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kipiarov [429]
3 years ago
8

UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the stati

stic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01
Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

Answer:

The claim is rejected

Step-by-step explanation:

Claim: UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13).

Null hypothesis: H_0: \mu = 48500

Alternate hypothesis :H_a : \mu \neq 48500

n = 50

Since n is more than 30 .

So we will use Z test

x=43350

Standard deviation = 15000

Z=\frac{x-\mu}{\frac{s}{\sqrt{n}}}\\Z=\frac{43350-48500}{\frac{15000}{\sqrt{50}}}\\Z=-2.42

Refer the z table

p value = 0.00776

\alpha = 0.01

p value < \alpha

So, We are failed to accept null hypothesis

Hence The claim is rejected

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Key Features of Graphs of Functions - Part 1
dexar [7]

Answer:

See below

Step-by-step explanation:

Q1.

  • In a function, every <u>output</u> value corresponds to exactly one <u>input </u>

value.

<em>The words to be interchanged are underlined. The function as per definition has exactly one output for each input.</em>

Q2.

Part A

  • Because it has 2 same input value for 2 different output values

Part B

  • The two points are (4, -2) and (4, 2)
5 0
3 years ago
Read 2 more answers
Which equation represents the line that is perpendicular to and passes through (-40,20)?
emmasim [6.3K]

The equation of the perpendicular line to the given line is: y = -5/4x - 30.

<h3>What is the Equation of Perpendicular Lines?</h3>

The slope values of two perpendicular lines are negative reciprocal of each other.

Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.

Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.

Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:

20 = -5/4(-40) + b

20 = 50 + b

20 - 50 = b

b = -30

Substitute m = -5/4 and b = -30 into y = mx + b:

y = -5/4x - 30

The equation of the perpendicular line is: y = -5/4x - 30.

Learn more about about equation of perpendicular lines on:

brainly.com/question/7098341

#SPJ1

8 0
1 year ago
8 is 16% of what?<br> Complete the sentence
zalisa [80]

Answer:

50

Step-by-step explanation:

the answer is 50 becuz it is

3 0
2 years ago
Ms.Sack owns a grocerystore. She buys 272 pounds of potatoes for $99. She wants to sell them for twice as much. She makes 9 bags
mars1129 [50]
99*2=$198
10*9=90
272-90=182/5=36.5
4 0
2 years ago
Read 2 more answers
Which best describes the complement of spinning any number less than 3?
tatuchka [14]

Answer:

  • <u>The complement of spinning any number less than 3, is spinning a number equal to or greater than 3.</u>

Explanation:

The complement of a subset is the subset of elements that are not in the given subset.

You must know which numbers the spinner has.

Assuming the spinner has the numbers 1, 2, 3, 4, the complement of spinning any number less than 3, is spinning a number that is not less than 3.

Then, that is spinning a number that is equal to or greater than 3.

The numbers that are equal to  or greater than four, for a spinner that has the numbers 1, 2, 3, and 4 are 3 and 4.

Thus, the complement of spinning any number less than 3 is spinning a three or a four.

8 0
3 years ago
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