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Georgia [21]
2 years ago
14

A study of the career paths of hotel general managers sent questionnaires to an SRS of 280 hotels belonging to major U.S. hotel

chains. There were 177 responses. The average time these 177 general managers had spent with their current company was 12.39 years. (Take it as known that the standard deviation of time with the company for all general managers is 3.7 years.)
(a) Find the margin of error for a 90% confidence interval to estimate the mean time a general manager had spent with their current company: years
(b) Find the margin of error for a 99% confidence interval to estimate the mean time a general manager had spent with their current company: years
(c) In general, increasing the confidence level the margin of error (width) of the confidence interval.
Mathematics
1 answer:
const2013 [10]2 years ago
6 0

Answer and Step-by-step explanation:

we have the following data:

Point estimate = sample mean = \ bar x = 12.39

Population standard deviation = \ sigma = 3.7

Sample size = n = 177

a) the margin of error with a 90% confidence interval

α = 1 - 90%

alpha = 1 - 0.90 = 0.10

alpha / 2 = 0.05

Z \ alpha / 2 = Z0.05 = 1,645

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 1.645 * (3.7 / \ sqrt177)

Outcome:

E = 0.46

b) margin of error with a 99% confidence interval

α = 1-99%

alpha = 1 - 0.99 = 0.01

alpha / 2 = 0.005

Z \ alpha / 2 = Z0.005 = 2,576

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 2,576 * (3.7 / \ sqrt177)

Outcome:

E = 0.72

c) A larger confidence interval value will increase the margin of error.

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Find the pressure exerted by a force of 240 N on an area of 30 cm2. Find the answer in SI unit​
NeTakaya

Answer:

<u>Pressure</u><u> </u><u>is</u><u> </u><u>8</u><u>0</u><u>,</u><u>0</u><u>0</u><u>0</u><u> </u><u>pascals</u><u>.</u>

Step-by-step explanation:

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3 0
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Let ∠X and ∠Y be complementary. If sin(X) =
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<h3>Answer:</h3>

sin(Y) = 4/5

<h3>Step-by-step explanation:</h3>

The sine of one of a pair of complementary angles is equal to the cosine of the other. Given that ∠X and ∠Y are complementary, sin(Y) = cos(X) = 4/5.

_____

You can figure this from SOH CAH TOA, the mnemonic that reminds you of the definitions of the trig functions. The adjacent leg for one of the acute angles in the right triangle is the opposite leg for the other angle.

... Sin = Opposite/Hypotenuse

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First, substitute the known values into the equation:

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w = 6

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V = (8.5)(6)(10.5)

<em>(Note: .5 = 1/2)</em>

Now, all we need to do is simplify:

V = 535.5 ft³ OR 535 1/2 ft³

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You can pick whichever form your test directs you to use. They are both the same value though.

Hope this helps!

7 0
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