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Masja [62]
3 years ago
13

An agency is studying the income of store managers in the retail industry. A random sample of 25 managers reveals a sample mean

of $45,420. The sample standard deviation is $2,050. Use 90% confidence level to determine the confidence interval.
Mathematics
1 answer:
aalyn [17]3 years ago
3 0

Answer:

The Confidence Interval = ($44,745.55 , $46,094.45)

Step-by-step explanation:

The formula for Confidence Interval =

Confidence Interval = Mean ± z × Standard deviation/√n

Where n = number of samples = 25 managers

Standard deviation = $2,050

Mean = $45,420

z = z score of the given confidence interval

= z score of 90% confidence interval

= 1.645

Confidence Interval = $45,420 ± 1.645 × $2,050/√25

= $45,420 ± 1.645 × $2,050/5

= $45,420 ± 674.45

Confidence Interval =

$45,420 - 674.45 = $44,745.55

$45,420 + 674.45 = $46,094.45

Therefore, the Confidence Interval = ($44,745.55 , $46,094.45)

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omeli [17]

Answer:

8 and 6

Step-by-step explanation:

Two numbers are such that their difference, their sum, and their product are to

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Two numbers a & b

Let x = the multiplier

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a - b = 1x

a + b = 7x

a * b = 24x

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Add the 1st two equations

a - b = x

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or

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Replace 24x; a = 4x therefore:

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Using the 1st equation

a - b = 1x

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8 - 6 = 2

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Check this

a - b = 2 (1*2)

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The numbers are 8 and 6; their products = 48

4 0
3 years ago
What is the midpoint of the vertical line segment graphed below? (2, 4), (2, -9) A. (4, -5). B. (2, -5/2). C. (2, -5). D. (4, 5/
omeli [17]

Answer:

B. (2, -\frac{5}{2})

Step-by-step explanation:

Given:

(2, 4) and (2, -9)

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Apply the midpoint formula, which is:

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Where,

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8 0
3 years ago
As the number of degrees of freedom for a t distribution increases. True or False
valkas [14]

Answer:

t distribution behaves like standard normal distribution as the number of freedom increases.

Step-by-step explanation:

The question is missing. I will give a general information on t distribution.

t-distribution is used instead of  normal distribution when the <em>sample size is small (usually smaller than 30) </em>or <em>population standard deviation is unknown</em>.

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If point A is located at (-3,-1) and there are 10 points between A and B, what could be the possible coordinates for point B?
Nataly [62]

Answer:

Step-by-step explanation:

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4. MOVING DOWNWARD:

From point A, move 11 units vertically downward to come to point B:

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