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
miv72 [106K]
3 years ago
5

A random sample of 10 parking meters in a beach community showed the following incomes for a day. Assume the incomes are normall

y distributed. $3.60 $4.50 $2.80 $6.30 $2.60 $5.20 $6.75 $4.25 $8.00 $3.00 Find the 95% confidence interval for the true mean.
Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0

Answer: (2.54,6.86)

Step-by-step explanation:

Given : A random sample of 10 parking meters in a beach community showed the following incomes for a day.

We assume the incomes are normally distributed.

Mean income : \mu=\dfrac{\sum^{10}_{i=1}x_i}{n}=\dfrac{47}{10}=4.7

Standard deviation : \sigma=\sqrt{\dfrac{\sum^{10}_{i=1}{(x_i-\mu)^2}}{n}}

=\sqrt{\dfrac{(1.1)^2+(0.2)^2+(1.9)^2+(1.6)^2+(2.1)^2+(0.5)^2+(2.05)^2+(0.45)^2+(3.3)^2+(1.7)^2}{10}}

=\dfrac{30.265}{10}=3.0265

The confidence interval for the population mean (for sample size <30) is given by :-

\mu\ \pm t_{n-1, \alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given significance level : \alpha=1-0.95=0.05

Critical value : t_{n-1,\alpha/2}=t_{9,0.025}=2.262

We assume that the population is normally distributed.

Now, the 95% confidence interval for the true mean will be :-

4.7\ \pm\ 2.262\times\dfrac{3.0265}{\sqrt{10}} \\\\\approx4.7\pm2.16=(4.7-2.16\ ,\ 4.7+2.16)=(2.54,\ 6.86)

Hence, 95% confidence interval for the true mean= (2.54,6.86)

You might be interested in
Suppose you have three consecutive integers.The greatest of the three integers is twice as great as the sum of the first two.Wha
vredina [299]

Answer:

0, 1, 2

Step-by-step explanation:

So, since there are three consecutive integers, you have the equations

x, x+1, x+2 where x is the smallest number.

The greatest of the three integers= x+2

Finish setting up your equation;

2(x+x+1)=x+2

Combine like terms;

2(2x+1)=x+2

Distribute;

4x+2=x+2

3x=0

x=0

x+1=1

x+2=2

Hope this helps:) Have a good day!

8 0
3 years ago
Mai conducted an experiment by flipping a fair coin 200 times. The coin landed heads up 110 times. Which statement about
Nitella [24]
Answer:

B

Explanation:

Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

The empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
8 0
3 years ago
Read 2 more answers
Suppose f(x)=x.Find the graph of f(x)+4
Anton [14]

Answer:

Step-by-step explanation: the slope would be 1 and the y intercept would be 4.

3 0
3 years ago
The price of an item has dropped to $46 today yesterday was $115 find the percent decrease
Svetach [21]
Using cross multiply and divide the equation looks like so 46/115 next to x/100 to get an answer of 40%
6 0
3 years ago
Read 2 more answers
What is the value of the discriminant for the quadratic equation –3 = –x^2 + 2x?
ANTONII [103]
A. -8 Because there’s a negative in -4ac
5 0
3 years ago
Other questions:
  • F(x) = 2x2. What is f(3)?
    13·1 answer
  • If you are rally good at math ( transformations of functions ) can you comment on this so I know if someone will help in a timel
    8·1 answer
  • A submarine dives at an angle of 13 degrees to the surface of the water. The submarine travels at a speed of 760 feet per minute
    12·1 answer
  • Please help!! I will mark the brainlest if it’s correct
    15·1 answer
  • Find the greatest common factor of -30 x4yz3 and 75 x4z2 .<br> ____x^? Z^?
    14·2 answers
  • Pls Some Help me Asap Hot ta Get this done in 1st per
    8·1 answer
  • Sun spot activity goes in an eleven-year cycle. The last cycle started in 2008 and ended in 2018. Here is the activity per year
    9·1 answer
  • Plz help I have a time limit
    12·1 answer
  • Suppose you have rolled a six-sided die fifty times and recorded the result of each roll.
    5·1 answer
  • Can someone please help me I'm not very good at calculating slope for some reason no matter how hard I try and this equation I'v
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!