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
fiasKO [112]
3 years ago
7

A researcher is interested in estimating the mean weight of a semi tracker truck to determine the potential load capacity. She t

akes a random sample of 17 trucks and computes a sample mean of 20,000 pounds with sample standard deviation of 1,500. The 95% confidence interval for the population mean weight of a semi tracker truck is____________.
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
4 0

Answer:

(19229.11 ,20770.89)

Step-by-step explanation:

We are given the following information:

Sample size, n = 17

Sample mean = 20,000 pounds

Sample standard deviation = 1,500 pounds

Confidence level = 95%

Significance level = 5% = 0.05

95% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 16 and}~\alpha_{0.05} = \pm 2.119  

20000 \pm 2.119(\displaystyle\frac{1500}{\sqrt{17}} ) = 20000 \pm 770.89 = (19229.11 ,20770.89)  

You might be interested in
Help me out plssssssss
max2010maxim [7]
The answer to this is D
8 0
3 years ago
Bill and Eugene left the airport at the same time. They traveled in opposite directions. Eugene traveled 21.1 km/h faster than B
gizmo_the_mogwai [7]

Answer:

56.3 kilometers per hour

Step-by-step explanation:

We know D = RT

where

D is distance

R is rate (speed)

T is time

Let's Bill's rate be "x". Thus using equation we can write:

D = xt

We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:

D = (21.1 + x)t

D = 21.1t + xt

Now, putting t = 1 in both since after 1 hour given, we have:

D = x(1)

D = x

and

D = 21.1(1) + x(1)

D = 21.1 + x

We know the sum of both the distance is 133.7, so we can write:

x + 21.1 + x = 133.7

Solving for x:

2x = 133.7 - 21.1

2x = 112.6

x = 112.6 / 2

x = 56.3 km/hr

This is Bill's rate: 56.3 kilometers per hour

8 0
2 years ago
Solve the initial-value problem<br><br> y' = x^4 - \frac{1}{x}y, y(1) = 1.
natta225 [31]

The ODE is linear:

y'=x^4-\dfrac yx

y'+\dfrac yx=x^4

Multiplying both sides by x gives

xy'+y=x^5

Notice that the left side can be condensed as the derivative of a product:

(xy)'=x^5

Integrating both sides with respect to x yields

xy=\dfrac{x^6}6+C

\implies y(x)=\dfrac{x^5}6+\dfrac Cx

Since y(1)=1,

1=\dfrac16+C\implies C=\dfrac56

so that

\boxed{y(x)=\dfrac{x^5}6+\dfrac5{6x}}

4 0
3 years ago
Help please this is the only question I need
MArishka [77]

Answer:

6 m

Step-by-step explanation:

LO has a side length of 6 m, because similar triangles

4 0
2 years ago
Read 2 more answers
An artist receives 20% royalty on the retail price of his recordings. if he receives $36,000 in royalties, what is the dollar am
Nonamiya [84]
1% = 36000÷20= 1800
 100% = 100× 1800= 180000

 the dollar amount of the retail price of his recordings is $ 180000.
3 0
2 years ago
Read 2 more answers
Other questions:
  • During a chemical reaction, the function y=f(t) models the amount of a substance present, in grams, at time t seconds. At the st
    8·1 answer
  • Convert the point slope equation y - 2 = - 3/5(x + 2) into standard form.
    7·1 answer
  • mark just bought a new vacuum cleaner for $220. he used a 30% off coupon and then paid 5.1% sales tax. what was his final cost?
    8·1 answer
  • Stephanie went to the shoe store and bought two pairs of flip-flops one pair was 19.95 and the other was 23.55 if she had $50.00
    5·1 answer
  • At an aquarium, a tour of the shark tanks begins every 45 minutes. The dolphin show begins every 30 minutes. If the shark tour a
    11·2 answers
  • Austin is comparing the prices of two truck rental companies. Company A charges $4 per hour and an additional $70 as service cha
    6·1 answer
  • Select the correct answer from each drop-down menu.
    9·1 answer
  • A school paid $31.25 for each calculator. If the school spent $500 on calculators, how many did the school buy?
    7·2 answers
  • The initial points of a vector V are given.
    13·1 answer
  • If the water level in a lake drops by 14 feet, the water level will still be higher than the 20-foot mark that triggers restrict
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!