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
noname [10]
3 years ago
8

The following data gives the speeds (in mph), as measured by radar, of 10 cars traveling north on I-15. 76 72 80 68 76 74 71 78

82 65 Assuming that the speeds of all cars traveling on this highway have a normal distribution, construct a 90% confidence interval for the mean speed of all cars traveling on this highway. Round to 3 decimal places.
Mathematics
1 answer:
____ [38]3 years ago
8 0

Answer:

71.123 mph ≤ μ ≤ 77.277 mph

Step-by-step explanation:

Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:

m-t_{a/2,n-1}\frac{s}{\sqrt{n} } ≤ μ ≤ m+t_{a/2,n-1}\frac{s}{\sqrt{n} }

Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and t_{a/2,n-1} is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.

the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.

So, if we replace m by 74.2, s by 5.3083, n by 10 and t_{0.05,9} by 1.8331, we get that the 90% confidence interval for the mean speed is:

74.2-(1.8331)\frac{5.3083}{\sqrt{10} } ≤ μ ≤ 74.2+(1.8331)\frac{5.3083}{\sqrt{10} }

74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077

71.123 ≤ μ ≤ 77.277

You might be interested in
Find the area of a triangle whose height is 2xand base is 2x+2
Charra [1.4K]
I hope this helps you

4 0
3 years ago
Solve the equation.<br> 2/3b - 1/3b +12= 16
Elena-2011 [213]

Answer:

b=1/12 or just 12

Step-by-step explanation:

combine like terms

1/3b +12=16

subtract 12 on both sides

1/3b=4

divided both sides with 1/3

b= 12 or 1/12

hope this helps.. :/

8 0
3 years ago
19. Find the value of X (In the picture) (giving points to best answer/brainlest)​
Tema [17]

Answer:

x = 61 degrees

Step-by-step explanation:

The triangle on the right is isosceles and the base angles are congruent

the sum of the inner angles of a triangle is 180 degrees

2 * 74 + y = 180

148 + y = 180

y = 32 degrees

the total angle is 90 degrees

so we have that

90 - 32 = 58 degrees

Also the left triangle is isosceles, so we have

2x + 58 = 180

2x = 122

x = 61 degrees

7 0
3 years ago
I'm lost on this please help
Natasha2012 [34]

Answer:

integer-4

proper fraction-1/10

improper fraction-0/4

Step-by-step explanation:

do not copy in the internet

8 0
3 years ago
Round to the nearest tenth. Asanji took a trip to Mexico. Upon leaving he decided to convert all of his Pesos back into dollars.
My name is Ann [436]
He would have around 15 dollars 
4 0
3 years ago
Read 2 more answers
Other questions:
  • hayden is planning a party he bakes 21 cookies if he plans to give each person 3 cookies how many people will be at his party
    7·1 answer
  • If each tire costs $58.49 and if we estimate the cost of 4 tires. how much would it cost. A.$180.
    6·1 answer
  • What is 2(1x+4)= 2x+5
    8·2 answers
  • Which value of y would make OP || LN ?
    14·1 answer
  • If the total bill at a restaurant was $43.58, how much tip would you leave if you left a 15% tip?
    15·2 answers
  • F= 9/5c + 32 <br>solve for C​
    8·1 answer
  • Find side b if side a = 10 inches and side c = 16 inches.Round to the nearest hundredth if the answer is uneven
    9·1 answer
  • What is the value of this expression 1/4−3 ? 12 1/12 64 1/64
    11·1 answer
  • Find the point of intersection of the lines:
    6·2 answers
  • For a right triangle ABC, you are told that cos A=X and sun A=y. Which option gives an expression that is equivalent to tan A? X
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!