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Marina86 [1]
3 years ago
13

The reserve capacities (in hours) of 18 randomly selected automotive batteries are listed. Use a 99% level of confidence. (Adapt

ed from Consumer Reports) 1.70 1.60 1.94 1.58 1.74 1.60 1.86 1.72 1.38 1.46 1.64 1.49 1.55 1.70 1.75 0.88 1.77 2.07
Mathematics
1 answer:
BartSMP [9]3 years ago
7 0

Answer:

99% confidence interval is (1.75, 5.61)

Step-by-step explanation:

From the data above, mean is 3.68 and sd is 2.06. n = 18, degree of freedom = n-1 = 18-1 = 17. t-value corresponding to 17 degrees of freedom and 99% confidence level is 3.965

Confidence Interval (CI) = mean + or - (t×sd)/√n

CI = 3.68 + (3.965×2.06)/√18 = 3.68 + 8.1679/4.243 = 3.68 + 1.93 = 5.61

CI = 3.68 - (3.965×2.06)/√18 = 3.68 - 8.1678/4.243 = 3.68 - 1.93 = 1.75

99% confidence interval is (1.75, 5.61)

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A monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can cover 202 ft^2 , how many g
Dvinal [7]

Answer:

10 gallons

Step-by-step explanation:

Area of one rectanglular side

10 * 44 = 440

Area of trangular one triangular "roof"

(1/2)10 * 9 = 45

Total area = 4(440 + 45) = 1,940

---------------------------

Paint needed

1940 / 202 = 9.6

10 gallons

5 0
2 years ago
What is the eighth term of the arithmetic sequence? An=<br> 10n – 14?
Alja [10]

Answer:

A8 = 66 [8th term]

Step-by-step explanation:

Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)

To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.

So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.

3 0
3 years ago
Engineers want to design passenger seats in commercial aircraft so that they are wide enough to fit 95 percent of adult men. Ass
zimovet [89]

Answer:

z=1.64

And if we solve for a we got

a=14.4 +1.64*1.1=16.204

The 95th percentile of the hip breadth of adult men is 16.2 inches.

Step-by-step explanation:

Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:

X \sim N(14.4,1.1)  

Where \mu=14.4 and \sigma=1.1

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64

Using this value we can set up the following equation:

P(X  

P(z

And we have:

z=1.64

And if we solve for a we got

a=14.4 +1.64*1.1=16.204

The 95th percentile of the hip breadth of adult men is 16.2 inches.

8 0
3 years ago
181 is 22% of what number?
baherus [9]

Answer:

Step-by-step explanation:822.73

6 0
3 years ago
Read 2 more answers
Finding the geometric mean
grigory [225]

Answer:

To find the geometric mean of two numbers, just find the product of those numbers and take the square root!

Step-by-step explanation:

4 0
2 years ago
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