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
kodGreya [7K]
3 years ago
5

34 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 25.9 pounds and a

standard deviation of 3.8 pounds. What is the 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service?
24.6 < μ < 27.2

24.8 < μ < 27.0

24.2 < μ < 27.6

24.4 < μ < 27.4
Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Answer:

24.6 < μ < 27.2

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{3.8}{\sqrt{34}} = 1.3

The lower end of the interval is the sample mean subtracted by M. So it is 25.9 - 1.3 = 24.6 pounds.

The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.

So the correct answer is:

24.6 < μ < 27.2

You might be interested in
The net below depicts a triangular prism. What is the total surface area of the prism?
svetlana [45]

Answer:

112in

Step-by-step explanation:

5 0
3 years ago
The length of rectangle is 9 more than the width. The area is 322 square centimeters. Find the length and the width of the recta
trapecia [35]

Answer:

14x23=322

Step-by-step explanation:

so the length is 23 and the width is 14

4 0
3 years ago
Figure GHTA below is a parallelogram. = 6 cm, = 8 cm, and the measure of = 60°. Find the area.
Kruka [31]

Answer:

multiply

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A business person invested $3600.00 in stock .When he sold the stock he made $30.00 in profit for each share of stock he purchas
Usimov [2.4K]

Given that the total profit is <u>$2400.00</u> and he made <u>$30.00</u> in profit for each share.


Number of shares = $2400 ÷ 30 = 80


Answer: He bought 80 shares

5 0
3 years ago
To add 20.4 + 3.75 + 4.25, Crystal first added 3.75 and 4.25. Which property did Crystal use to add mentally?
evablogger [386]

Answer:

Associative Property of Addition

Step-by-step explanation:

From the list of given options, option A correctly answers the question and this is because

a + b + c = a + (b + c) --- (1)

or

a + b + c = (a + b) + c --- (2)

<em>The above illustrations only apply to Associative Property of Addition</em>

In Crystal's case:

20.4 + 3.75 + 4.25 = 20.4 + (3.75 + 4.25)

This can be compared to (1) above

Hence;

<em>Option A answers the question</em>

3 0
3 years ago
Other questions:
  • Can someone help me solve this before I quit math
    9·2 answers
  • How many solution does this have and how do you solve it
    8·1 answer
  • Use Vocabulary in Writing
    14·1 answer
  • What is the first 3 questions
    6·2 answers
  • ALGEBRA HELP !!!!! PHOTO ATTACHED!!!!! Function f(x), represented by the graph, is _____. The value of f(150), rounded to the ne
    8·2 answers
  • What measurement that is equal to 20 liters
    15·2 answers
  • The circumference of a circle is 53.38 centimeters. What is the area in square centimeters. Use 3.14 for ×
    12·1 answer
  • What’s the least common multiple (LCM) of 2,6, and 8?
    13·1 answer
  • What is the slope of the line in the graph?<br>○-4/3<br>○-3/4<br>○3/4<br>○4/3​
    9·1 answer
  • GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!