Question
In: Statistics and Probability
3. A company wants to find out if the average response time to a request differs...
3. A company wants to find out if the average response time to a request differs across its two servers. Say µ1 is the true mean/expectation response time on server 1 and µ2 the true mean/expectation response time on server 2. Independent samples across the two servers is taken. 196 observations on server 1 return a sample mean of X¯ = 12.5 seconds and a sample variance of s 2 = 9 seconds. 225 observations on server 2 return a sample mean of X¯ = 12.2 seconds and a sample variance of s 2 = 16 seconds.
a. Write the null and alternative hypothesis that will address the goal of the company. Compute the test statistic, and state how you would obtain the p-value.
b. Say the p-value is very large (closer to 1). In a sentence or two explain what you would conclude about the null and alternative hypothesis.
c. Create and interpret a 95% confidence interval for the difference in the two servers population expectations.
d. The 95% confidence interval from part c. contains 0. How does this result relate to your explanation in part b? Explain in a sentence or two.
Solutions
orchestra answered 2 years agoRelated Solutions
The manager wants to find out the average (population mean) time required to inflate a rubber...
The manager wants to find out the average (population mean) time
required to inflate a rubber raft. Assuming that the manager knows
the population standard deviation is 1.6 seconds. A random sample
of 45 rafts is inflated, yielding an average inflation time of 7.6
seconds (sample mean). Using sample information to construct:
(i) 95% confidence interval for the average inflation time of all
rubber rafts.
(ii) 99% confidence interval for the average inflation time of
all rubber rafts.
a dentist wants to find out the average time taken by her hygienist for x rays...
a dentist wants to find out the average time taken by her
hygienist for x rays and clean teeth for patients. she recorded the
time to serve 24 randomly selected patients . construct a 99%
confidence interval for the average time taken
Time
36.80
39.80
38.60
38.30
35.80
32.60
38.70
34.50
37.00
32.00
40.90
33.80
37.10
31.00
35.10
38.20
36.60
38.80
39.60
39.70
35.10
38.20
32.70
40.50
A company wants to apply k-NN to find out whether new customers response to its marketing...
A company wants to apply k-NN to find out whether new customers
response to its marketing campaign or not. We have data of six
existing customers and their response. In the table below, we list
their response and their distances to two new customers (Jack and
Colleen).
Customer
Response
Distance to Jack
Distance to Colleen
Janet
Yes
1.7
1.3
Adam
Yes
1.6
1.3
Tom
No
3.8
0.9
Sarah
Yes
2.4
1.2
Nancy
No
3.7
0.9
Joseph
No
2.5
1.5
What...
1) Find out the standard time using the following data: Average time for machine elements =...
1) Find out the standard time using the following data:
Average time for machine
elements = 6 min.
Average time for manual elements = 4
min.
Performance rating = 110%
Allowances = 10% of normal time
2) The actual observed time for an
operation was 1 minute per piece. If the performance rating of the
operator was 120 and a 5 per cent personal time is to be provided,
the standard time in minute per piece is:
A dentist wants to find the average time taken by one of her hygienists to take...
A dentist wants to find the average
time taken by one of her hygienists to take X-ray and clean the
tooth for her patients. She recorded the time to serve 24 randomly
selected patients by the hygienist. The data of this experiment are
save in the column “Time” of the SPSS file
Ass_2Q1.sav.
Time
38
33
38
40
37
37
37
39
36
33
36
38
34
38
36
36
34
33
32
35
33
35
35
32
Compute the...
A dentist wants to find the average time taken by one of her hygienists to take...
A dentist wants to find the average
time taken by one of her hygienists to take X-ray and clean the
tooth for her patients. She recorded the time to serve 24 randomly
selected patients by the hygienist. The data of this experiment are
save in the column “Time” of the SPSS file .
Time
36.80
39.80
38.60
38.30
35.80
32.60
38.70
34.50
37.00
32.00
40.90
33.80
37.10
31.00
35.10
38.20
36.60
38.80
39.60
39.70
35.10
38.20
32.70
40.50
Compute the...
A scooter company wants to determine the average amount of time it takes an adult to...
A scooter company wants to determine the average amount of time
it takes an adult to assemble an “easy to assemble” scooter. A
sample of 49 times yielded an average time of 18.15 minutes. Assume
that the assembly times are normally distributed and the population
has a standard deviation of 5.39 minutes.
a) Give a point estimate for the population mean that the sample
of data is taken from.
b) Find the 96% confidence interval for the mean assembly
time.
A high school student wants to find out how much screen time people spend on their...
A high school student wants to find out how much screen time
people spend on their phones. He does a random sample and finds the
following data for screen time (in minutes):
195
250
180
175
120
60
300
210
193
135
200
265
Construct and interpret a 95% confidence
interval for the mean amount of screen time people have on their
phones. Remember to check all necessary
critera.
An astronaut wants to find out his mass while in orbit, to find out if he...
An astronaut wants to find out his mass while in orbit, to find
out if he is staying healthy while in space. Since he can't use a
bathroom scale (why not?), he attaches himself to a spring
(k=2500 N/m), pulls himself back from the spring's equil length by
5 m, and times one oscillation to take 1 s.
a.) What is the mass of the astronaut?
________ kg
b.) Find the potential energy stored in the spring
when it is...
An insurance company wants to conduct a poll to find an admitted patient's average length of...
An insurance company wants to conduct a poll to find an admitted
patient's average length of stay in a hospital. A researcher
estimates that, the standard deviation is 2. The insurance company
wants the error to be less than 1%. How large a sample should the
company take to obtain a 98% confidence level?
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- COSC 1436 Programming Assignment : Skill Practice Assignment 3 Your skill practice assignment this week will...
- Waste elimination and process improvement can be applied to virtually any process. Identify a process at...
- Do you think the FASB should continue to require the Statement of Cash Flows or are...
- Here is your chance to analyze an actual co-worker conflict situation and make suggestions on how...
- McKinsey Machines Ltd manufactures a single product A. It has two cost centers namely molding department...
- Threads: Assume a multithreaded application using user level threads mapped to a single kernel level thread...
- Admire is a retail company that sells specialized gardening products. The company is considering opening a...
ADVERTISEMENT