An account on server A is more expensive than an account on server B. However, server A is faster. Tosee if it's optimal to go with the faster but more expensive server, a manager needs to know how muchfaster it is. A certain computer algorithm is executed 30 times on server A and 20 times on server B withthe following results,Sample meanServer A6.7 min0.6 minServer B7.5 min1.2 minSample standard deviationa) Construct a 95% confidence interval for the difference between mean execution time on server A andserver B, assuming that the observed times are approximately normal.b) At the 5% level of significance, is there a significant difference in speed between the two servers?

Given Data : For Sample 1 x̄1 = 6.7 n1= 30 s1= 0.6 For Sample 2 x̄2= 7.5…

Answered: An account on server A is more…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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OK 8.17 To emphasize safety, a taxicab company wants to estimate the proportion of unsafe tires on their 175 cabs (Ignore spare tires.) Selecting a simple random sample of tires is imprac- tical, so cluster sampling is used, with each cab as a cluster. A random sample of 25 cabs gives the following number of unsafe tires per cab: 2, 4, 0, 1, 2, 0, 4, 1, 3, 1, 2, 0, 1, 1, 2, 2, 4, 1, 0, 0, 3, 1, 2, 2, 1 Estimate the proportion of unsafe tires being used on the company's cabs and place a bound on the error of estimation.
Researchers asked two groups of people to construct a jigsaw puzzle. One group of 55 people, who listened to soft classical music while working, had a mean construction time of 45 minutes. Another group of 45 people, who worked in silence, had a mean construction time of 55 minutes. Assume the population standard deviations for the construction times for people listening to classical music and people working in silence are 9.5 minutes and 11 minutes, respectively. Find the upper bound of the 99% confidence interval for the difference in population construction times between people listening to classical music as they work and people working in silence. Let the people listening to classical music be the first sample, and let the people working in silence be the second sample. Assume the samples are random and independent. Assume that both the population distributions are normally distributed. Round your answer to two decimal places. 90% confidence=1.645 95% confidence=1.96…
determine the degrees of freedom if necessary
Discuss the assumptions for one-sampled t-test and why they are important.
The pooled variance is 30.68. Calculate the individual estimated variance for population 1 and population 2.
A systems analyst tests a new algorithm designed to work faster than the currently-used algorithm. Each algorithm is applied to a group of 7373 sample problems. The new algorithm completes the sample problems with a mean time of 24.2824.28 hours. The current algorithm completes the sample problems with a mean time of 26.9726.97 hours. Assume the population standard deviation for the new algorithm is 3.5873.587 hours, while the current algorithm has a population standard deviation of 4.0394.039 hours. Conduct a hypothesis test at the 0.050.05 level of significance of the claim that the new algorithm has a lower mean completion time than the current algorithm. Let μ1μ1 be the true mean completion time for the new algorithm and μ2μ2 be the true mean completion time for the current algorithm. Step 1 of 4 : State the null and alternative hypotheses for the test.
At ABC College it is estimated that at most 10% of the students use public transportation to the college. Does it seem to be a valid estimate if, in a random sample of 120 students, 25 students use public transportation. (Use α = .01)
An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 205 Fundash runners and 260 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 205 Fundash runners complete the course with a mean time of 77.6 minutes and a standard deviation of 8.2 minutes. The 260 individuals complete Coolsprint with a mean time of 76.0 minutes and a standard deviation of 7.7 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, u,, of Fundash is greater than…
In 2019 Silam Hospital hired new nurses from two top universities in the country. After one year, the hospital conducts a simple study to analyse whether there is a significant difference in regard to the performance of the nurses who graduated from the two universities. Considering the maximumperformance score of 100, the following is the result of independent sampling of the nurses’ performance scores. Assume the scores are not normally distributed. Universities A : 97 69 73 84 76 92 90 88 84 87 93Universities B : 88 99 65 69 97 84 85 89 91 90 87 91 72 a. What statistical method can be applied for this study? Explain your answer b. What is the hypothesis of the study? At a 5% significance level, is the performance between the two sample groups significantlydifferent?
An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 230 Fundash runners and 210 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 230 Fundash runners complete the course with a mean time of 77.9 minutes and a standard deviation of 6.6 minutes. The 210 individuals complete Coolsprint with a mean time of 76.6 minutes and a standard deviation of 7.3 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, U1, of Fundash is greater than…

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