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
a bakery uses 475 pounds of apples to make a thousand apple tarts each tart contains the same amount of apples how many pounds o
nignag [31]
The answer is 0.475 of apples are used in each tart
6 0
3 years ago
Read 2 more answers
PLEASE HELP ITSFOR GEOMETRY DO NOT WASTE ANSWERS WILL MARK BRAINLIEST
iris [78.8K]

Answer:

26 miles

Step-by-step explanation:

use pythagorean theorem to find that from post office to stevie's is 10 miles long( 6^2 + 8^2=100, and the square root of 100 is 10) then add the total distence together and get 8+8+10=26

3 0
3 years ago
Sheila is building an addition to a house. The points E(- 1 1/2, -2 1/2), F(4 1/2, -2 1/2), G(4 1/2, 3 1/2), and H (9-1 1/2, 3 1
Helga [31]

Answer:

24 units

Step-by-step explanation:

8 0
2 years ago
What's 3x + 10 - x + 12
Zinaida [17]
2x+22 is the answer.
5 0
3 years ago
Read 2 more answers
Which quadratic function has a wider graph than y=2x^2?
ioda

so all those quadratics have their parent y = x², which has the graph of a "bowl".

and depending on the coefficient, the bowl is wider or not.

the larger the coefficient, the narrower the bowl, the smaller the coefficient, the wider the bowl.

well, 1/2 is smaller then 2, thus y = (1/2)x² is wider than y = 2x².

7 0
3 years ago
Other questions:
  • What is 63 divided by 268 ?
    14·1 answer
  • A scientist in the lab is measuring a beetle to be 32 millimeters long, how much is that in meters?
    11·2 answers
  • The distribution of the values of a population is shown below, and a simple random sample is drawn from th
    10·1 answer
  • Please answer this multiple choice question CORRECTLY for 30 points and brainliest!!
    5·1 answer
  • Helpplsssssssssssssss number 2
    15·1 answer
  • It would be nice if someone can help me. i’m failing school and i really need help. thank you:).
    6·1 answer
  • YOO LAST ONE HELP OUT
    5·1 answer
  • Write the slope-intercept form of the equation of the line
    10·1 answer
  • 3x-4y+11 for x-2 and y-1
    7·1 answer
  • Which inequality is true
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!