What is 85% of 146.54??

Define z_alpha to be a z-score with an area of alpha to the right. For Example: z_0.10 means P(Z > z_0.10) = 0.10. We would a

Reptile [31]

Answer:

a) P(-z_0.025 < Z < z_0.025)

For this case we want a quantile that accumulates 0.025 of the area on the tails of the normal standard distribution, and for this case we can calculate the z value with the following excel codes:

"=NORM.INV(0.025,0,1)"

And for this case the two values are : $z_{crit}= \pm 1.96$

b) P(-z_{\alpha/2} < Z < z_{\alpha/2})

For this case we want a quantile that accumulates $\alpha/2$ of the area on the tails of the normal standard distribution, and for this case we can calculate the z value with the following excel codes:

"=NORM.INV(alpha/2,0,1)"

c) For this case we want to find a value of z that satisfy:

P(Z > z_alpha) = 0.05.

And we can use the following excel code:

"=NORM.INV(0.95,0,1)"

And we got $z_{\alpha/2}=1.64$

Step-by-step explanation:

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

Part a

P(-z_0.025 < Z < z_0.025)

For this case we want a quantile that accumulates 0.025 of the area on the tails of the normal standard distribution, and for this case we can calculate the z value with the following excel codes:

"=NORM.INV(0.025,0,1)"

And for this case the two values are : $z_{crit}= \pm 1.96$

Part b

P(-z_{\alpha/2} < Z < z_{\alpha/2})

For this case we want a quantile that accumulates $\alpha/2$ of the area on the tails of the normal standard distribution, and for this case we can calculate the z value with the following excel codes:

"=NORM.INV(alpha/2,0,1)"

Part c

For this case we want to find a value of z that satisfy:

P(Z > z_alpha) = 0.05.

And we can use the following excel code:

"=NORM.INV(0.95,0,1)"

And we got $z_{\alpha/2}=1.64$

6 0

3 years ago

Assessment items Diana is constructing a regular hexagon inscribed in a circle. She begins by drawing a line and labeling a poin

andreyandreev [35.5K]

your options are Put the point of the compass on point B and the pencil point on point C. With the compass point still on B, draw two arcs that intersects the circle with center A.

Use a straightedge to join the four points where the circles intersect.

Draw and label the points where the circles with centers A and B intersect and where the circles with centers A and C intersect.

Put the point of the compass on point B and the pencil point on point C. Using this compass width, put the compass point on A and draw another circle.

5 0

4 years ago

What is the coordinate a and b please

Anna11 [10]

Where dose the A go to tho..

5 0

3 years ago

Read 2 more answers

10 You work at a factory that bottles honey The factory bottles S250 gallons of honey into cup size bottles on average a ay How

erma4kov [3.2K]

Answer:

The factory bottles <u>4000 cups of hone</u>y a day.

Step-by-step explanation:

1 gallon = 16 cups

250 gallons = 4000 cups

Hope this helps!

8 0

4 years ago

A basket of laundry is being separated. Divide 48 pieces of clothing into 2 groups so that the ratio is 1:3

Alla [95]

Ratio is 1:3.....added = 4

1/4(48) = 48/4 = 12
3/4(48) = 144/4 = 36

the 2 groups will be 12 and 36

5 0

3 years ago