10.To test Ho : u = 335 against H1 : u < 335, under normal assumptions,a random sample of size 17 yielded a = 324.8 and s = 40. Is Ho accepted at an a = 0.10significance level? What is the p-value of this test?11.Let u and o? denote the mean and variance of the random variable X.Determine E[(r - 4)/0] and E{[(x - 4)/0]?}.Let X1, X2 Xn be a random sample of size n from N (4,02 = 0),=EX - u)? is an unbiased estimator of12.%3D0 <0 < 00, where u is known. Show that Y =0.

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Answered: 10. To test Ho : u = 335 against H1 : u…

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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Q1: Suppose that Y,, Y2, Y constitute a random sample from a normal distribution with known mean u and unknown variance a?. The most powerful a-level test is sued for testing Ho:a² = o versus HA: 0² = af, where af > o3. نقطة واحدة .3 3. The rejection region is given by RR = A. True B. False
1/7.dO 14 Juel If X is random variable with parameter mean = 3 variance = 9 find 7... Find P(x> 0) 0.8413.a C 0.5 0.99 .c 0.4.d C
A random sample of size 24 and mean 2.547 was selected from normal distribution if we want to test that the population mean is less than 5.547, knowing that the sample variance 25, the critical value for alpha =0.01 is? a. 2.807 b. 2.500 c. 2.547 d. 2.33
q7
The population of healthy female adults, the mean red blood cell count (RBC) is 4.8 (millions of cells per cubic millimeter of whole blood). A researcher thinks the RBC is underestimated, so she conducts a test of significance using Null Hypothesis: µ ≤ 4.8 vs. Alternative Hypothesis: µ >4.8. If the true mean RBC is 4.75 and the null hypothesis is rejected, out of the four options below, what has occured? Type 1 Error, Type 2 Error, No error, OR can’t tell without knowing the degrees of freedom?
For each of the tests, what would be the conclusion if the test were carried out using the α = 0.05 level of significance? H0 : µ = 120, H1:µ ≠ 120, n = 36, S.D of population= 10.3, sample mean = 117.0
Suppose X1,..., Xn is a random sample from an exponential distribution with mean e. If X = 17.9 with n = 50, find (a) a one-sided 95% confidence interval for 0, and (b) a two-sided 95% confidence interval for 0.
The Wilcoxon signed-rank test can be used to perform a hypothesis test for a population median, η, as well as for a population mean, µ. Why is that so?
ou wish to test the following claim (Ha) at a significance level of α=0.005. Ho:μ1=μ2Ha:μ1≠μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either, and you have no reason to believe the variances of the two populations are equal. You obtain a sample of size n1=18 with a mean of M1=81.6 and a standard deviation of SD1=8.2 from the first population. You obtain a sample of size n2=23 with a mean of M2=88.9 and a standard deviation of SD2=5.8 from the second population. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
You wish to test the following claim (Ha) at a significance level of a = 0.02. Ho:μι ≥ με Ha:μι < με You believe both populations are normally distributed, but you do not know the standard deviations for either. You obtain a sample of size ni You obtain a sample of size n₂ = = 12 with a mean of M₁ 13 with a mean of M2 test statistic = p-value = = - 10.6. 53 and a standard deviation of SD1 59.5 and a standard deviation of SD₂ = 9.7. [three decimal accuracy] [three decimal accuracy] =
A sample of five cans of standard grade tomatoes in puree was taken at random from a production line immediately after filling, and the solid content of each can was weighed. The company desires to test whether the average weight per can is at the specified level of 22 ounces. Past experience indicates that the distribution of the weights per can is approximately normal. The α risk for the test is to be controlled at .01. For the sample, the mean weight was ?̅ =23.9 and the sample standard deviation was s = 0.822 a. State the null and alternative hypotheses. b. Determine the rejection region – indicate how you did this; don’t just give the answer. c. Compute the test statistic – indicate what formula was used. d. What is your conclusion and why?
A sample tested the claim that heights of men and heights of women have difference variances, with s = 7.44592 cm for women and 7.12432 cm for men. The sample sizes are n₁ = 142 and n₂ = 159. When using the F test with these data, is it correct to reason that there is no need to check for normality because n₁ > 30 and n₂ > 30? Choose the correct answer below. O A. No. The F test has a requirement that samples be from normally distributed populations, regardless of how large the samples are. ⒸB. No. There is no need to check for normality regardless of the sample size. There is no normality requirement for the F test. O C. Yes. The F test has a requirement that samples be from normally distributed populations, but this requirement can be ignored for large samples (n, and no greater than 30). O D. No. There is no need to check for normality as long as n₁ ≥ 10 and n₂ ≥ 10.

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