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
Temka [501]
3 years ago
9

The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 7 dollars. If a sample of 51 bags of shri

mp is randomly selected, what is the probability that the sample mean would differ from the true mean by more than 0.6 dollars? Round your answer to four decimal places.
Mathematics
1 answer:
eimsori [14]3 years ago
4 0

Answer:

P(|\bar{x}-40| > 0.6)=0.5404

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 40 dollars

Standard Deviation, σ = 7 dollars

Sample size,n = 51

We are given that the distribution of cost of shrimp is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{7}{\sqrt{51}} = 0.9801

P(sample mean would differ by true mean by more than 0.6)

P(|\bar{x}-40| > 0.6)\\\Rightarrow = 1-P(39.4

P(39.4 \leq x \leq 40.6) \\\\= P(\displaystyle\frac{39.4 - 40}{0.9801} \leq z \leq \displaystyle\frac{40.6-40}{0.9801})\\\\ = P(-0.6121 \leq z \leq 0.6121)\\= P(z \leq 0.6121) - P(z < -0.6121)\\= 0.7298 - 0.2702 =0.4596

P(|\bar{x}|-40 > 0.6)\\= 1-0.4596=0.5404

0.5404 is the required probability.

You might be interested in
Ms.Cody needs 1.75 yards of fabric to make one pillow. How many yards of fabric will she need to make 12 pillows?
____ [38]

Answer: C. 21 yards

Step-by-step explanation: Hello! What we need to do is 1.75yd x 12 pillows to get 21 yards of fabric for 12 pillows.

Hope this helps!

7 0
3 years ago
Read 2 more answers
The graph of a quadratic function touches, but does not cross, the x-axis at x = 4. Which function represents this
GREYUIT [131]

Answer:

The last choice is the correct answer.

Step-by-step explanation:

I graphed the last equation on the graph below.

6 0
3 years ago
How hot does it get in Death Valley? The following data are taken from a study conducted by the National Park System, of which D
Sonbull [250]

Answer:a) mean=167.1

b)median=168.5

c)mode= 180

Step-by-step explanation:

Mean= total sum of values in the data set/ number of values

=2339/14=167.1

Median = midpoint = 165+172/2= 337/2= 168.5

Mode= number with the highest number of frequency, for this data set, 180 occurred most because it occurred three times

8 0
3 years ago
A circle has a radius of 3. An Arc in this circle has a central angle of 20 degrees. What is the length of the arc?
Alex

Answer:

Step-by-step explanation:

L=®/3602πr

L=20/360×2×3.14×3

L=1.04

6 0
3 years ago
Last tuesday evening, Aaron, the car wash owner, found he had 90% more quarters than dimes. If the combined value of Aaron's qua
Alex Ar [27]

Aaron the car wash owner had 228 quarters and 120 dimes.

<h3>Equation</h3>

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of quarters and y represent the number of dimes. Hence:

x = 90% of y + y

x = (0.9y) + y

x - 1.9y = 0   (1)

Also:

0.25x + 0.1y = 69   (2)

From both equations:

x = 228, y = 120

Aaron the car wash owner had 228 quarters and 120 dimes.

Find out more on Equation at: brainly.com/question/13763238

4 0
2 years ago
Other questions:
  • If f(x)=5x-8, which of the following is the inverse of f(x)?
    12·2 answers
  • Ron is designing a new slide for the amusement park in town. The slide makes an angle of 39 with the ground. The top of the slid
    10·1 answer
  • Help me ASAP!!<br> This is timed
    10·1 answer
  • Alyssa purchased a house for 243,000 and obtained a mortgage for 231,000. she purchased 5 discount points and 4 origination poin
    13·1 answer
  • Explain how (-3) x (-3) = 9 using coupons as the real world example
    5·2 answers
  • Describe three different methods to solve x²- x - 56 =0
    15·1 answer
  • What is the surface area for 4in 10in and 3in
    9·2 answers
  • What is this (please)
    14·2 answers
  • A nurse mixes 50 cc of a 60% saline solution with a 20% saline solution to produce a 28% saline solution. How much of the 20% so
    14·2 answers
  • A teacher would like to estimate the true mean amount of time her students spend completing a particular homework assignment. Th
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!