An hourly wage is normally distributed with a mean of $6.75 and a standard deviation of $0.55. What is the probability that an employee’s hourly wage is between $5.65 and $7.30 *
5 points
81.5%
68%
13.5%
95%

Answers

Answer 1

Answer:

Option A. 81.5%

Explanation:

Population mean, [tex]\mu = 6.75[/tex]

Standard deviation, [tex]\sigma = 0.55[/tex]

The question is to find [tex]p(5.65 < \bar{x} < 7.30)[/tex]

The z value is given by the formula:

[tex]z = \frac{\bar{x} - \mu}{\sigma}[/tex]

z - value corresponding to the mean, [tex]\bar{x} = 5.65[/tex]:

[tex]z_1 = \frac{5.65 - 6.75}{0.55}\\z_1 =-2.0[/tex]

z - value corresponding to the mean, [tex]\bar{x} = 7.30[/tex]:

[tex]z_1 = \frac{7.30 - 6.75}{0.55}\\z_1 =1.0[/tex]

[tex]p(5.65\leq \bar{x} \leq 7.30) = p(-2.0 \leq z \leq 1.0)\\p(-2.0 \leq z \leq 1.0) = p(z\leq 1) - p(z\leq -2)\\ p(-2.0 \leq z \leq 1.0) = 0.84134 - 0.02275\\p(-2.0 \leq z \leq 1.0) = 0.81859 \\p(-2.0 \leq z \leq 1.0) = 0.82[/tex]

Probability that an employee’s hourly wage is between $5.65 and $7.30 = 81.5%

Answer 2

The probability that an employee’s hourly wage is between $5.65 and $7.30 is 81.5%.

Z score is used to determine by how many standard deviation the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\\mu=mean,\sigma=standard\ deviation,x=raw\ score\\\\\mu=6.75,\sigma=0.55\\\\For\ x=5.65\\\\z=\frac{5.65-6.75}{0.55}=-2\\\\\\For\ x=7.30\\\\z=\frac{7.30-6.75}{0.55} =1[/tex]

P(-2 < z < 1) = P(z < 1) - P(z < -2) = 81.5%

The probability that an employee’s hourly wage is between $5.65 and $7.30 is 81.5%.

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Related Questions

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Answers

Answer:

Explanation:

Greek city-states developed different forms of governance with very different political structures and strengths.

Greek colonization led to the spread of the Greek language and Greek culture, but it also resulted in tensions with the neighboring Persian empire, culminating in the Persian Wars.

Athens developed democratic institutions and a culture of philosophy, science, and culture; it emerged as a powerful state and allied with other city-states, forming the Delian League.

Resistance to Athens’ power among the other Greek city-states, particularly Sparta, prompted the Peloponnesian War

Answer:

Greek city-states developed different forms of governance with very different political structures and strengths.

Greek colonization led to the spread of the Greek language and Greek culture, but it also resulted in tensions with the neighboring Persian empire, culminating in the Persian Wars.

Athens developed democratic institutions and a culture of philosophy, science, and culture; it emerged as a powerful state and allied with other city-states, forming the Delian League.

Resistance to Athens’ power among the other Greek city-states, particularly Sparta, prompted the Peloponnesian War.

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Answers

Answer:

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Explanation:

1 The irrational fear of immigrants promoted during the First Red Scare contributed significantly to what development in
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A) the crash of the stock market

What was Wilson's position for the United States during WWI?

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Answer:

World War I People. Woodrow Wilson. Woodrow Wilson (1856–1924) was the 28th President of the United States, serving two terms from 1913 to 1919. As President of Princeton University and later as Governor of New Jersey, Wilson was a leading Progressive, arguing for a stronger central government and fighting for anti-trust legislation and labor rights.

Explanation:

There were more than double the amount of railroads tracks
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Answers

Answer:

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Explanation:

Help!

Multiple Choice: Highlight the answer(1 point each)

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4. Which region of the 13 colonies is Virginia in?
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2. Which region of the 13 colonies would you choose to live and give TWO reasons why?




Answers

Answer:

New England

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Middle

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Explanation:

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Answers

Answer:

Um, where are the other answer options? do you want us to check if your answer is correct?

Explanation:

If so, I think what you've said is correct, but.....

Step 1.

You could also mention how the contrasting political ideologies of the countries resulted in added tension. The Soviet Union was a communist dictatorship while the United States was a democracy. Both countries promoted negative views of the other country and other political system (resulting in the "Red Scare" or "McCarthyism" incident in the United States).

Step 2.

Another point could be that while the USSR and USA were political allies during WWII, the way they handled the aftermath of it differed - the USA (and Britain) set to work liberating countries in Western Europe from previous German control, encouraging them to hold democratic elections and become democratic and capitalist countries like themselves. On the other hand, the Soviet Union was suspicious of the West and established Soviet "puppet governments" in those countries in Eastern Europe that it 'liberated'. This group of Soviet-controlled Communist countries in Eastern Europe became known as the Eastern Bloc, and served as a buffer zone between the contrasting societies of the East and West (the Soviet Union was worried that the West would invade the USSR like Germany had done during the war, so wanted some protection against them).

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Answers

The factors that shaped US foreign policy in the Middle East during George H.W. Bush were based on and primarily driven by the 9/11 terrorist attacks.

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Answers

Answer:

Madeleine Albright

Explanation:

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Answers

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Answer:

The real answer is that Russia needed a port in the black sea for trade and influence. Also the old Russian empire fought the Ottomans to gain this territory. Back then in the Russian Empire era, There was no such thing as Ukrainian country nor a group. Even the now days Ukrainians have a different culture and dialect. West, East,North and  east Pontic steppe which are way more closer to Russia. Russia believed the Crimea and eastern Ukraine belongs to Russia. The reason for today's hatred of the Ukrainian people towards the Russians is that during Stalins soviet era, he starved many Ukrainians over 5 million died. The treatment of the Ukrainians was so bad that even when the Nazis arrived in the Ukraine during WW2, it was seen as liberation.

                         

Explanation:

Main reasons

1. Influence and trade

2.Crimea is majority Russian.

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4.Eastern Ukrainians want to be a part of Russia and western Ukrainians want to be left alone.

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Answers

Answer:

The Black Codes, sometimes called Black Laws, were laws governing the conduct of African Americans (free blacks). The best known of them were passed in 1865 and 1866 by Southern states, after the American Civil War, in order to restrict African Americans' freedom, and to compel them to work for low wages.

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It’s describes its best ability

Answer:

B,D,E

Explanation:

i just took the test of edge and these are the right answers

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Answer: C

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Slavery has been established in the North American colonies with human trafficking from Africa to Virginia. Slavery has been concentrated largely in the southern colonies, as they have labor-intensive agricultural economies. Thus option C is correct.

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Answers

Answer:

B. Keep its involvement in business activity to a minimum.

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Answer:

The Answer is C

Explanation:

Because they talk about how old it is

Answer:

C

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Answer:

he honors the dead

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D. It encouraged colonists to fight for independence.+++

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Answers

your answer is gonna be A

A. Poor farmers that traveled to California looking for new

opportunities best describe Okies

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What race are Okies?

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C)
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D)
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i think its (B) He had lost his farm during the Civil War.

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Answers

B, passive resistance to injustice

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Explanation:

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Answers

Explanation:

I don't see any options to choose from?

Answer:

Capture of an American ship by Cambodians

Explanation:

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Answers

Answer: B, Democrats gained enough power to make a change

Explanation:

The main cause for the end of Reconstruction was because (B)Democrats had gained enough power to make a change. Option B

Cause for the end of Reconstruction:

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In the 1994 elections, Republicans won a clear
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Answers

Answer:

in the 1994 elections, Republicans won a clear majority in states.

Answer:

25

Explanation:

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Answers

A tectonic plate is a piece of Earth’s crust. There are about 15 of them on earth. Their movement sometimes brings earthquakes or volcanoes. That’s why most earthquakes are located on the border of two plates. They move a few centimeters a year, because the inner layer of the earth, consisting of soft “liquid” rocks, are moving because the difference in temperature between the earth's core and the earth's surface.

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Tectonic movement implies the underneath crust pieces that are the outermost layer of the Earth. Thus, these plates are residing at the top of molten and layers of rock that formes the upper mantle.

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(PLEASE ANSWER!!!!!)
Settlers and American Indians often had conflicts after the passage of the Homestead Act. How were these conflicts resolved?

A) Settlers formed armies and staged regular attacks against American Indians.
B) The federal government forced American Indians to move onto reservations.
C) The government used force against settlers to make them obey the law.
D) Congress repealed the Homestead Act to prevent any further conflict.

Answers

Answer:

B.) The federal government forced American Indians to move onto reservations Is the correct answer.

Answer:

Answer is (B)

Explanation:

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