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Leni [432]
3 years ago
7

To estimate the average salary among people in a certain district, a marketing team obtains a simple random sample of 100 people

from that district. The team sets up the following approximate 90% confidence interval, using a normal estimate, for the unknown average salary (in dollars annually) of the district:
[41500,49750]

__________ Approximately 90% of the people in the district have a salary in the interval
__________ The procedure used to construct the interval works approximately 90% of the time.
_________For the normal estimate of 90% confidence to apply, the salary distribution in the population must be approximately normal.
Mathematics
1 answer:
bogdanovich [222]3 years ago
3 0

Answer:

The interpretation is that we are 90% sure that the true average salary of the district is in this interval.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

The 90% confidence interval for the average salary of the district is  [41500,49750].

This means that we are 90% sure that the true average salary of the district is in this interval.

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How many batches of raisin granola bars can Ines make if she has 8/3 cups of raisins and each batch requires 2/3 cup of raisins?
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4 batches:

2/3 • 4 = 8/3

2/3 + 2/3 + 2/3 + 2/3 = 8/3

2/3 = 0.666666666666667

0.666666666666667 • 4 = 2.666666666666667

8/3 = 2.666666666666667






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3 years ago
Which statement is true?
iVinArrow [24]

Answer:

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5 0
2 years ago
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L is between M and N. If NL = 5x, LM = 3x, and NL = 15, find x.
Leona [35]

Answer:

x = 5

Step-by-step explanation:

Given that,

NL = 5x, LM = 3x, and NL = 15

L is between M and N.

To find,

The value of x.

Solution,

It is mentioned that, L is between M and N. So,

LM = LN

Put all the values,

3x = 15

⇒ x = 5

So, the value of x is equal to 5.

Reference,

brainly.com/question/19871240

6 0
2 years ago
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 cos2(x) − 6 sin(x), 0 ≤ x ≤ 2π (a) Find the inte
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Answer:

f(x) = 3 cos2(x) − 6 sin(x), 0 ≤ x ≤ 2π

We plot the function using a graphing calculator (See attached image below)

a) 1. Find the interval on which f is increasing.

f(x) increases for

x ∈ [π/2 , 7π/6] ∪ [3π/2, 11π/6]

2. Find the interval on which f is decreasing

f(x) decreases for

x ∈ [0 , π/2) ∪ (7π/6, 3π/2) ∪ (11π/6, 2π]

(b) Find the local minimum and maximum values of f

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Local maximum.      f = 4.5

(c) 1. Find the inflection points

Please see second image attached

Points,

(x,y) = (2.50673, -2.66882)

(x,y) = (4.14456, 3.79382)

(x,y) = (5.28022, 3.79382)

2. Find the interval on which f is concave up.

x ∈ [0 , 2.50673] ∪ [4.14456, 5.28022]

3. Find the interval on which f is concave down.

x ∈ (2.50673, 4.14456) ∪ (5.28022, 2π]

7 0
3 years ago
During the last survey, 45% of the 700 employees voted in favor of the new company logo. How many employees voted in favor of th
VARVARA [1.3K]
45% of the total 700 employees voted in favor of the new company logo

Number of employees that voted in favor of the new logo
=(45/100) x 700
= 315 employees
7 0
2 years ago
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