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salantis [7]
4 years ago
5

A survey of several 9 to 11 year olds recorded the following amounts spent on a trip to the mall: $10.31,$17.22,$26.62,$22.84 Co

nstruct the 98% confidence interval for the average amount spent by 9 to 11 year olds on a trip to the mall. Assume the population is approximately normal. Step 1 of 4 : Calculate the sample mean for the given sample data. Round your answer to two decimal places.
Mathematics
1 answer:
dimaraw [331]4 years ago
8 0

Answer:

Step-by-step explanation:

From the information given,

Mean, μ = (10.31 + 17.22 + 26.62 + 22.84)/4 = 19.2475

Standard deviation, σ = √summation(x - mean)/n

Summation(x - mean) = (10.31 - 19.2475)^2+ (17.22 - 19.2475)^2 + (26.62 - 19.2475)^2 + (22.84 - 19.2475)^2 = 151.249475

σ = √(151.249475/4)

σ = 6.15

number of sample, n = 4

The z score for 98% confidence interval is 2.33

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

19.2475 ± 2.33 × 6.15/√4

= 19.2475 ± 2.33 × 3.075

= 19.2475 ± 7.16

The lower end of the confidence interval is 19.2475 - 7.16 = 12.09

The upper end of the confidence interval is 19.2475 + 7.16 = 26.41

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sukhopar [10]

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To find:

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Total cost = Fixed cost + Variable cost

f(t)=100+10t

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Now, if the hourly rate were halved. Then,

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So, total variable cost is $5t and total cost function is

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So, the required function is g(t)=100+5t.

7 0
3 years ago
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Archy [21]

Answer:

She swam a total distance of 2  1/4 miles in those three days.

Step-by-step explanation:

Okay, so- The first thing you need to do is make all denominators equal to make these fractions able to be added together. So, I made all denominators 12. (Tell me if you don't know how to make them all the same denominator, and I'll be happy to help!)

<u>2/3  =  8/12   </u>

<u>3/4  =  9/12 </u>

<u>5/6  =  10/12</u>

Then, I added the numerators together. Like this:

<u>8 + 9 + 10 = 27 </u>

So, this would be:

<u>27/12</u>

Lastly, I changed this improper fraction to a mixed number. I multiplied the denominator twice because it looked like it would be closest to 27 without going over.

<u>12 * 2 = 24 </u>

<em>The "2" will be the whole number in the mixed fraction.</em> Now, I'm going to subtract 24 from the numerator.  

<u>27 - 24 = 3 </u>

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After simplified, the fraction will be:

2 1/4  

<h3>Hope this helps! Let me know if you need help with something else or if you have questions about this problem !</h3>

8 0
3 years ago
On a grid, what is the distance between two points located at (2,1) and (14,6)
erastova [34]
√(y2-y1)²+(x2-x1))

Simple Pythagorean Theorem.....

√(12)²+(5²))
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3 0
3 years ago
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Andrew [12]

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I'm not very good at explaining but hope this helps ! :)

4 0
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