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
ella [17]
3 years ago
7

A nutrition laboratory wants to construct a 95% confidence interval for the mean sodium content of "reduced sodium" hot dogs. A

preliminary study of reduced sodium hot dogs gives a standard deviation of 25mg of sodium. How many hot dogs should the researchers sample in order for the width of their confidence interval to be no more than 10 mg?
Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

Answer:

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

Step-by-step explanation:

Given;

Standard deviation r= 25mg

Width of confidence interval w= 10mg

Confidence interval of 95%

Margin of error E = w/2 = 10mg/2 = 5mg

Z at 95% = 1.96

Margin of error E = Z(r/√n)

n = (Z×r/E)^2

n = (1.96 × 25/5)^2

n = (9.8)^2

n = 96.04

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

You might be interested in
(5) Find the Laplace transform of the following time functions: (a) f(t) = 20.5 + 10t + t 2 + δ(t), where δ(t) is the unit impul
Aloiza [94]

Answer

(a) F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}

(b) F(s) = \frac{-1}{s + 1} - \frac{4}{s + 4} - \frac{4}{9(s + 1)^2}

Step-by-step explanation:

(a) f(t) = 20.5 + 10t + t^2 + δ(t)

where δ(t) = unit impulse function

The Laplace transform of function f(t) is given as:

F(s) = \int\limits^a_0 f(s)e^{-st} \, dt

where a = ∞

=>  F(s) = \int\limits^a_0 {(20.5 + 10t + t^2 + d(t))e^{-st} \, dt

where d(t) = δ(t)

=> F(s) = \int\limits^a_0 {(20.5e^{-st} + 10te^{-st} + t^2e^{-st} + d(t)e^{-st}) \, dt

Integrating, we have:

=> F(s) = (20.5\frac{e^{-st}}{s} - 10\frac{(t + 1)e^{-st}}{s^2} - \frac{(st(st + 2) + 2)e^{-st}}{s^3}  )\left \{ {{a} \atop {0}} \right.

Inputting the boundary conditions t = a = ∞, t = 0:

F(s) = \frac{20.5}{s} - \frac{10}{s^2} - \frac{2}{s^3}

(b) f(t) = e^{-t} + 4e^{-4t} + te^{-3t}

The Laplace transform of function f(t) is given as:

F(s) = \int\limits^a_0 (e^{-t} + 4e^{-4t} + te^{-3t} )e^{-st} \, dt

F(s) = \int\limits^a_0 (e^{-t}e^{-st} + 4e^{-4t}e^{-st} + te^{-3t}e^{-st} ) \, dt

F(s) = \int\limits^a_0 (e^{-t(1 + s)} + 4e^{-t(4 + s)} + te^{-t(3 + s)} ) \, dt

Integrating, we have:

F(s) = [\frac{-e^{-(s + 1)t}} {s + 1} - \frac{4e^{-(s + 4)}}{s + 4} - \frac{(3(s + 1)t + 1)e^{-3(s + 1)t})}{9(s + 1)^2}] \left \{ {{a} \atop {0}} \right.

Inputting the boundary condition, t = a = ∞, t = 0:

F(s) = \frac{-1}{s + 1} - \frac{4}{s + 4} - \frac{4}{9(s + 1)^2}

3 0
3 years ago
Evaluate the function f(x)= -2x +1 for f(3). <br><br> A)-5<br> B)6<br> C)7<br> D)10
pantera1 [17]
<span>f(x)= -2x +1 for f(3)

f(3) = -2(3) + 1 = -5

answer
</span><span>A)-5</span>
4 0
2 years ago
Read 2 more answers
Name Perfect squares
Aleks04 [339]

<em>Answer:</em>

<em>The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 and so on.......</em>

Step-by-step explanation:

7 0
3 years ago
Helppppppppppppppppp
Elan Coil [88]

Answer:

B

Step-by-step explanation:

You can see B has the points kind of clustered around it.

3 0
2 years ago
What is the y-intercept of the line?<br><br> y= -2x - 8<br><br> y-intercept =
ivolga24 [154]

Like I said on the other question. Slope will ALWAYS be the number beside x and y-intercept will always be after that.

Slope-intercept form = y = mx + b

Slope goes where m is and y-intercept goes where b is.

Hope this helps!

3 0
3 years ago
Read 2 more answers
Other questions:
  • One-eighth of the 32 students in the class went abroad for fall break. How many students went abroad?
    10·1 answer
  • Factoring 0=6X^2+x-7
    15·1 answer
  • Mia saved $95.25 in 3 months. She saved $49.00 in the first month and $7.43 in the second month. How much money did Mia save in
    11·2 answers
  • Does anybody <br> know the answer
    15·2 answers
  • Which of the following statements are true? Check all that apply.
    14·1 answer
  • A square has a length of 2(m+3). What is the perimeter of the square?
    14·2 answers
  • What is 1,200/2,000 in a fraction
    5·1 answer
  • Vince has a rectangle rug in his room with an area of 10 feet. The length of the rug is 18in longer than the width. What are the
    15·2 answers
  • The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each month they received $5.50 as a credit on th
    9·2 answers
  • chris has 552 to hire ushers for a concert if she hires as many ushers as possible at $32 each how much money does she have left
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!