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Ludmilka [50]
3 years ago
6

What is the answer? (Plz try to explain how to solve thx!)

Mathematics
1 answer:
slamgirl [31]3 years ago
8 0

Answer:

I think your answer would be C I am not sure the way I worked it out says C. I hope this helps you out.

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Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the pop
Andreyy89

Answer:

The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.

Step-by-step explanation:

The complete question is:

The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.

Solution:

The (1 - <em>α</em>)% confidence interval for population mean is:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

The margin of error for this interval is:

MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

The critical value of <em>z</em> for 90% confidence level is:

<em>z</em> = 1.645

Compute the required sample size as follows:

MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

      n=[\frac{z_{\alpha/2}\cdot\sigma}{MOE}]^{2}\\\\=[\frac{1.645\times 2103}{500}]^{2}\\\\=47.8707620769\\\\\approx 48

Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.

3 0
3 years ago
Allen has 344 baseball cards he gave keyone 25 how many cards does Allen have left?
Ronch [10]
Hey there! Just subtract 25 from 344. The answer is 319.
4 0
3 years ago
Help me please i need help
olchik [2.2K]

What do you need help with there is nothing showing.

6 0
2 years ago
David opened a coffee shop and sold 60 mochas the first day at $2 per cup. He wants to increase the price per cup to increase hi
Tom [10]

Answer: Multiply (60 − 2x) and (2 + 0.25x) to create the equation y = -0.5x2 + 11x + 120

We know that David wants to increase the price per cup to increase his revenue. He found out that for every $0.25 grows( increase), x, in the price for each cup.

In the event of a price increase, 2 cups remain unsold, and doubling the cups is still not sold. Then the numbers are sold (60-2x). Depending on the choice:

Revenue= (60 -2x)(2 +0.25x)

60·2 +60·0.25x -2x·2 -2x·0.25x

= -0.5x² +11x +120

5 0
3 years ago
Read 2 more answers
HELPPPPPPP!!!!!! i need this today
Jet001 [13]

Answer:

(d) 78√3

hope it is right answer for it !!

3 0
2 years ago
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