Why should we use a lower confidence bound for Question 10-3 part (b)? both machines fillX, =7.8. Use a = 0.05.(a) Test the hypothesis and find the P-value.(b) Explain how the test could be conducted with a confidenceinterval.een 12.22 andat we are 90%this volume is 16taken from the oure millimeter)(c) What is the power of the test in part (a) for a true differencein means of 3?16.0(d) Assume that sample sizes are equal. What sample sizeshould be used to obtain B = 0.05 if the true difference inmeans is 3? Assume that a =16.016.0mean strengt0.05.16.0JS 10-2.H, : H, <µ2 with known variances oj = 10 and o, = 5. Supposethat sample sizes n, = 10 and n, = 15 and that = 14.2 andX = 19.7. Use a = 0.05.(a) Test the hypothesis and find the P-value.(b) Explain how the test could be conducted with a confi-dence interval.Consider the hypothesis test Ho:H = µ2 against16.%3D%3D(a) Do you thirthe P-value%3D%3D(b) Calculatemeans. Prc(c) What is the power of the test in part (a) if µ, is 4 units lessthan u,?(d) Assume that sample sizes are equal. What sample sizeshould be used to obtain B = 0.05 if u, is 4 units less than u,?Assume that a = 0.05.V 10-3.H1:H1 > H2 with known variances o = 10 and o2 = 5. Supposethat sample sizes n, = 10 and n = 15 and that x = 24.5 andX2 = 21.3, Use x = 0.01.(a) Test the hypothesis and find the P-value.(b) Explain how the test could be conducted with a confidence(c) What is thin meanstwo sampleaired so that(d) Assumeshould bedence. Theence in mConsider the hypothesis test Ho:H = µ2 againstJ 10-5.TVcomponent mplastic is imprandom sampand X2 = 155%3D%3D%3D10-8)mean breakirinterval.(a) Based o(c) What is the power of the test in part (a) if µ, is 2 unitsgreater than u2?(d) Assume that sample sizes are equal. What sample sizeshould be used to obtain B = 0.05 if µ, is 2 units greaterthan 2? Assume that a = 0.05.Use a =(b) CalculateSuppose(c) Find thedoes not

Given : σ1 =10σ2 =5x¯1= 24.5x¯2= 21.3n1 = 10n2 = 15α = 0.01

Answered: 10-3. Consider the hypothesis test Ho:H…

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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QUESTION 3 In a random and independent sample of 4000 students 35% of them were in favor of more online courses. What is the multiplier for the 90% confidence interval level?
We would like to compute a 98% confidence interval on the proportion of CBC students that will be transferring to a 4 year college or university after their time at CBC. The current proportion is unknown and we would like an error of no more than 1.5% in the estimate. How large of a sample needs to be taken?
A sample of sizen = 100 is used to test H,: µ 20. The value of u will not have practical significance unless µ > 25. The population standard deviation is o = 10. The value of xis 21. Assume the sample size is n = 100. Compute the P-value. Show that you do not reject Но- Assume the sample size is n = 1000. Compute the P-value. Show that you reject Họ. Do you think the difference is likely to be of practical significance? Explain. d. Explain why a larger sample can be more likely to produce a statistically significant result that is not of practical significance. a. b. C.
Suppose a 95% confidence interval for the difference in test scores between Class 1 and Class 2 (in that order) is the following: 9 +/− 2. These results were based on independent samples of size 100 from each class. Now suppose you switch the order of Class 1 and Class 2 in your analysis but keep the data labeled correctly in terms of which class they came from. Which of the following statements is false? A) You can't do it this way. You'll get negative numbers for the difference in the means and/or negative numbers for the standard error. B) You are confident that the average for Class 2 is 7 to 11 points lower than for Class 1. C) You are still confident that the classes have significantly different mean scores. D) Your 95% confidence interval will now be entirely negative: from −7 to −11.
Now assuming the professor is female. What is the predicted difference in performance between a female and a male student now?
Suppose you are planning an experiment and a sample has yet been selected. For this experiment you plan on taking a SRS of 50 mice with pancreatic cancer measuring a particular hormone level. What would be the impact on a 95% confidence interval calculated from the experiment on these mice if instead of a SRS of 50 mice, a SRS of 200 mice were taken?
What is the formula for CONFIDENCE INTERVAL (CI) FOR μ1 – μ2 (TWO INDEPENDENT SAMPLES)?
you conducted additional studies with these men and found the following: a. The RR for those who drank one drink per day was 1.50 (95% CI:1.32-1.67) in comparison to the abstainers. b. For those men who drank three or more drinks per day the RR compared to the abstainers was 4.20 (95% CI 2.68-5.85). Question: We can tell from the Confidence Intervals provided in #7 whether there are likely more people in the “one drink a day” group or the “3+ drinks per day” group. Which one likely has more people and how can we tell?
According to a Field Poll, 263 out of 569 of California adults feel that "education and our schools" is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education and the schools is one of the top issues facing California. The error bound is ___________ rounded to 4 decimal places.
The general form of a confidence interval is inferred as
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