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
nordsb [41]
2 years ago
12

In a survey, 18 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped

with a sample mean of $47 and sample standard deviation of $3. Construct a confidence interval at a 90% confidence level.
Mathematics
1 answer:
AleksAgata [21]2 years ago
5 0

Answer:

The 90% confidence interval for the mean amount spent on the children's birthday gift is between $45.77 and $48.23.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7396

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.7396\frac{3}{\sqrt{18}} = 1.23

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 47 - 1.23 = $45.77

The upper end of the interval is the sample mean added to M. So it is 47 + 1.23 = $48.23

The 90% confidence interval for the mean amount spent on the children's birthday gift is between $45.77 and $48.23.

You might be interested in
Find the product. 1.5m6(-2m2)4
kogti [31]

9514 1404 393

Answer:

  24m^14

Step-by-step explanation:

It looks like you want to simplify ...

  1.5m^6(-2m^2)^4=(1.5)(-2)^4(m^6)(m^{2\cdot4})\\\\=(1.5)(16)m^{6+8}=\boxed{24m^{14}}

__

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

5 0
3 years ago
Write the number for two million nine thousand .
scZoUnD [109]

Answer:

2009000

Step-by-step explanation:

4 0
3 years ago
Find the sum of the first 25 terms of the arithmetic sequnce 17,22,27,32.37
ANTONII [103]

Answer:

Step-by-step explanation:

This sequence is adding 5 so

17 22 27 32 37 42 47 52 57 62 67 72 77 82 87 92 97 102 107 112 117 122 127 132 137 = 1925

6 0
3 years ago
Read 2 more answers
This question is from set can anyone answer me !​
Virty [35]

Answer:

n (aub)= n (a)+ n(b)

n (anb) = n (a)-n (b)

only a= n(a)+n(b) -(aub)

n only b= n (a)+n (b)-n (anb)

now solve your self because this formula help to solve

3 0
3 years ago
EXPERT HELP I'LL GIVE BRAINLIEST IF YOU EXPLAIN THE ANSWER
QveST [7]

Answer:

bro it's C obviously because the questoun ask about the outcome having '' more than one male" A,B, and D have two females and a male so it has to be C

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • Help, For each equation, use guess-check-and-improve to approximate a
    9·1 answer
  • Find the distance between the line 1.2x − 0.5y + 1.1=0 and the origin.
    6·1 answer
  • Hey can someone help me with this question I don't know what to do!
    12·1 answer
  • Is 9.63 < or > than 1.82? And how do you tell
    15·1 answer
  • Ella plans to make treats for her class.
    6·1 answer
  • Please help I suck at this kind of math
    13·1 answer
  • This is a scale drawing of a field. The scale is 1 in.: 10 ft. What is the actual length of the
    12·2 answers
  • students set up 6 rows of seats for a music concert. they put 6 seats in each row. what is the total number of seats? solve this
    9·2 answers
  • Which equation matches the function described in the table?
    6·1 answer
  • 2 tickets cost $14. How many tickets can you buy with $63?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!