Question number 12

A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task is faster if they are wearing ear buds.   A random sample of 20 workers' times were collected before and after wearing ear buds. Test the claim that the time to complete the task will be faster, i.e. meaning has production increased, at a significance level of α = 0.01

For the context of this problem, μ_D = μ_before−μ_after where the first data set represents before ear buds and the second data set represents the after ear buds. Assume the population is normally distributed. The hypotheses are:

H₀: μ_D = 0
H₁: μ_D > 0

You obtain the following sample data:

a) Find the p-value. Round answer to 4 decimal places.

Answer:

b) Choose the correct decision and summary.

A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will change when they are allowed to wear ear buds at work. A random sample of 25 workers' times were collected before and after. Test the claim that the time to complete the task has changed at a significance level of α=0.10. For the context of this problem, μd=μafter−μbefore where the first data set represents after and the second data set represents before. Assume the population is normally distributed. Round answers to 4 decimal places.

Ho:μd=0
Ha:μd≠0

You obtain the following sample of data:

What is the critical value for this test?  
critical value = ± ________________

What is the test statistic for this sample?  
test statistic = __________________

The test statistic is: in the critical region or not in the critical region

This test statistic leads to a decision to?

Reject the claim

Fail to reject the null

Accept the null

reject the null

Accept the claim

As such, the final conclusion is that...

__There is sufficient evidence to warrant rejection of the claim that the time to complete the task has changed.

__There is not sufficient sample evidence to support the claim that the time to complete the task has changed.

__The sample data support the claim that the time to complete the task has changed.

__There is not sufficient evidence to warrant rejection of the claim that the time to complete the task has changed.

Lead Time in a Doctor's Office

Marcus Simmons caught the flu and needed to see the doctor. Simmons called to set up an appointment and was told to come in at 1:00 P.M. Simmons arrived at the doctor's office promptly at 1:00 P.M. The waiting room had 5 other people in it. Patients were admitted from the waiting room in FIFO (first-in, first-out) order at a rate of 5 minutes per patient. After waiting until his turn, a nurse finally invited Simmons to an examining room. Once in the examining room, Simmons waited another 5 minutes before a nurse arrived to take some basic readings (temperature, blood pressure). The nurse needed 10 minutes to collect this clinical information. After the nurse left, Simmons waited 30 additional minutes before the doctor arrived. The doctor diagnosed the flu and provided a prescription for antibiotics, which took 5 minutes. Before leaving the doctor's office, Simmons waited 10 minutes at the business office to pay for the office visit.

Simmons spent 5 minutes walking next door to fill the prescription at the pharmacy. There were four people in front of Simmons, each person requiring 5 minutes to fill and purchase a prescription. Simmons arrived home 15 minutes after paying for his prescription.

a. What time does Simmons arrive home?
3:10 p.m.

b. How much of the total elapsed time from 1:00 P.M. until when Simmons arrived home was non-value-added time?

c. What is the value-added ratio? Round your percent to one decimal place.
%

d. Which of the following statement is correct?
All of the above.

Marcus Simmons caught the flu and needed to see the doctor. Simmons called to set up an appointment and was told to come in at 1:00 P.M. Simmons arrived at the doctor's office promptly at 1:00 P.M. The waiting room had 5 other people in it. Patients were admitted from the waiting room in FIFO (first-in, first-out) order at a rate of 5 minutes per patient. After waiting until his turn, a nurse finally invited Simmons to an examining room. Once in the examining room, Simmons waited another 5 minutes before a nurse arrived to take some basic readings (temperature, blood pressure). The nurse needed 10 minutes to collect this clinical information. After the nurse left, Simmons waited 30 additional minutes before the doctor arrived. The doctor diagnosed the flu and provided a prescription for antibiotics, which took 5 minutes. Before leaving the doctor's office, Simmons waited 10 minutes at the business office to pay for the office visit.

Simmons spent 5 minutes walking next door to fill the prescription at the pharmacy. There were four people in front of Simmons, each person requiring 5 minutes to fill and purchase a prescription. Simmons arrived home 15 minutes after paying for his prescription.

a. What time does Simmons arrive home?
3:10 p.m.

b. How much of the total elapsed time from 1:00 P.M. until when Simmons arrived home was non-value-added time?

c. What is the value-added ratio? Round your percent to one decimal place.
%

d. Which of the following statement is correct?
All of the above.

1-Please complete the below python programs. Use spaces for indentations since the website does not take tabs.

#inputs to the function are 2 numbers x and y. Print "Sum 6!" if the sum of x and y is bigger or equal to 6. Print "Sum too small!" otherwise.

def sum_6(x,y):

#your answer here, can be multiple lines

___

#input to the function is a list of integers. The function will calculate and return a resultlist with the square of each number in the input list saved in it. For example: if mylist has numbers 1,2,3,4,5, the returned value should be a list with 1,4,9,16,25.

def square_num (mylist):

#your answer here, can be multiple lines

___

#in this main function, create a list with 6 numbers, call the second function in this question, print out the returned result.

def main ():

#your answer here, can be multiple lines

___

2-Write down the regular expression that can match: a string with 1 or more digits followed by exactly 2 small case letters. Sample string: 5678yr. (You do not need to consider the " ")

(same as the below question) Make sure you only write down the regex. Please do NOT include other things like / / around it. You do not need to consider any blanks before or after the regex, nor sentence starting/ending symbols.

Answer:

3-Write down the regular expression that can match: a float with 1 or more digits before the decimal point and exactly 2 digits after. Sample: 2345.34

(same as the below question) Make sure you only write down the regex. Please do NOT include other things like / / around it. You do not need to consider any blanks before or after the regex, nor sentence starting/ending symbols.

Answer:

A person with mass mp=80 kg is standing at rest on a horizontal, frictionless surface holding a ball of wet clay with mass mg=10 kg . In front of the person is a large block with mass M=20 kg at rest next to a spring with stiffness k=100 N/m . The person throws the ball horizontally, it sticks to the block, and then ball and block slide and compress the spring a distance 1=0.75 m away from equilibrium before the ball-block springs back toward the person. (Assume the distance the ball is thrown is short, so that we can ignore the vertical component of its velocity.)

a) Draw the following moments in time with the given labels: At t=0, the person is holding the ball and all objects are rest. At t=1 the ball has left the person's hands. At t=2 the ball and block move together with speed V2. At t=3; the ball and block have fully compressed the spring. At t=4 the ball and block are sliding back toward the person, At t=5 the person, the ball, and the block are all moving together, HINT: Include a coordinate system! Remember that momentum is a VECTOR and energy is a SCALAR.

b) Find V2 (the speed of the ball and the block just before they start compressing the spring)

c) Find VB. (the speed of the ball after it was thrown, but before it hits the block)

d) Find Vp (the speed of the person after the ball was thrown)

e) Find Vs (the speed at which the person, ball, and block move after the ball and block bounced back off the spring and collided with the person)

f) If it takes 0.2 seconds for the person and the ball-block to get to the same velocity, find the impulse on the person due to the ball-block. AND find the force on the person due to the ball-block,

A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task is faster if they are wearing ear buds.   A random sample of 20 workers' times were collected before and after wearing ear buds. Test the claim that the time to complete the task will be faster, i.e. meaning has production increased, at a significance level of α = 0.01

For the context of this problem, μ_D = μ_before−μ_after where the first data set represents before ear buds and the second data set represents the after ear buds. Assume the population is normally distributed. The hypotheses are:

H₀: μ_D = 0
H₁: μ_D > 0

You obtain the following sample data:

a) Find the p-value. Round answer to 4 decimal places.

Answer:

b) Choose the correct decision and summary.

Application Exercise:
A researcher is studying the effects of inserting questions into instructional material for learning. There is doubt whether these questions would be more effective before or after the corresponding passage. In addition, the researcher wants to know the impact of factual and thought provoking questions. Students are randomly assigned to one of each of the four combination: position of question (before vs. after the passage) and type of question (factual vs. thought provoking). After 10 hours of studying under these conditions, the students are given a test on the content of the instructional materials. The test scores are below. What can be concluded with an ? of 0.05?

                     Position

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
Type: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Position: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Interaction: critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0


c) Compute the corresponding effect size(s) and indicate magnitude(s).
Type: ?² = ;  ---Select--- na, trivial effect, small effect, medium effect, large effect
Position: ?² = ;  ---Select--- na, trivial effect, small effect, medium effect, large effect
Interaction: ?² =   ;  ---Select--- na, trivial effect, small effect, medium effect, large effect


d) Make an interpretation based on the results. (pick one)

-There is a question type difference in the test scores.

-There is no question type difference in the test scores.   

-There is a question position difference in the test scores.

-There is no question position difference in the test scores.    

-There is a question type by position interaction in the test scores.

-There is no question type by position interaction in the test scores.

A dog in a weight-pulling competition tugs a 50-kg sled a distance of 5 m across a snowy track. The dog pulls horizontally with a force of 350 N. The coefficient of kinetic friction between the sled and the snow is 0.05. (Draw yourself a free-body diagram on the sled). The next four questions have to do with this scenario.

Determine the work done by the dog.

I got the correct work (1750J)

Add up the y-components, ΣF_y, and determine the normal force the ground exerts upward on the sled.

Using your result from above, calculate the kinetic frictional force between the sled and the snowy track.

Determine the work done by friction.

A daring 51-kg swimmer dives off a 9-m high cliff. At the edge of the cliff her speed is 1.5 m/s. As the swimmer travels through the air, air resistance does -900 J of work on her. The next three questions have to do with this swimmer.

Which is the correct conservation of energy expression for this diving swimmer?

Using the appropriate conservation of energy expression, determine the kinetic energy of the swimmer as she safely enters the water at the bottom of the cliff.

Using your result from above, determine the swimmer's speed as she enters the water.

A 1.5-kg ball rolling to the right at a speed of 3 m/s collides with another ball of mass 3.0 kg rolling to the left at a speed of 2 m/s. As a result of the collision, the 1.5-kg ball recoils to the left at a speed of 1.5 m/s. (Draw yourself a before & after picture of this collision).  The next five questions have to do with this collision.

Calculate the momentum (magnitude and direction) of the 1.5-kg ball immediately before the collision.

Calculate the momentum (magnitude and direction) of the 3.0-kg ball immediately before the collision.

Calculate the momentum (magnitude and direction) of the 1.5-kg ball immediately after the collision.

Set up the conservation of momentum for this collision and determine the velocity (magnitude and direction) of the 3.0-kg ball immediately after the collision.

After the collision, the system's total kinetic energy is