1. Consider two samplesSample A: {2,4, 3,6, 7,9}Sample B: {3,2, 5, 7, 8, 1}(a) Find the mean, median, variance, standard deviation, and 95% confidence interval of the means for eachof the samples.(6) Test the hypotheses that the two populations from which these two samples have been drawn have thesame mean and same variance.

The following table represents the given information as follows: SL No Sample A Sample B 1…

Answered: 1. Consider two samples Sample A: (2,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A psychology graduate student wants to test the claim that there is a significant difference between the IQs of spouses. To test this claim, she measures the IQs of 9 married couples using a standard IQ test. The results of the IQ tests are listed in the following table. Using a 0.10 level of significance, test the claim that there is a significant difference between the IQs assuming that the population distribution of the paired differences is approximately normal. Let the spouse 1 group be Population 1 and let the spouse 2 group be Population 2. IQs of Married Couples Spouse 1 122 104 123 113 110 103 112 111 105 Spouse 2 120 108 126 114 112 105 117 110 110 State the null and alternative hypotheses for the test. Compute the value of the test statistic. Round your answer to three decimal places. Draw a conclusion and interpret the decision.
The gas mileage for a 2020 Toyota Prius hybrid vehicle is skewed to the left, with μ = 55 miles per gallon and o = 8 miles per gallon. Suppose a random sample of n = 16 will be selected, the gas mileage will be recorded for each Toyota Prius, and the sample mean will be computed. Based on the information provided, which option applies to the distribution of possible sample mean values? The distribution of all possible sample mean values is normal because the population distribution of responses is normal. The distribution of all possible sample mean values is unknown because the sample size is not large enough and the population distribution of responses is not normal. The distribution of all possible sample mean values is approximately normal because the sample size n is large enough (at least 10 successes and at least 10 failures). The distribution of all possible sample mean values is approximately normal because the sample size n is large enough (larger than 25).
4 - A company wants to estimate, at a 95% confidence level, the annual difference between male employees' average tardiness for work and female employees' average tardiness. For this, he randomly drew 12 from men and 10 from women. It was found that male employees' average annual tardiness time for work was 12 minutes and variance was 2 minutes, and female employees' average annual tardiness time to work was 10 minutes and variance was 3 minutes. Assuming that the population variances from which the samples are drawn are homogeneous, which of the following is the confidence interval estimate for the difference between these two population means? a) (4.6 ; 7.4) B) (0.04 ; 1.18) NS) (2.1 ; 3.2) D) (0.6 ; 3.4) TO) (1.6 ; 2.4)
Suppose you needed to test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 13, a1 = 24, 81 = 7.55 Sample 2: n2 = 3, x2 = 21.9, 82 = 8.92 Find: (a) The estimated degree of freedom is (b) The standardized test statistic is (use Sample 1 - Sample 2)
A study was conducted by a group of neurosurgeons. They compared a dynamic system (Z-plate) and a static system (ALPS plate) in terms of the number of acute postoperative days in the hospital spent by the patients. The descriptive statistics for these data are as follows: for 14 patients with dynamic system, the sample mean number of acute postoperative days was 7.36 with standard deviation of 1.22; for 6 patients with static system the sample mean number of acute postoperative days was 10.5 with sample standard deviation of 4.59. Assume that the numbers of acute postoperative days in both populations are normally distributed. We wish to estimate µ1 − µ2 with a 99 percent confidence interval. Can you assume unknown population variance are equal. a. Degrees of freedom and t-value are b. Margin of error and confidence interval are c. Based on your interval in part (b), we can state with 99 percent confidence that the average numbers of acute postoperative days in two populations i.…
suppose the number of off springs a female eagle raises during its lifetime has a disturibution mean 14 and variance 4.7 in an area, 45 rescued and cured female eagles are set free. if these eagles are assumed to be independent (no lack of male partners and food resources) the total number of off springs produced by these eagles can be assumed to have a normal distirubition with mean ...... and variance .... what will the values of mean and variance ?
An article in Knee Surgery Sports Traumatology, Arthroscopy, "Effect of provider volume on resource utilization for surgical procedures," (2005, Vol. 13, pp. 273-279) showed a mean time of 116 minutes and a standard deviation of 18 minutes for ACL reconstruction surgery for high-volume hospitals (with more than 300 such surgeries per year). If a high-volume hospital needs to schedule 10 surgeries, what is the mean and variance of the total time to complete these surgeries? Assume the times of the surgeries are independent and normally distributed. Mean = i Variance = i minutes minutes²
A performance analyst simulated a computer system a total of 10 times, each simulation run independent of all the others. She calculated and recorded the sample means for system response time from each of the 10 runs, coming up with the following data: 2,5,17,3,9,6,4,25,8,1(a) What is the confidence interval with a 95% confidence level for the mean response time? (b) The performance analyst was concerned that the width of the confidence interval was too large, and consulted one of her colleagues (who never took simulation and modeling). He assured her that the width of the confidence interval was large because of the two large "outliers," the values 17 and 25, and that she could reduce the width of the confidence interval simply by discarding these values. She tried this, and discovered that the width of the interval did indeed go down substantially. Is this a valid method? Why or why not?
The fan blades on commercial jet engines must be replaced when wear on these parts indicates too much variability to pass inspection. If a single fan blade broke during operation, it could severely endanger a flight. A large engine contains thousands of fan blades, and safety regulations require that variability measurements on the population of all blades not exceed ?2 = 0.18 mm2. An engine inspector took a random sample of 81 fan blades from an engine. She measured each blade and found a sample variance of 0.28 mm2. Using a 0.01 level of significance, is the inspector justified in claiming that all the engine fan blades must be replaced? (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) Find or estimate the P-value of the sample test statistic. P-value > 0.1000.050 < P-value < 0.100 0.025 < P-value < 0.0500.010 < P-value < 0.0250.005 < P-value < 0.010P-value < 0.00 Find a 90% confidence interval…
I only need C and D Based on the average predictions of 47 members of the National Association of Business Economists (NABE), the U.S. gross domestic product (GDP) will expand by 3.2% in 2011 (The Wall Street Journal, May 23, 2010). Suppose the sample standard deviation of their predictions was 1%. At a 5% significance level, test if the mean forecast GDP of all NABE members is greater than 3%. (You may find it useful to reference the appropriate table: z table or t table) a. Select the null and the alternative hypotheses. multiple choice 1 H0: μ = 3; HA: μ ≠ 3 H0: μ ≤ 3; HA: μ > 3 H0: μ ≥ 3; HA: μ < 3 b. Calculate the value of test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) c. Find the p-value. multiple choice 2 p-value ≤ 0.01 0.01 < p-value ≤ 0.025 0.025 < p-value ≤ 0.05 0.05 < p-value ≤ 0.10 p-value >0.10 d. At a 5% significance level,…
(i) Determine whether the hypothesis test is one tailed or two tailed. (ii) Find the P-value. Round the answer to four decimal places. (iii) Make the decision and summarize the results.
A certain producer of chocolate has some problems with the variability of five suppliers of cocoa. Since the cocoa quality is critical to the final chocolate product, the company has decided to perform a DOE to compare these suppliers. According to experiences with customers, the capacity of detection of any variation is 3.5 units. Estimate the sample size needed to get at least a power of 85%, given that the historical variance of the process is 2.5 units.

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS