6/16 plus 6/40 plus 6/15

uranmaximum [27]

Here. Remember to get the correct units. If you need extra help, I am more than willing to help!

4 0

2 years ago

A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation i

erma4kov [3.2K]

Answer:

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 29

Sample mean, $\bar{x}$ = 30

Sample size, n = 47

Alpha, α = 0.05

Population standard deviation, σ = 5

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 29\\H_A: \mu > 29$

a) This is a one-tailed test because the alternate hypothesis is in greater than direction.

We use One-tailed z test to perform this hypothesis.

b) $z_{stat} > z_{critical}$ , we reject the null hypothesis and accept the alternate hypothesis and if $z_{stat} < z_{critical}$ , we accept the null hypothesis and reject the alternate hypothesis.

c) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{30 - 29}{\frac{5}{\sqrt{47}} } = 1.37$

d) Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} < z_{critical}$

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

e) P-value is 0.0853

On the basis of p value we again accept the null hypothesis.

5 0

3 years ago

Graph the line with the equation y= 1/2x -1

spayn [35]

Answer:

Start at the y-intercept, (0,-1). Next, go up one and to the right 2, plot a point. Keep going up one and to the right 2 until you reach the end of the graph. Next, go back to your y-intercept. Go down one and to the left 2. Keep going down and to the left until you reach the end of the graph. Connect all points.

Step-by-step explanation:

Start at the y-intercept, (0,-1). Next, go up one and to the right 2, plot a point. Keep going up one and to the right 2 until you reach the end of the graph. Next, go back to your y-intercept. Go down one and to the left 2. Keep going down and to the left until you reach the end of the graph. Connect all points.

4 0

2 years ago

Combine the like to simplify the expression: -5y + 12 + 8y − 6 − 2 =

ANTONII [103]

First, let's move combine like terms:

-5y + 8y = 6 + 2 -12.

3y = -4.

y = -4/3

8 0

3 years ago

Read 2 more answers

Solve the system of equations -x-2y=0 and -x+y=6 by combining the equations

Elden [556K]

Answer:

x=-4 and y=10

Step-by-step explanation:

Use the second equation to make y=x+6

sub y=x+6 into the first equation

-x-2*(x+6)=0

-x-2x-12=0

-3x-12=0

3x=-12

x=-4

Now sub x=-4 into the second equation

-(-4)+y=6

y=6+4

y=10

3 0

2 years ago