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11111nata11111 [884]
2 years ago
7

Almost all employees working for financial companies in New York City receive large bonuses at the end of the year. A sample of

62 employees selected from financial companies in New York City showed that they received an average bonus of $47,000 last year with a standard deviation of $15,000. Construct a 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year.
Mathematics
1 answer:
lora16 [44]2 years ago
6 0

Answer:

The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 62 - 1 = 61

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 61 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.67

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.67\frac{15000}{\sqrt{62}} = 3181

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 47000 - 3181 = $43,819

The upper end of the interval is the sample mean added to M. So it is 47000 + 3181 = $50,181

The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181

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Fittoniya [83]

Answer:

Equation of midsegment line: y = (-1/4)x + 2.

Step-by-step explanation:

If the parallel sides of a trapezoid are contained by the lines:-

y = (-1/4)x +5 and y = (-1/4)x - 1

Midsegment of any trapezoid is the line segment

1. that is parallel to pair of parallel side of trapezoid and

2. that passes through the middle of the trapezoid and cuts the other two sides into equal-half.

It means the midsegment would have same slope as the parallel lines and y-intercept would be in the middle of intercepts of parallel lines.

So y = mx + b

where m = -1/4 and b = (5 - 1)/2 = 4/2 = 2.

Hence, the equation of midsegment would be y = (-1/4)x + 2.

6 0
3 years ago
Help pretty please .w.
sineoko [7]
I don’t know what that is it’s probably 9999999
4 0
3 years ago
Read 2 more answers
The United States consumes 2.6 billion cases of bottled water per year. Assume that each case holds 24 ½-liter bottles. Each cas
rusak2 [61]
So first find the circumfernece of the earth which is 24,901 times 5280 
use a calculator 
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1 ft=12 inches so 131,477,280 times 12=157,727,360 in
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million=1000 thousand
billion=1000 million
billion=1,000,000,000
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so 2,600,000,000/104,458,255.62914=24.88 or rounded up <u>they would go around the earth close to </u><u>25</u><u> times</u>





AREA OF THE BASES
base=legnth times width so 15.1 times 8.3 =125.33 in^2
multiply 125.33 in^2 by 2,600,000,000 and get 325,858,000,000 in^2 or 3.25858 times 10^11=area of the bases

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perimeter of the bases 2Legnth+2Width times 2.6 billion
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46.8 times 2.6 billion=121,680,000,000 inches  or 1.2168 times 10^11= perimeter of all the bases

VOLUME
24 1/2 liter bottles means 24 times 1/2=12 liters in each pack 
2.6 billion times 12=<u>31,200,000,000</u> liters or 3.12 times 10^10
4 0
3 years ago
HELP!
-Dominant- [34]

Answer:

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Step-by-step explanation:

took the test.

6 0
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A triangle has sides with lengths in centimeters that are consecutive even whole numbers. the perimeter of the triangle is 186 c
lianna [129]
186/3=62
a possible answer could be 60, 62, 64.
8 0
2 years ago
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