1) A random sample of size n₁=== 25, taken from a normal population with a standard deviation0₁ = 5.2, has a mean x₁ = 81. A second random sample of size ₁ 36, taken from a differentnormal population with a standard deviation o₂ = 3.5, has a mean x₂ = 76. Test the hypothesisthat μ₁ = H2 against the alternative μ₁ # 2. Quote a P-value in your conclusion.

sample size(n1)=25standard deviation()=5.2Mean()=81sample size(n2)=36standard…

Answered: A random sample of size n₁ = 25, taken…

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 population of N = 25 scores has ΣX = 40 and ΣX2= 120. For this population, what is the value of SS (sum of squared deviations)?
You wish to test the claim Ha using a significance level of α=0.01. Ho:μ1=μ2 Ha:μ1≠μ2 You obtain a sample of size n1=28 with a mean of ¯x1=52.3 and a standard deviation of s1=13.7 from the first population. You obtain a sample of size n2=25 with a mean of ¯x2=42.1 and a standard deviation of s2=18.1 from the second population. Use the Theory-based inference applet to answer the following questions. (a) What is the t-score for this situation? Report your answer accurate to two decimal places. t-score = (b) What is the (theory-based) p-value for this situation? Report your answer accurate to four decimal places. p-value = (c) State a conclusion about the claim using a complete sentence.
Select the most appropriate response. It is claimed that the mean age of bus drivers in Chicago is 59.3 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? Question 2 options: There is not sufficient evidence to reject the claim µ = 59.3. There is sufficient evidence to reject the claim p = 59.3. There is not sufficient evidence to support the claim p = 59.3. There is sufficient evidence to support the claim u = 59.3.
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.
A sample of n = 64 scores has a mean of M = 68. Assuming that the population mean is p = 60, find the z-score for this sample: If it was obtained from a population with o = 16 Z = If it was obtained from a population with o = 32 Z = If it was obtained from a population with o = 48 Z =
Assume that you have a sample of n1=8, with the sample mean X1=44, and a sample standard deviation of S1=5, and you have an independent sample of n2=14 from another population with a sample mean of X2=30 and the sample standard deviation S2=6. a. What is the value of the pooled-variance tSTAT test statistic for testing H0: μ1=μ2? tSTAT=______ (Round to two decimal places as needed.)
A sample of patients is tested to determine if they have any hospital borne infections. How large of a sample must be collected to be accurate within 0.01 at the 1% level of significance, if the hospital estimates the true proportion of patients infected is 0.045? p̂ = q̂ = E = Z= n=
ndependent random samples are selected from two populations and are used to test the hypothesis Hn: (H, - H2) = 0 against the alternative H,: (4, - H2) #0. An analysis of 232 observations from population 1 and 311 from population 2 yielded p-value of 0.113. Complete parts a and b below. a. Interpret the results of the computer analysis. Use as0.10. A. Since this p-value exceeds the given value of a, there is insufficient evidence to indicate that the population means are different. O B. Since the given a value exceeds this p-value, there is insufficient evidence to indicate that the population means are different. OC. Since the given a value exceeds this p-value, there sufficient evidence to indicate that the population means are different. O D. Since this p-value exceeds the given value of , there is sufficient evidence to indicate that the population means are different. b. If the alternative hypothesis had been Ha: (H1 - H2) <0, how would the p-value change? Interpret the p-value…
Perform the hypothesis tests as required. Use the four-step method. 3. Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men in 2000. To look at changes in incidence over time, 5000 men in this age group were followed for 1 year starting in 2010. Fifteen new cases of MI were found. Using the p-value method with α = 0.05, test the hypothesis that incidence rates of MI changed from 2000 to 2010.
A nationwide survey in 2001 revealed that U.S. grade-school children spend an average of µ = 8.0 hours per week doing homework. The distribution is normal with σ = 2.5. Last year, a sample of n = 100 grade-school children was given the same survey. For this sample, the mean number of homework hours was 7.4. Has there been a significant change in the homework habits of grade-school children? Test with α = .05. For each problem students will write out all steps of hypothesis testing: State the null and research hypotheses. Set the level of risk associated with the null hypothesis. Select the appropriate test statistic. Compute the test statistic value (called the obtained value). Determine the value needed for rejection of the null hypothesis using the appropriate table of critical values for the particular statistic. Compare the obtained value and the critical value. Make your decision

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