1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
artcher [175]
3 years ago
10

A research company desires to know the mean consumption of meat per week among people over age 40. A sample of 610 people over a

ge 40 was drawn and the mean meat consumption was 3.1 pounds. Assume that the population standard deviation is known to be 1.1 pounds. Construct the 85% confidence interval for the mean consumption of meat among people over age 40. Round your answers to one decimal place.
Mathematics
1 answer:
Papessa [141]3 years ago
5 0

Answer: (3.0,\ 3.2)

Step-by-step explanation:

Confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}  (1)

, where \overline{x} = Sample mean

z_{\alpha/2}= Critical z-value

\sigma = Population standard deviation.

n= Sample size.

As per given , we have

n= 610

\sigma=1.1

\overline{x}=3.1

Significance level for 85% confidence : \alpha=1-0.85=0.15

By z-table critical two tailed z-value : z_{\alpha/2}=z_{0.075}=1.44

Put all values in (1) , we get

3.1\pm 1.44\dfrac{1.1}{\sqrt{610}}

3.1\pm 1.44\dfrac{1.1}{24.698}

3.1\pm 0.064

=(3.1-0.064,\ 3.1+0.064)=(3.036,\ 3.164)\approx(3.0,\ 3.2)

Hence, the 85% confidence interval for the mean consumption of meat among people over age 40.  = (3.0,\ 3.2)

You might be interested in
If a painting is 185 dollars and is marked up 125 percent, how much money is the markup, and what is the retail price?
Leni [432]
The markup is $46.25 and the final price is $231.25
7 0
2 years ago
Read 2 more answers
Twice a number is 16 greater than two times the opposite of the number. What is the number
kodGreya [7K]

Answer:

4

Step-by-step explanation:

Let's say our number is n.

First, we have two times a number. This can be represented by 2 times our number, n, or 2*n

Next, we have that is 16 greater than ... It is hard to conceptualize what 2*n is 16 greater than, so we can move on and save this for later.

Furthermore, we have two times the opposite of the number. Opposite represents the opposite side of a number line, e.g. if the number was 5, the opposite would be -5. This can be represented by multiplying our number n by -1, or -1 * n = -n. We then take two times of this opposite, or 2 * -1 * n = -2 * n.

So far, we have 2*n is 16 greater than -2 * n. We can then say that if a first number is 16 greater than a second number, we must add 16 to the second number to get the first number. Applying that here, we can say that 2*n = -2*n + 16

We then have

2*n = -2*n + 16

We then want to separate the n from the real number(s) (16 in this case). To do that, we can add 2*n to both sides, making our equation

2*n+2*n = 16

4*n = 16

Then, we can finally divide both sides by 4 to get

n = 4

6 0
3 years ago
X<br> What is 4 4/5x4 3/5
Marina CMI [18]

Answer:

16 12/5= 18 2/5

Step-by-step explanation:

you get the answer and then simplify it to become a mixed number

8 0
3 years ago
Helpppppppppppppppppppppppppppppppp
Elena-2011 [213]
The answer is D.) (4,-1) Because all you need to do is put in the numbers into the equation to make sure it equals 16
8 0
3 years ago
Read 2 more answers
(100 POINTS) lol help me plz
pishuonlain [190]

Since <em>l</em> and <em>m</em> are parallel, the unlabeled angle adjacent to the 63° one also has measure (7<em>x</em> - 31)° (it's a pair of alternating interior angles).

Then the three angles nearest line <em>m</em> are supplementary so that

(7<em>x</em> - 31)° + 63° + (5<em>x</em> - 8)° = 180°

Solve for <em>x</em> :

(7<em>x</em> - 31) + 63 + (5<em>x</em> - 8) = 180

12<em>x</em> + 24 = 180

12<em>x</em> = 156

<em>x</em> = 13

The bottom-most angle labeled with measure (4<em>y</em> + 27)° is supplementary to the angle directly adjacent to it, so this unlabeled angle has measure 180° - (4<em>y</em> + 27)° = (153 - 4<em>y</em>)°. The interior angles of any triangle have measures that sum to 180°, so we have

(7<em>x</em> - 31)° + 63° + (153 - 4<em>y</em>)° = 180°

We know that <em>x</em> = 13, so 7<em>x</em> - 31 = 60. Then this simplifies to

123° + (153 - 4<em>y</em>)° = 180°

Solve for <em>y</em> :

123 + (153 - 4<em>y</em>) = 180

276 - 4<em>y</em> = 180

96 = 4<em>y</em>

<em>y</em> = 24

7 0
2 years ago
Other questions:
  • The sum of two numbers, x and y, is 12. The difference of x and two times y is 6. What are the values of x and y?
    14·2 answers
  • Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the
    7·2 answers
  • The ratio of cookies of mike is 3:1. if there are 25 glasses of milk, how many cookies are there
    8·2 answers
  • Kaya used 7 cups of flour to bake 5 cakes how much flour on average did she put in each cake ? Write your answer as a decimal.
    7·2 answers
  • ||2x+1|+6|&gt;=0 plz answer asap
    12·1 answer
  • What are the zeros of this polynomial: p(x)=4x(x-3)(x+1)(2x-5)
    14·2 answers
  • 2^5x=6 rounded to the nearest hundredth
    9·2 answers
  • Is it Y-axis or X-axis I need by 11:30
    13·2 answers
  • PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·2 answers
  • Write an equation in slope-intercept form for the line with slope -1/4
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!