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notka56 [123]
3 years ago
11

A cruise company would like to estimate the average beer consumption to plan its beer inventory levels on future​ seven-day crui

ses.​ (The ship certainly​ doesn't want to run out of beer in the middle of the​ ocean!) The average beer consumption over 1717 randomly selected​ seven-day cruises was 82 comma 35782,357 bottles with a sample standard deviation of 4 comma 4924,492 bottles. Complete parts a and b below. a. Construct a 95​% confidence interval to estimate the average beer consumption per cruise. The 95​% confidence interval to estimate the average beer consumption per cruise is from a lower limit of (blank) bottles to an upper limit of (blank) bottles.
​(Round to the nearest whole​ numbers.)

b. What assumptions need to be made about this​population?

A.

The only assumption needed is that the population size is larger than 30.

B.

The only assumption needed is that the population follows the​Student's t-distribution.

C.

The only assumption needed is that the population distribution is skewed to one side.

D.

The only assumption needed is that the population follows the normal probability distribution.
Mathematics
1 answer:
Citrus2011 [14]3 years ago
7 0
I think the correct one is C
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Two airplanes are flying to the same airport. Their positions are shown in the graph. Write a system of linear equations that re
wariber [46]

Answer:

Airplane #1 equation: y=5/13x+42/13

Airplane #2 equation: y=1/3x+14

Step-by-step explanation:

So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be  y=1/3x+14.

Hope this helps

6 0
3 years ago
HELP! HELP! SAVE ME FROM THIS NIGHTMARE!!!
bazaltina [42]

Answer: x ≥ 6

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati
luda_lava [24]

Answer:

The standard deviation of the data set is \sigma = 12.7906.

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}

we use the following formula

                                             \sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }

Step 1: Find the mean \left( \overline{X} \right).

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                     Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}

Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 1472.4

Step 4: Calculate σ using the above formula.

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906

3 0
3 years ago
1. If $18,000 is invested at 6% compounded monthly, what is the amount after 7 years?
stira [4]
P = 18,000
R=6%
T=7 years

A = P ( 1 + 1 divided by r) raised to n
Substitute the numbers an u will fin the answer
8 0
2 years ago
What are the dimensions of the prism and what is the volume
Bess [88]

Answer:

in steps

Step-by-step explanation:

base width: 1/2 x 5 = 2.5

base length: 1/2 x 4 = 2

height: 1/2 x 3 = 1.5

Volume: lwh = 2.5 x 2 x 1.5 = 7.5 in³

5 0
3 years ago
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