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
AveGali [126]
3 years ago
14

A survey conducted by the American Automobile Association showed that a family of four spends an average of $215.60 per day whil

e on vacation. Suppose a sample of 64 families of four vacationing at Niagara Falls resulted in a sample mean of $252.45 per day and a sample standard deviation of $77.50.
a. Develop a 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls (to 2 decimals). ( , )

b. Based on the confidence interval from part (a), does it appear that the population mean amount spent per day by families visiting Niagara Falls differs from the mean reported by the American Automobile Association?
Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0

Answer:

a) (233.09,271.80)

b) Yes  

Step-by-step explanation:

We are given the following information:

Population mean = $215.60

Sample mean = $252.45

Sample standard deviation = $77.50.

n = 64

Formula:

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

Putting the values, we get,

t_{critical}\text{ at degree of freedom 63 and}~\alpha_{0.05} = 1.998

252.45 \pm 1.998(\frac{77.50}{\sqrt{64}} ) = 252.45 \pm 19.355 = (233.09,271.80)

b) The mean amount spent per day by families visiting Niagara Falls differs from the mean reported by the American Automobile Association because the confidence interval lies above  $215.60

You might be interested in
the length of a rectangle is one more than four times its width. If the perimeter of the rectangle is 62 meteres, fing the dimen
Andrews [41]

Length (L): 4w + 1

width (w): w

Perimeter (P) = 2L + 2w

62 = 2(4w + 1) + 2(w)

62 = 8w + 2 + 2w

62 = 10w + 2

60 = 10w

6 = w

Length: L = 4w + 1 → 4(6) + 1 → 24 + 1 → 25

Answer: 6 meters x 25 meters

7 0
2 years ago
Jordan is another employee at the same coffee shop. He has worked there longer than Gabe and earns $3 more per hour than gabe
mel-nik [20]

Answer:

- Gabe earns 13.5 per hour

x ------------------ 4  ---- 8 --------- 12 ------ 16

Earnings ----- 57 ---- 111 ------- 165------ 219

Step-by-step explanation:

5 0
2 years ago
Which expression is the result of factoring the expression below by taking out its greatest common factor?
Nat2105 [25]

Answer:

c is the correct answer

8 0
3 years ago
Solve the inequality 4-5<25
SVETLANKA909090 [29]

Answer:

4_5=_1 then -1 is <25 25_1 25<-1

8 0
2 years ago
The standard error is the ______ a variance of b variance of the sampling distribution of c standard deviation of the sampling d
skad [1K]
I think that is the mean or the mode . I think more on mean

6 0
2 years ago
Other questions:
  • A piece of string is 325 centimeters long.
    12·1 answer
  • Select the correct answer from each drop-down menu,<br> and i =<br> fx=(10-31 and y=(3-10 then =
    5·2 answers
  • 90 minus 50 divided by 5 times 6 plus 2
    11·2 answers
  • Need help for study guide...REALLY APPRICIATED!!!
    13·1 answer
  • Write the given second order equation as its equivalent system of first order equations. u″+5u′+4u=0 u″+5u′+4u=0 use vv to repre
    14·1 answer
  • Ayesha wanted her friend to draw a shape. Ayesha said at least one pair of opposite sides must be parallel. Which of the followi
    9·2 answers
  • Solve the following literal equation for w X = wy/c
    10·1 answer
  • Put the differential equation 9ty+ety′=yt2+81 into the form y′+p(t)y=g(t) and find p(t) and g(t). p(t)= help (formulas) g(t)= he
    15·1 answer
  • A rocket is launched with an initial upward velocity of 320 feet per second from an initial height of 15 feet.
    14·1 answer
  • Can someone please help?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!