(a)A performance analyst simulated a computer system a total of 10 times,each simulation run independent of all the others. She calculated andrecorded the sample means for system response time from each of the10 runs, coming up with the following data (measured in seconds):6,15,17,8,9,7,10,25,5,11i)What is the confidence interval with a 95% confidence level for the meanresponse time?If measurements from the real system gave a mean figure of 12 secondsfor the response time, Comment on the statistical validity of theconfidence intervals constructed in part (i).ii)

Given that The data are 6,15,17,8,9,7,10,25,5,11 n=10 Find 95% confidence interval for mean…

Answered: (a) A performance analyst simulated a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05. Longboard: 4,9,8,4,9,8,8,6,7,9,11,11,11,13,12,16,14,9,11,18,20,15,10,16,20,20,8,20,21,23 O Shortboard: 6,4,4,6,8,8,6,9,4,6,7,5,9,7,4,16,13,11,13,13,11,15,10,10,13,14,11,21,21,12 Determine the hypotheses for this test. Choose the correct answer below. O A. Ho: HL = Hs O B. Ho: HL = Hs OC. Ho: HL # Hs Ha: HL Hs O F. Ho: HL = Ps Ha: HL = Ps Ha: HL = Hs Ha: HL > Hs Find the test statistic for this test. t = (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places…
How would you find (a.) and (b.)?? As well as finding the test statistic and p-value?
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
Twenty samples of students from the first year were taken for the study related to fitness level in a university. The researcher has collected the data for a few variables: gender and fitness test score. Fitness Camp No Gender Fitness score Fitness score (Before Attend camp) (After Attend camp) 1 M 444 526 2 F 780 862 3 F 475 557 4 F 490 572 5 M 755 837 6. M 766 848 7 F 540 622 8 M 623 705 9. F 600 682 10 620 702 11 505 590 12 M 640 725 13 F 523 608 14 F 700 785 15 M 710 795 16 M 726 811 17 M 740 825 18 F 550 635 19 F 685 770 20 F 460 545 Range of Fitness Score: 0 to 900 1. Determine whether this set of data is sample or population? Why? Which formulae to be used when calculating the standard deviation of fitness score before and after camp 2. Calculate the standard deviation for fitness score before and after students attended the fitness camp for the whole samples using the formula in (1) 3. Based on the sample standard deviation in part (2), explain whether the fitness camp can…
I want to assess the effects of diet (control diet, high-sugar diet, high-fat diet) and exercise (no voluntary running wheel, voluntary running wheel) on time spent in a target quadrant (more time indicates better memory). I record the percent time spent in a target quadrant for 30 mice and obtain the following data: Control Diet High-sugar Diet High-fat diet No running wheel 15, 28, 29, 30, 25 24, 20, 30, 32, 20 19, 23, 22, 23, 25 Running wheel 30, 34, 35, 44, 32 21, 22, 28, 26, 29 30, 32, 28, 19, 26 What type of factorial design is this? (ex: # x #) ______________ What is the critical F value you’ll be making a decision based on (assume alpha = .05)? Diet: ____ Exercise: _____ Interaction: ______
They then decided to determine whether the effect of the phone depended on how dependent people were on their phones. They had participants complete a scale to measure phone dependence (e.g., I would have trouble getting through a normal day without my phone) and classified them as high or low in dependence. They then analysed working memory task performance in a 2 (location: outside, desk) x 2(dependence: high, low) ANOVA. In this design, "dependence" is a(n) O a. Independent variable O b. Extraneous variable O c. Dependent variable O d. Subject variable
In a UK business school, lecturers have tried to determine if the number of hours students attend lectures has any measurable effect on the grades obtained by the students. The following data from a sample of 14 students in an international business class show hours of attendance and resulting grades.(22, 72), (20, 64), (24, 70), (8, 34), (12, 40), (16, 40),(18, 52), (16, 45), (20, 68), (24, 65), (28, 72),(20, 64), (10, 38), (16, 44)a. Estimate the regression line.b. Find a 95% confidence interval for the slope of the regression line.
IBL Company manager asked his statistic team to give to the production department the data on the number of phones manufactured over the 17 months.. The data collected are as follows: Months 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 REQUIRED # of phones produced 2045 1566 1207 4563 5052 3465 2542 4134 3567 5163 4563 7453 2621 4772 4563 5052 2846 1. Calculate the following using the data provided on the table: a. the mean b. median c. mode 2. Find the Quartile 1, Quartile 3 and inter-quartile of the phones produced 3. Why is the quartile important? What purpose does it serve? 4. Why is median preferred to mean in certain circumstances? 5. How do we call data when Mode >Median >Mean and show with a diagram how such distribution looks? 6. Explain and compare parameters and statistics.
You are conducting a study of three types of feed supplements for cattle to test their effectiveness in producing weight gain among calves whose feed includes one of the supplements. You have four groups of 30 calves (one is a control group receiving the usual feed, but no supplement). You will conduct a one-way ANOVA after one year to see if there are difference in the mean weight for the four groups. If SSbetween = 369.3 and SStotal = 945.1 for this data. Identify the SSwithin
A team of epidemiologists at the Mayo Clinic wanted to find whether there is an association between obesity and cardiovascular disease (CVD). They conducted a prospective cohort study following obese and non-obese individuals who were free of CVD at the beginning of study for five years. The investigators were also interested in assessing age as a potential confounder, effect modifier, or both. Use the data below to answer the accompanying questions. CVD No CVD Total Obese 10 90 100 Not Obese 35 465 500 Total 45 555 600 CVD No CVD Total Obese 36 164 200 Not Obese 25 175 200 Total 61 339 400 1. Compute the appropriate measure of association for those who were less than age 50. 2. Compute the appropriate measure of association for those who were older or equal to age 50. 3. Compute the crude measure of association? 4. List three attributes that age must satisfy before it could…
The dataset "nurses" is a random sample of 1,000 cases from “Health Care Provider Credential Data” from Washington State Open Data Portal. In the sample, there are 418 CNA's and 278 of the CNA's have expired credentials. Use the statistics from the nurses dataset to answer the following question: "With 90% confidence, what percent of all CNA's on Washington State's healthcare provider list are expired?"
Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05. Longboard: 4,10,9,4,9,8,8,6,7,9,11,11,9,15,11,16,13,11,12,18,18,13,12,15,20,22,7,24,22,24 Shortboard: 6,4,4,6,9,9,6,8,4,8,8,5,9,9,4,16,12,9,13,13,10,13,11,12,14,14,9,21,19,10 Determine the hypotheses for this test. Choose the correct answer below. C. Ho: HL Hs Hai HL # Hs Ha: HL = Hs O D. Ho: HL = Hs Ha: HL Hs F. Ho: HL # Hs Ha: HL = Hs Find the test statistic for this test. t%=D (Round to two decimal places as needed.) Find the p-value for this test. p-value = (Round to three decimal places as needed.) What is the…

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