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)

Which of the following describes an effect of the development of the assemblies in
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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.
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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
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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

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Read the excerpt from "On Becoming an Inventor" by
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Which fact from the excerpt best supports Kamen's
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From this well-stocked basement came a whole new
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