The prices (in dollars) for a particular model of digital camera with 6.0
megapixels and an optical 3X zoom lens are shown here for 10 randomly selected online
retailers. Find 95% confidence interval of the true mean price for this particular
model.
225 240 215 206 211 210 193 250
225 202

Using the data given, the 95% confidence interval of the true mean is (205.20 ; 230.20)

Given the data :

The confidence interval is defined as :

Since, sample size ls less than 30 we use a t-distribution table :

[tex] C.I = \bar{x} ± t_{α/2, n-1} \frac{s}{\sqrt{n}}[/tex]

Using a calculator :

Lower boundary = [tex] 217.7 - 2.26(\frac{17.49}{\sqrt{10}}) = 205.20[/tex]

Lower boundary = [tex] 217.7 + 2.26(\frac{17.49}{\sqrt{10}}) = 230.20[/tex]

Therefore, the confidence interval is (205.20 ; 230.20)

Learn more :https://brainly.com/question/25173276

The confidence interval is simply a range that contains the true mean of the population

The 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]

The given parameter is:

[tex]\mathbf{n = 10}[/tex]

Start by calculating the degree of freedom

[tex]\mathbf{df = n - 1}[/tex]

[tex]\mathbf{df = 10 - 1}[/tex]

[tex]\mathbf{df = 9}[/tex]

Next, calculate the mean

[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]

[tex]\mathbf{\bar x = \frac{225 + 240 + 215 + 206 + 211 + 210 + 193 +250 + 225 + 202}{10}}[/tex]

[tex]\mathbf{\bar x = \frac{2177}{10}}[/tex]

[tex]\mathbf{\bar x = 217.7}[/tex]

Calculate the standard deviation

[tex]\mathbf{\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}}[/tex]

[tex]\mathbf{\sigma = \sqrt{\frac{(225 -217.7)^2+ (240 -217.7)^2+..........+ (202 -217.7)^2}{10-1}}}[/tex]

[tex]\mathbf{\sigma = \sqrt{\frac{2752.1}{9}}}[/tex]

[tex]\mathbf{\sigma = 17.49}[/tex]

Calculate the standard error

[tex]\mathbf{SE = \frac{\sigma}{\sqrt n}}[/tex]

[tex]\mathbf{SE = \frac{17.49}{\sqrt {10}}}[/tex]

[tex]\mathbf{SE = 5.53}[/tex]

At 95%, df = 9. the t-value is:

[tex]\mathbf{t= 2.262}[/tex]

So, the confidence interval is:

[tex]\mathbf{CI = \bar x \pm t \times SE}[/tex]

So, we have:

[tex]\mathbf{CI = 217.7 \pm 2.262 \times 5.53}[/tex]

Split

[tex]\mathbf{CI = (217.7 - 2.262 \times 5.53, 217.7+ 2.262 \times 5.53)}[/tex]

[tex]\mathbf{CI = (205,19, 230.20)}[/tex]

Hence, the 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]

Read more about confidence intervals at:

https://brainly.com/question/2396419

t (x) = 5x^2- 3x+4, what is the value t (-3)?

Solve: (x - y)/(sqrt(x) + 1) = 2 + (sqrt(x) - 5)/3​

Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with
multiplicity 2?
Of(x) = 2(x + 7)(x + 5)(x - 2)
Of(x) = 2(x-7)(x - 5)(x + 2)
Of(x) = (x + 7)(x + 5)(x + 5)(x - 2)
of(x) = (x-7)(x-5)(x - 5)(x + 2)
Mark this and return
Save and Exit
Next
Sb

I need help pleaseeeee

Flying at an average speed of 525 miles per hour, how far can a
passenger fly in 2 hours, in 3 hours, and in 4 hours?

I need help with this question:

victor want to make a book tower of height 48 cm .If the thickness of book is 12 mm ,how many books will he need to make the desire height ?​

A radio station requires DJs to play 2 commercials for every 10 songs they play. What is the unit rate of songs to commercials.​

Please help
10 points and I will give you brainliest

What do I put in the blank box? Could you also add step by step explanation? If you cant its fine :)

Find the equation in slope-intercept form that describes line.
A line through (-1, 1) and (2,3)

Identify the domain and range of the following relation. {(7,-2), (7,4), (7,6), (7,-4), (7,1)

OMG PLS HELP ME N ANSWER

The expression -7y is a

a. term
b. variable
c. constant

Can you help me solve this please

What is the GCF of x^3y^5z^2 and x^4yz^5?
If your are confused the question is also in the picture down below

HELPOOPPPOOPFOLFMTMR ME

maths giving 10 point asap 1 question only





Find the value of P​

Question
Keith has $450 in a savings account at the beginning of the summer. He wants to have at least $120 in the account by the end of the summer. He withdraws $55 each week for food, clothes and move tickets. How many weeks can Keith withdraw money from his account?

2)
Where is the opposite of -10 located on a number line?
ght
X
A)
to the left of o
he
ning
1.28
Cools
B)
to the right of 0
C)
to the right of 12
D
to the left of -10?

Write the equation of the parabola in vertex form.
vertex (3,1), point (2, - 4).
f(x)=
)
w

g(-4)
if g(x)=x^2 - 4x

can someone help me ??

Which of the following is not true?


p+q = q+p
p x q = q x p
p x (q x r)=(p x q ) x r
p - q = q - p



Plz answer my exam is going on right now

7
10 points
One force of magnitude 48 acts on an object. Another force of magnitude 90 acts on the object at a right angle, what is the magnitude of the resultant force on the object?
Type your answer...

You’ve decided to open a checking account. You know there are a number of differences with individual banking institutions. Name at least 3 good questions to ask to get started, and explain why knowing this information is helpful. Use complete sentences.

Tìm hàm số bậc nhất,biết đồ thị đi qua điểm (3;−2), song song với đường thẳng

′:3−2+1=0

What are two numbers whose product is 81 and their sum is -18?

what is 1+1?? i think its 11 bc yea like who even says that its 2?? GET YOURSELF TOGETERRRRRR EHHHEHEHEHEHEH <33. 6

Given: WX congruent yz
Prove: WYXZ