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
BabaBlast [244]
3 years ago
13

A potato sorting machine produces 5 lb bags of potatoes on average, but the standard deviation is 1/2 lb. Assuming that the weig

ht of the bags is normally distributed, explain how you would find the weight range that 95% of the bags fall within.
Mathematics
2 answers:
antiseptic1488 [7]3 years ago
6 0

Basically we have to calculate P X < 0.95. By using the normal distribution formula for any random variable we can get our answer.

SO first from z table we will have to check the corresponding z value from the table. After we get that value we can do X - mean / the std dev = that particular value that i am naming A.

SO X - 5 / 0.5 = A. Now we can solve X for our answer.

lakkis [162]3 years ago
5 0

Answer:

The range that 95% of the bags fall within is (4.02,5.98)            

Step-by-step explanation:

Given : A potato sorting machine produces 5 lb bags of potatoes on average, but the standard deviation is 1/2 lb. Assuming that the weight of the bags is normally distributed

To find : How you would find the weight range that 95% of the bags fall within?

Solution :

We have given,

Mean is \mu=5

Standard deviation is \sigma=\farc{1}{2}=0.5

The critical value for a 95% confidence interval is 1.96.

Let x=1.96

The formula to find the range or confidence interval is

\mu-x\sigma\leq CI\leq \mu+x\sigma

Substitute the value in the formula,

5-1.96\times 0.5\leq CI\leq5+1.96\times 0.5

5-0.98\leq CI\leq5+0.98

4.02 \leq CI \leq 5.98

Therefore, The range that 95% of the bags fall within is (4.02,5.98)

You might be interested in
Maggie earns money from working at the pet store and answering phones. She earns $10 each hour she works at the pet store and $0
Maksim231197 [3]
I set Jon an equation and solved for number of hours

3 0
3 years ago
If two dice are rolled one time, find the probability of getting doubles or a sum of 8.
Pie
9 times it will be 98 rhr
4 0
3 years ago
Some electronic devices are better used than new: the failure rate is higher when they are new than when they are six months old
Reptile [31]
Given that half of the personal music players sold by a particular brand have a flaw. If the player has the​ flaw, it dies in the first six months. If it does not have this​ flaw, then only 20​% fail in the first six months.
Let A be the event that it fails in I 6 months
B1 = it has a flaw
B2 = it does not have a flaw
B1 and B2 are mutually exclusive and exhaustive
the chances that it has this​ flaw
=The probability that it has the flaw is

7 0
2 years ago
Tamika built a large play area in the shape of a rectangle. The length of one side was 8 meters, and the length of the other sid
ryzh [129]

The dimensions of the rectangle given are

length = 14 meters

Width = 8 meters

The perimeter of the rectangle is given by the sum of its sides

The rectangle has to opposite sides of 14 meters and two opposite sides of 8 meters

Hence adding up the 4 sides we get

8+14+8+14 = 44

Hence option B is the right answer

5 0
3 years ago
Read 2 more answers
Consider two unique parallel lines. what aspects of these two lines are the same? what aspects of these two lines would have to
kramer

If you have edunuity, the answer is... Two parallel lines will have the same slope. The slopes of parallel lines have to be equal. The y-intercepts of those two lines have to be different, otherwise they would be the same line. The x-intercepts of the parallel lines would also be different.

8 0
3 years ago
Read 2 more answers
Other questions:
  • HELP QUICK WILL GIVE BRAINLIEST
    15·2 answers
  • Abigail needs at least $199 to purchase the new phone that she wants. Last week she babysat and earned $45. Write and solve an i
    13·1 answer
  • What is the value of r?<br> Round your final answer to the nearest whole number.
    13·2 answers
  • Caroline had 10 5/8 pounds of sunflower seeds. She gave some to Joe.
    15·1 answer
  • [50 Points each!!!] and Brainliest!
    13·1 answer
  • A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 1
    15·1 answer
  • Pleaseeeeeeee help 32 points
    15·1 answer
  • The length of a rectangle is 12 less than the width find the length and width of the rectangle if the area is 160 square meters
    5·1 answer
  • Why does a rectangle with different side lengths have only 2 lines of symmetry?
    14·1 answer
  • The product of a number and 3 more than twice that number is at most 152.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!