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V125BC [204]
3 years ago
13

Suppose you are interested in determining if the average amount of money that students spend on food at your university per day

is greater than $30. You randomly choose 25 students from your campus and calculate that the mean amount of money spent per day is $18.01 with a standard deviation of $2.22. What is the standard error of the mean?
Mathematics
1 answer:
aivan3 [116]3 years ago
6 0

Answer:

<u>The standard error of the mean is 0.444</u>

Step-by-step explanation:

1. Let's review the information given to us for solving the question:

Size of the sample = 25

Mean amount of money spent per day = US$ 18.01

Standard deviation  =  US$ 2.22

2. For finding the standard error of the mean, we use the following formula:

Standard error = Standard deviation / √Size of the sample

Standard error = 2.22 / √25

Standard error = 2.22 / 5

<u>Standard error = 0.444</u>

3. Interpretation of the standard error:

The standard error is "the standard deviation of the population of values of a sample statistic in a repeated sampling or its estimate".

Thus, the potential for error in the reported result is not more than ± 0.444 (68% confidence) or no more than 1.96 times the standard error (0.444) = ± 0.87 (at 95% confidence).

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There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45
4vir4ik [10]
I'm only going to complete Part B. The other two are a bit easier and I believe you can do it! :D
Neighborhood A
----------------------------
Year 1: 30 increased by 20% = 6 more homes.
Year 2: 36 increased by 20% = 7.2 more homes ... 7 more homes. You cannot round in these types of problems.
Year 3: 43 increased by 20% = 8.6 ... 8 more homes.
Year 4: 51 increased by 20% = 10.2 ... 10 more homes.
Year 5: 61 increased by 20% = 12.2 ... 12 more homes.
At the end of 5 years Neighborhood A will have 73 homes in total.

Neighborhood B
---------------------------
Year 1: 45 +3 = 48
Year 2: 48 +3 = 51
Year 3: 51 +3 = 54
Year 4: 54 +3 = 57
Year 5: 57 +3= 60 homes
After 5 years Neighborhood B will have 60 homes.
Hope this helped! I will do Part A or Part C later if I have time and you still need assistance. 
3 0
2 years ago
3. Simplify the expression -3(4x -2) -2x<br><br> A. -8x<br> B.-16x<br> C.-14x -2<br> D.-14x+ 6
beks73 [17]
I got C. -14x - 2
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7 0
2 years ago
What is the value of x?
romanna [79]

Answer:

x = 8°

y = 6°

Step-by-step explanation:

Hello!

All 3 sides of the triangle are equal, indicating that it is an equilateral triangle. The rules of this particular triangle say that all angles are equal to 60°.

We can solve for x by setting the equation 7x+4 to 60.

<h3>Solve for x</h3>
  • 7x + 4° = 60°
  • 7x° = 56°
  • x = 8°

The value of x is 8°.

We can go ahead and solve for y by setting that equation to 60°.

<h3>Solve for y</h3>
  • 8y + 12° = 60°
  • 8y = 48°
  • y = 6°

The value of y is 6°.

5 0
2 years ago
Not sure how to do this, I will give Brainiest for step-by-step instructions.
Mkey [24]
Find 2 coordinates on the graph : (0, -20) and (10, 10)

Slope = (10 - (-20) ) / (10 - 0) = 30/10 = 3

Slope = 3

y-intercept = (0, - 20)

Equation : y = 3x - 20

Since the right hand side is shaded,  the equation is y > 3x - 20.
4 0
3 years ago
Anna enjoys dinner with her family at a restaurant in Washington, D.C. She leaves a 15% tip on the price of her meal. She also h
AnnZ [28]

Answer:

$22

Step-by-step explanation:

tax and the tip increase the price paid for the meal

she paid 15 + 10 = 25% more than the price of her meal

p = original price

1.15 x p = 27,50

p = 27.50 / 1.15 = 22

3 0
2 years ago
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