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
lisabon 2012 [21]
3 years ago
9

Connecticut families were asked how much they spent weekly on groceries. Using the following data, construct and interpret a 95%

confidence interval for the population mean amount spent on groceries (in dollars) by Connecticut families. Assume the data come from a normal distribution
210 23 350 112 27 175 275 50 95 450
Mathematics
1 answer:
Amanda [17]3 years ago
7 0

Answer:

The 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

Step-by-step explanation:

The data for the amount of money spent weekly on groceries is as follows:

S = {210, 23, 350, 112, 27, 175, 275, 50, 95, 450}

<em>n</em> = 10

Compute the sample mean and sample standard deviation:

\bar x =\frac{1}{n}\cdot\sum X=\frac{ 1767 }{ 10 }= 176.7

s= \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 188448.1 }{ 10 - 1} } \approx 144.702

It is assumed that the data come from a normal distribution.

Since the population standard deviation is not known, use a <em>t</em> confidence interval.

The critical value of <em>t</em> for 95% confidence level and degrees of freedom = n - 1 = 10 - 1 = 9 is:

t_{\alpha/2, (n-1)}=t_{0.05/2, (10-1)}=t_{0.025, 9}=2.262

*Use a <em>t</em>-table.

Compute the 95% confidence interval for the population mean amount spent on groceries by Connecticut families as follows:

CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\ \frac{s}{\sqrt{n}}

     =176.7\pm 2.262\cdot\ \frac{144.702}{\sqrt{10}}\\\\=176.7\pm 103.5064\\\\=(73.1936, 280.2064)\\\\\approx (73.20, 280.21)

Thus, the 95% confidence interval for the population mean amount spent on groceries by Connecticut families is ($73.20, $280.21).

You might be interested in
Help meeeeeeeeeeeeee
makvit [3.9K]

Answer:

the family free skate

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Brainliest for correct answer
Mashutka [201]

Answer:

one third of the volume

Step-by-step explanation:

5 0
3 years ago
Write a point slope equation ​
Over [174]

point slope equation formula: y - y1 = m (x - x1)

(-1,4) (-2,1)

answer:

1 -4 = 3 (-2+1)

4 0
2 years ago
Solve the equation. Then check your solution.
kvasek [131]

Answer:

x-4=2

x=2+4

x=6 is the answer

8 0
3 years ago
Read 2 more answers
PLS HELP WILL GIVE BRANLIEST
nalin [4]

Answer:

C

Step-by-step explanation:

<em>hope this helped. I am in algebra two so you can trust my answer. happy holidays and stay safe</em>

4 0
2 years ago
Other questions:
  • Given A={x ∈ Z : x is even}, B={x ∈ Z : x is prime number}, C={x ∈ Z : x is odd}, and D={5, 7, 8, 12, 13, 15}.
    12·1 answer
  • Solve the equation.
    10·2 answers
  • If f(x) = −5x + 1, find f(−3). .
    6·2 answers
  • I PROMISE BRAINLIST; 5-STARS; THANKS!! IT'S VERY SIMPLE; BELIEVE ME
    5·2 answers
  • 4. Which coordinate represents the point of
    14·1 answer
  • One of the angles of a parallelogram is equal to 40°. Find the rest of the angles.
    7·1 answer
  • Write an equation in point-slope form for the line that passes through (–2, 1) with a slope of 1/4. Giving brainliest!
    7·1 answer
  • Claire is 11 years old. She is 5 years younger than her brother Gary who is y years old. Which equation represents this situatio
    15·1 answer
  • Si un vendedor gana $ 450 por cada venta de $ 50 000, ¿cuál es su tasa de comisión?​
    11·1 answer
  • Please help meeeeeeeeeeeeeeeeeeeeeeeeeeee
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!