Question
SHOW ALL WORK. DO NOT GENERATE SOFTWARE TO GENERATE ANSWERS. The length of a particular metal...
SHOW ALL WORK. DO NOT GENERATE SOFTWARE TO GENERATE ANSWERS.
The length of a particular metal bar used in the construction of your chair is normally distributed with a mean m of 3 meters and a standard deviation of s = .2 meters, then:
a) What is the probability that the average of 4 bars selected at random from this process will be less than 2.90 meters?
b) What is the probability that the average of 4 bars selected at random from this process will be between 2.90 meters and 3.1 meters?
Homework Answers
Answer #1
Let's consider X be the length of a particular metal bar used in the construction.
Therefore,
a) The probability that the average of 4 bars selected at random from this process will be less than 2.90 meters is given by
### By using Z table or can use R command
>pnorm(-1,0,1)
b) The probability that the average of 4 bars selected at random from this process will be between 2.90 meters and 3.1 meters is given by:
### By using Z table
he probability that the average of 4 bars selected at random from this process will be between 2.90 meters and 3.1 meters is 0.6826
Not the answer you're looking for?
Similar Questions
A manufacturer sells metal bars. Their longest bar is designed to be 10’ long (120 inches)....
A manufacturer sells metal bars. Their longest bar is designed
to be 10’ long (120 inches). The quality control department
randomly collects 41 bars from the production line and measures
their length. These 41 bars had an average length of 120.3 inches
with a standard deviation of 1.05 in. assume the lengths of the
bars are normally distributed.
Conduct the appropriate 95% confidence interval to determine if
the standard deviation of the lengths of bars is less than 2.51
inches.
SHOW ALL WORK. DO NOT USE SOFTWARE TO GENERATE ANSWERS. Calculate the R-chart and X-bar chart...
SHOW ALL WORK. DO NOT USE SOFTWARE TO GENERATE ANSWERS.
Calculate the R-chart and X-bar chart limits for the data given
below.
Day
A
B
C
D
1
7.2
8.4
7.9
4.9
2
5.6
8.7
3.3
4.2
3
5.5
7.3
3.2
6.0
4
4.4
8.0
5.4
7.4
5
9.7
4.6
4.8
5.8
6
8.3
8.9
9.1
6.2
7
4.7
6.6
5.3
5.8
8
8.8
5.5
8.4
6.9
9
5.7
4.7
4.1
4.6
10
3.7
4.0
3.0
5.2
11
2.6
3.9...
Please show all your work!! In a certain process, steel bars are manufactured and subjected to...
Please show all your work!!
In a certain process, steel bars are manufactured and subjected
to a torsion test. Bars are considered acceptable if they support
at least 15 lb-ft. Currently the process produces bars that support
on average 15.23 lb-ft with a variance of 0.04 lb-ft ^ 2
a)what proportion of the bars will not be able to meet the
specifications
b)if we take a sample of 50 bars, how many are expected to fail
the test
c)if we...
Please answer the questions below and show all work. 1. If 10% of all disk drives...
Please answer the questions below and show all work.
1. If 10% of all disk drives produced on an assembly line are
defective, what is the probability that there will be exactly one
defect in a random sample of 5 of these? What is the probability
that there will be no defects in a random sample of 5?
2. The time to complete a construction project is normally
distributed with a mean of 60 weeks and a standard deviation of...
please show all work!!!The lengths of adult males' hands are normally distributed with mean 195 mm...
please show all work!!!The lengths of adult males' hands are
normally distributed with mean 195 mm and standard deviation is 7
mm. Suppose that 43 individuals are randomly chosen. Round all
answers to 4 where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 43, find the probability that the average hand
length is less than 194.
Find the third quartile for the average adult male hand length
for this sample size.
For part b),...
The length, X X , of a fish from a particular mountain lake in Idaho is...
The length, X X , of a fish from a particular mountain lake in
Idaho is normally distributed with μ=9.6 μ = 9.6 inches and σ=1.4 σ
= 1.4 inches. (a) Is X X a discrete or continuous random
variable?
(b) Write the event ''a fish chosen has a length of less than
6.6 inches'' in terms of X X :
(c) Find the probability of this event:
(d) Find the probability that the length of a chosen fish was...
The length, X, of a fish from a particular mountain lake in Idaho is normally distributed...
The length, X, of a fish from a particular mountain lake in
Idaho is normally distributed with μ=7 inches and σ=1.7 inches.
(a) Is X a discrete or continuous random variable? (Type:
DISCRETE or CONTINUOUS)
ANSWER:
(b) Write the event ''a fish chosen has a length equal to 4
inches'' in terms of X: .
(c) Find the probability of this event:
(d) Find the probability that the length of a chosen fish was
greater than 8.5 inches: .
(e) Find the...
(5 pts) The length, X, of a fish from a particular mountain lake in Idaho is...
(5 pts) The length, X, of a fish from a particular
mountain lake in Idaho is normally distributed with μ=8.3
inches and σ=2 inches.
(a) Is X a
discrete or continuous random variable? (Type: DISCRETE or
CONTINUOUS)
ANSWER:
(b) Write the event
''a fish chosen has a length of less than 5.3 inches'' in terms of
X: .
(c) Find the
probability of this event:
(d) Find the
probability that the length of a chosen fish was greater than 11.3...
Show all of your work, if using a calculator or Excel – Show formula and variables...
Show all of your work, if using a calculator or Excel – Show
formula and variables used to solve problem.
The SMC technical services department has embarked on a quality
improvement effort. Its first project relates to maintaining the
target upload speed for its Internet service subscribers. Upload
speeds are measured on a standard scale in which the target value
is 1.0. Data is collected over the past year indicate that the
upload speed is approximately normally distributed, with a...
SHOW WORK 27. Short Answer Question: Show all work on your test question sheet. Solutions written...
SHOW WORK
27. Short Answer Question: Show all work on your test question
sheet. Solutions written without accompanying work will probably
not qualify for credit.
The lengths (in minutes) of a random selection of popular
children’s animated films are listed below. Estimate the true mean
length of all children’s animated films with 95% confidence.
A. Calculate the (1 pt)
B. Calculate s: (5 pts)
93 83 76 78 100 78 76
C. Determine tα/2 values with 95% confidence: (2 points):...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 12 minutes ago
asked 13 minutes ago
asked 38 minutes ago
asked 38 minutes ago
asked 45 minutes ago
asked 45 minutes ago
asked 50 minutes ago
asked 53 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago