)=2x^{2} +4$

The function $g(x)$ is given by

$g(x)=\sqrt{3x^{3} }$

To determine the value of $f(g(x))$ , let us first substitute the value of $g(x)$ .

Thus, we get,

$f(g(x))=f(\sqrt{3x^{3} } )$

Now, substituting for $x=\sqrt{3x^{3} }$ in the function $f(x)$ , we get,

$f(g(x))=2(\sqrt{3x^{3} } )^2+4$

Simplifying, the expression, we get,

$f(g(x))=2({3x^{3} } )+4$

Multiplying the term within the bracket, we have,

$f(g(x))=6x^{3} +4$

Thus, the value of $f(g(x))$ is $6x^{3} +4$

Hence, the value of $f(g(x))$ represents the total amount of money that Barrett earns for working x hours.

4 0

3 years ago

Steps to solve 3 raised tobthe power of 6

SVETLANKA909090 [29]

Times 3 6 times but not 3 times 6

7 0

3 years ago

Read 2 more answers

Write an equation of a line that passes through (-12, -14) with slope 6.

damaskus [11]

The slope intercept form of a line is y = mx + b

m = slope
b = y-intercept

Plug in the slope, 6, into m.

Rewrite the equation;

y = 6x + b
We need to find b, your y-intercept, to finish this equation.

Plug in your point coordinate, (x, y) ⇒ (-12, -14) into the equation.

-14 = 6(-12) + b

Solve for b to find the y-intercept.

-14 = -72 + b
58 = b

Your new equation (your answer) is<em> </em>y = 6x + 58.

6 0

4 years ago