2. Take the setting of Question 2 from Tutorial sheet 4. However, now supposethat instead of a one-sided test we are performing a two sided test of size asuch that:Ho: μ = μo vs H: μ + μοIn Tutorial 4 we derived that under the null hypothesis the test statisticû(X) — – μοT(X) ==~tn-1$²nwhere û(X) is the mean of the X;'s and S² is the sample variance has a tñ−1 isthe student t distribution on n - 1 degrees of freedom.Derive an expression for the rejection region for this two-sided test of size athat uses T(X) as the test statistic.

The hypothesis is This is a two-sided test.The test statistic is Want to derive the expression for…

Answered: 2. Take the setting of Question 2 from…

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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A medical social worker is interested in examining the relationship between patients who receive social support by family members (yes/no) and the patients’ outcome (failure/success). She collected data over a period of a month (N=100). A chi square analysis revealed the following: χ2= 5.65, df = ?, p = .01. 1. Was a chi-square analysis appropriate to analyze these variables? How do you know?
Show step by step 1 Simulate the failure times of 100 units randomly selected from a Weibull distributionwith characteristic life θ = 100 and shape parameter α = 3. Plot the histogram ofthese 100 data points and comment on this histogram. 2. Suppose the data of the last question came from a life testing but the test was stoppedat the 50-th failure. Re-organize the data set and re-plot the histogram. Compare thisplot with the previous plot and comment on these plots. Show step by step
Stoaches are fictional creatures, sometimes mistaken for mome raths. Suppose a two-tailed t-test is conducted to test for a difference between the population means of adult female stoach weights and adult male stoach weights. The female sample has 13 weights, and the male sample has 7 weights. The t-statistic for the test is -0.20542. What is the p-value? (Give your answer to 4 decimal places.) p-value:
The desired percentage of SiO₂ in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO₂ in a sample is normally distributed with = 0.32 and that x = 5.23. (Use a = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. O Ho: μ = 5.5 H₂:μ> 5.5 O Ho: μ = 5.5 H₂: μ = 5.5 ⒸHO: μ = 5.5 H₂:μ ≥ 5.5 O Ho: μ = 5.5 H₂: μ< 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State the conclusion in the problem context. O Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true verage percentage differs from the desired percentage. O Reject the null hypothesis. There is not sufficient evidence to…
You are performing a left-tailed t - test with test statistic t=-1.62 and a sample of size 23, find the p-value to 4 decimal places. Note: You will need to use the Z and T sheet for this problem.
In a test of HO: μ-25 against HA: μ # 25, a sample of size 125 produces Z = 1.28 for the value of the test statistic. What is the p-value equal to? Use four decimal places. Do not show any work.
An SRS of n = 20 observations is collected from a normal population to test H0 ∶ µ = 15 against Ha ∶ µ ≠ 15. If the t-statistic for this test is t = -2.06, which of the following is true? A. 0.01 < P-value < 0.025 B. 0.05 < P-value < 0.25 C. 0.025 < P-value < 0.05 D. 0.25 < P-value E. 0.0 < P-value < 0.01
Question 1
You may need to use the appropriate appendix table or technology to answer this question. Given are five observations for two variables, x and y. (Round your answers to two decimal places.) xi 1 2 3 4 5 yi 4 6 6 11 14 (a) Use sŷ* = s 1 n + (x* − x)2 Σ(xi − x)2 to estimate the standard deviation of ŷ* when x = 4. (b) Use ŷ* ± tα/2sŷ* to develop a 95% confidence interval for the expected value of y when x = 4. to (c) Use spred = s 1 + 1 n + (x* − x)2 Σ(xi − x)2 to estimate the standard deviation of an individual value of y when x = 4. (d) Use ŷ* ± tα/2spred to develop a 95% prediction interval for y when x = 4. to
You may need to use the appropriate appendix table or technology to answer this question. Given are five observations for two variables, x and y. (Round your answers to two decimal places.) xi 1 2 3 4 5 yi 4 8 5 11 15 (a) Use sŷ* = s 1 n + (x* − x)2 Σ(xi − x)2 to estimate the standard deviation of ŷ* when x = 5. (b) Use ŷ* ± t?/2sŷ* to develop a 95% confidence interval for the expected value of y when x = 5. to (c) Use spred = s 1 + 1 n + (x* − x)2 Σ(xi − x)2 to estimate the standard deviation of an individual value of y when x = 5. (d) Use ŷ* ± t?/2spred to develop a 95% prediction interval for y when x = 5. to I need all the parts, I attached a picture of the whole question in case the one I copied above was not clear enough.
PLEASE ANSWER Z, P-VALUE TY!
4.5. After fitting the regression model, y= Bo + Bix1 + Brx2+ B3x3+€ on 15 cases, it is found that the mean square error s? =3 and 0.5 0.3 0.2 0.6 0.3 6.0 0.5 0.4 (X'X)-' = 0.2 0.5 0.2 0.7 0.6 0.4 0.7 3.0 Find a. The estimate of V (ß1). b. The estimate of Cov(ß¡, ß3). c. The estimate of Corr(ß1, ß3). d. The estimate of V (ß¡ – B3).

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