The standard deviation in a large population is equal to 8.3. How big sample is needed to be 90% sure that the sample mean is within 1.3units of the population mean?

Answer:

111

Explanation:

The sample mean is within 1.3units of the population mean, therefore the margin of error (E) = 1.3

confidence (C) = 90% = 0.9

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1 / 2 = 0.05

The z value for a confidence of 90% = z value of α/2 = z value of 0.45 (0.5 - 0.05) = 1.645

Given that E = 1.3, standard deviation (σ) and sample size = n.

The margin of error (E) is given by:

[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\Substituting:\\\\1.3=1.645*\frac{8.3}{\sqrt{n} }\\\\\sqrt{n}= 1.645*\frac{8.3}{1.3}\\\\\sqrt{n} =10.5\\\\n=110.3[/tex]

n ≈ 111 (to the next whole number)

What is the three adjectives for the luggage was heavy and bulky so I struggle to put through the crowded airport

Choose a theme and write a paragraph that states your own interpretation of that theme in “Raymond’s Run.” Be sure to provide evidence and an explanation of your evidence.

Read the following passage and answer the questions that follow.
The Strange Case of Dr. Jekyll and Mr. Hyde
by Robert Louis Stevenson
Part 1
1. Mr. Utterson the lawyer was a man of a rugged countenance, that was never lighted by a smile; cold, scanty and embarrassed in
discourse; backward in sentiment; lean, long, dusty, dreary, and yet somehow lovable. At friendly meetings, and when the wine
was to his taste, something eminently human beaconed from his eye; something indeed which never found its way into his talk,
but which spoke not only in these silent symbols of the after-dinner face, but more often and loudly in the acts of his life. He was
austere with himself; drank gin when he was alone, to mortify a taste for vintages, and though he enjoyed the theatre, had not
crossed the doors of one for twenty years. But he had an approved tolerance for others; sometimes wondering, almost with envy,
at the high pressure of spirits involved in their misdeeds; and in any extremity inclined to help rather than to reprove.
2. "I incline to, Cain's heresy," he used to say. "I let my brother go to the devil in his quaintly 'own way." In this character, it was
frequently his fortune to be the last reputable acquaintance and the last good influence in the lives of down-going men. And to
such as these, so long as they came about his chambers, he never marked a shade of change in his demeanour.
3. No doubt the feat was easy to Mr. Utterson; for he was undemonstrative at the best, and even his friendship seemed to be
founded in a similar catholicity of good-nature. It is the mark of a modest man to accept his friendly circle ready-made from the
hands of opportunity; and that was the lawyer's way. His friends were those of his own blood or those whom he had known the
longest; his affections, like ivy, were the growth of time, they implied no aptness in the object. Hence, no doubt, the bond that
united him to Mr. Richard Enfield, his distant kinsman, the well-known man about town. It was a nut to crack for many, what these
two could see in each other, or what subject they could find in common. It was reported by those who encountered them in their
Sunday walks, that they said nothing, looked singularly dull, and would hail with obvious relief the appearance of a friend. For all
that, the two men put the greatest store by these excursions, counted them the chief jewel of each week, and not only set aside
occasions of pleasure, but even resisted the calls of business, that they might enjoy them uninterrupted.
*The biblical story of Cain and Abel is a story about two brothers who gave offerings to God. Abel's offering was accepted by God, but Cain's
was not. Jealous, Cain killed his brother. When God asked Cain where Abel was, Cain said, Am I my brother's keeper? By saying this, Cain
implied that what his brother did was his own business. (Genesis 4:1-16)
The passage implies that which of these is true of Mr. Utterson? (5 points)
Oa
He is less wealthy than Mr. Enfield.
Oь
He is not related to Mr. Enfield.
oc
He can be socially awkward.
He can be violent when angered.
Od

PLEASE HELP ME FAST I WILL GIVE BRAINLEST WHO WILL ANSWER MY QUESTION

Find the prepositional phrase.


Our team is playing basketball at the junior high courts this afternoon

HELP PLEASE
Choose a matching analogy.
honor:disgrace

a) loyally trust
b) hate:poin
c) devious shrewd
d) genuine artificial

I also need this please thx

Which of the following describes an effect of the development of the assemblies in
the Roman Republic?
1) Power was less concentrated in the hands of wealthy nobles,
2) Power was more concentrated in the hands of wealthy nobles.
3) Power was less evenly distributed among the three branches of government.
4)
Power was more evenly distributed among the three branches of
government.
Please help!

Write a paragraph using the following phrases:-
(i)as the years went by
(ii)haze of familiar smoke​

they ____ in this house since 2001 (live)​

Can someone help quickly please

How might using an online encyclopedia, or wiki, benefit a student conducting research?

A. It provides a template for the structure of the paper.
B. It provides one major point of view on the subject.
C. It provides some basic background on the subject.
D. It provides expertly researched information on a subject.

Which statement describes how the purpose of the frame and the excerpt are different?

The frame informs the reader that boys may not have accurately remembered the way they were sitting.
The excerpt informs the reader of the order in which the boys were supposedly sitting.
The excerpt informs the reader that there were likely inaccuracies in the report provided to the court.
The frame informs the reader that the boys were in a different order than reported to the court.

According to the section "Flu pandemic
finally ends," WHY did so many people
die in 1918 from the flu?

what is the main idea of paragraph 3 “The gates”

Read the excerpt from "On Becoming an Inventor" by
Dean Kamen.
Which fact from the excerpt best supports Kamen's
opinion that his projects were neat?
From this well-stocked basement came a whole new
set of really neat projects. My younger brother, Mitch,
and his friends, as well as some of my own friends,
would come after school to help. At sixteen I was now a
young entrepreneur, paying them for their help. I was
surprised by the number of orders I was getting for
more and more equipment. Soon I didn't have time to
build and design new things. Giving over this work to
other kids gave me more time to do what I wanted to
do. This went on after school and all summer long.
O The basement was well-stocked with equipment.
O Mitch and his friends would come over after school.
O He was getting a large number of orders for the
projects.
O He gave over some of the work to the other kids.

(Help me here please, I hope your answer is serious.)​

A,b,c or D I will be asking more questions!! Thanks

essay on class room about 180 words​

Explain if the major principles of paragraph construction have been observed in the
construction of the paragraph or not

What does the word resigned
mean as used in the poem?

A. ceased

B. quit

C. settled

D. slowed

"Everybody stares at me These two teeth are gone as you can see I don't know just who to blame for this catastrophe!" what type of language is this?

Select the adjective in the sentence.
The chubby baby clapped his hands excitedly.

Write a essay on The important of extracurricular activities for teens

Which of the following demonstrates a laissez-faire leadership style?

creating a schedule with benchmarks and deadlines for a project

being present but not giving input at all project meetings

waiting until a project is complete to review it and give feedback

getting everyone input on a project then drawing up the final plans

To be subjective means:
A. To represent your own point of view
B. To be true for everyone
C. To represent the ideas of others
D. To intentionally influence others

This is probably really easy but, I would like if someone told me the answers because I can’t decide on my choices. Please answer quickly it is due today! This is on Pigs is Pigs commonlit assignment.

Nora makes the decision to leave her family. What is this an example of?

A - Challenging a social norm of the time
B - Creating a social norm of the time
C - Changing a social norm of the time
D - Reflecting a social norm of the time

HELP DUE BY THE 2ND AT 5:00PM
What do you think the theme is? How do you know? What is your evidence? I think the theme is ________ because the text says ____________.
STORY HERE

what is the theme of shelter dog protects owner with epilepsy