Exercise 5. Assume that we have observed the following values from a normal distribution withknown variance o? = 1 and unknown mean µ.1.23-0.671.161.67-0.242.990.021.170.271.21.Test the hypothesis Ho: µ = 0 against the alternative H1: µ #0 at significance level a =5%.

Answered: Image /qna-images/answer/b1358cf3-beb3-4a0b-98bc-65995f6c2578.jpg

Answered: Exercise 5. Assume that we have…

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 sample of size 5 was collected from an unknown population 15 15 16 16 17 1. Use the table of expected z-scores (rounded to the nearest tenth) below to construct the normality plot with expected z-scores on the x-axis and the observations on the y-axis: 6 -1.3 -0.6 -0.2 0.2 0.6 1.3 5 -1.2 -0.5 0 0.5 1.2 -1 19 18 normal O not normal Clear All Draw: 17- 16- 14 T 15- رها 1 2 7 -1.4 -0.8 -0.4 0 0.4 0.8 1.4 8 -1.4 -0.9 -0.5 -0.2 0.2 0.5 0.9 1.4 9 -1.5 -0.9 -0.6 -0.3 0 0.3 0.6 0.9 1.5 2. Based on whether the pattern above is linear or not, in your opinion, was the sample drawn from a normal population or not?
You wish to test the following claim (H.) at a significance level of a = = 0.02. H.: 41 Ha: µ1 – µ2 > 0 You obtain a sample of size ị the first population. You obtain a sample of size n2 of s2 57.2 and a standard deviation of s1 85 with a mean of 2 65 with a mean of x1 17.2 from 54.7 and a standard deviation 7.1 from the second population. You will need to determine whether or not to pool so you will use the correct df. What is the critical value for this test? Report answer accurate to three decimal places. critical value =
6
TF.17 The average number of UHD TVs sold daily at a Best Buy store is known to be 28 and approximately normally distributed. A random sample of 21 days shows sample mean x̄ = 31 with standard deviation s = 7.7. Test the hypothesis Ho : μ = 28 against Ha : μ ≠ 28 at α = 0.10 and at α = 0.05 levels of significance. Use t-distribution.
Need help finding what t= to
Find the Q1, Q3 and IQR of the 1% hydrogen peroxide
You wish to test the following claim (Ha) at a significance level of a = 0.10. H.: µ1 – µ2 = 0 Ha: µ1 – µ2 > 0 You obtain a sample of size nị the first population. You obtain a sample of size of s2 = 54.9 and a standard deviation of s1 = 78 with a mean of 2 65 with a mean of x1 17.1 from 46.7 and a standard deviation n2 7.2 from the second population. You will need to determine whether or not to pool so you will use the correct df. What is the critical value for this test? Report answer accurate to three decimal places. critical value
Calculate the missing values in the Stata output (SKIP E!!!). Two-sample t test with A variances X y combined diff Obs Ho: diff = 0 49 30 79 diff = mean(x) Ha: diff |t|) = Std. Dev. 6.5 7.4 6.935314 G E [95% Conf. Intervall 40.33298 39.62126 C F degrees of freedom = 44.86702 Pr{T > t) 42.72811 1.6996 77 Ha: diff > 0 H
Medical Operations The director of a medical hospital feels that her surgeons perform fewer operations per year than the national average of 211. She selected a random sample of 15 surgeons and found that the mean number of operations they performed was 210.6. The standard deviation of the sample was 3.8. Is there enough evidence to support the director's feelings at =α0.10? Assume that the population is approximately normally distributed. Use the critical value method and tables.a. State the hypotheses and identify the claim H0= (claim or not claim) H1= (claim or not claim) This hypothesis test is a (one tailed or two tailed) test Critical value(s)= t= (Reject or do not reject) the null hypothesis is there enough evidence to support the claim?
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.      Ho:p=0.5Ho:p=0.5      Ha:p≠0.5Ha:p≠0.5You obtain a sample of size n=190n=190 in which there are 85 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
You wish to test the following claim (H1H1) at a significance level of α=0.10α=0.10.      H0:μ=51.8      H1:μ<51.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=19n=19 with mean ¯x=42.4x¯=42.4 and a standard deviation of s=13.2s=13.2.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = ____________What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = __________The p-value is... less than (or equal to) αα or greater than αα This test statistic leads to a decision to... reject the null or accept the null or fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 51.8. or There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 51.8. or The sample…
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.      Ho:μ=80.6Ho:μ=80.6      Ha:μ<80.6Ha:μ<80.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=17n=17 with mean M=72.1M=72.1 and a standard deviation of SD=11.7SD=11.7.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This p-value leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 80.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 80.6. The sample data support the claim that the population mean is less than 80.6. There is not sufficient sample evidence to support the claim that…

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Exercise 5. Assume that we have observed the following values from a normal distribution with known variance o² = 1 and unknown mean µ. 1.23 -0.67 1.16 1.67 -0.24 2.99 0.02 1.17 0.27 1.21. Test the hypothesis Ho: u = 0 against the alternative H1: u70 at significance level a = 5%.