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Sliva [168]
3 years ago
11

A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. Assume the amou

nt of garbage per bin is normally distributed. In a random sample of 40 bins, the sample mean amount is 52.8 pounds and the population standard deviation is 3.9 pounds. Construct 95% and 99% confidence intervals for the mean amount of garbage per bin for all bins in the city. Don't use 68/95/99.7 rule; instead use R to compute the quantities such as quantiles.
Mathematics
1 answer:
irina [24]3 years ago
6 0

Answer: a) 51.592 b) 54.008 c) 51.213 d) 54.387

Step-by-step explanation:

a) lower limit of 95% interval

Lower limit = 52.8 - (1.96) (3.9/sqrt 40) = 51.592

b) upper limit of 95% interval

upper limit = 52.8 + (1.96) (3.9/sqrt 40) = 54.008

c) lower limit of 99% interval

Lower limit = 52.8 - (2.576) ( 3.9 / sqrt 40)= 51.213

d) upper limit of 99% interval

Upper limit = 52.8 + (2.576) ( 3.9 / sqrt 40) = 54.387

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ELEN [110]

Answer:

B) 7/9

Step-by-step explanation:

<h3>Fraction addition:</h3>
  • If the denominators are not same, find the LCM of the denominators.

          LCM of 3 and 9 is 9.

  • Now, find equivalent fractions with denominator as 9.

          \sf \dfrac{1}{3}=\dfrac{1*3}{3*3}\\\\

              \sf =\dfrac{3}{9}

  • Now add.

      \sf \dfrac{4}{9}+\dfrac{1}{3}=\dfrac{4}{9}+\dfrac{3}{9}\\\\

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4 0
1 year ago
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The life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation 16 hours. What is the
Katyanochek1 [597]

Answer:

x = 100 is equivalent to z = -1.75

Step-by-step explanation:

7 0
3 years ago
An object that starts at rest accelerates until it is moving at 247 km/h. If it takes 1.7 minutes for this change to occur what
fredd [130]

I figured out the answer Chaseashley24! The answer to your question is:

0.673 m/s²

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6 0
3 years ago
Finding area of shaded sectors.
tekilochka [14]

Answer:

69.81 sq. m. (rounded to 2 decimal places)

Step-by-step explanation:

The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

A=\frac{\theta}{360}*\pi r^2

Where

\theta  is the central angle

r is the radius

Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

\theta = 80

Also, the radius of the circle shown is 10 meters, so

r = 10

Now, we substitute in formula and find our answer:

A=\frac{\theta}{360}*\pi r^2\\A=\frac{80}{360}*\pi (10)^2\\A=\frac{2}{9}*100\pi\\A=\frac{200\pi}{9}\\A=69.81

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5 0
3 years ago
The table shows how many books the students in Bergdalsskolan list during the summer. There were 48 students who list 4 books. a
Juliette [100K]

Step 1:

First, find the total number of students.

Let the total number of students = m

Step 2:

Find the total number of students using the percentage of 4 books.

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Hence, there are 300 students.

a)

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72 students had 1 book.

b) What percentage more read 2 books than 4 books?

percentage that read 2 books = 36%

percentage that read 4 books = 16%

36 - 16 = 20%

There are 20% students that read 2 books than 4 books.

8 0
1 year ago
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