2.A manufacturer of construction materials claims that their structural steel rods have amean tensile strength of 500Mpa. We test a sample of 9 of the rods for their tensile strength (inMPa) and record the results below.494 491 477 485 493 507 474 493 508From our sample, is there evidence to suggest that the true mean tensile strength of the rods is not500 Mpa? Perform the appropriate hypothesis test.(a) Using the correct notation, define the parameter of interest. Then, state the null and alternativehypotheses for this study in terms of the parameter.(b) Specify (with justification) the test statistic and state its distribution (Z or T, and degrees offreedom, if needed) it follows.(c) Compute the observed value of the test statistic.(d) Compute the p-value or provide a range of appropriate values for the p-value.(e) Using the p-value, determine the level of evidence against Ho. In a plain English sentence, statea conclusion for the study.2

Let be the population mean tensile strength.Given that,Sample size Population mean Assume the level…

Answered: (a) Using the correct notation, define…

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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Suppose you needed to test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: n1 = 13, a1 = 24, s1 = 7.55 Sample 2: n2 = 3, x2 = 21.9, s2 = 8.92 Find: (a) The estimated degree of freedom is (b) The standardized test statistic is (use Sample 1 - Sample 2)
Given a normal distribution with (Greek mu)=50 and (Greek sigma)=5, if you select a sample of n=100, what is the probability that x is less than 47?
The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of = 0.05. E Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. OA. OB. Oc. OD. 70- 70- Q 70- 70- ... ++++++ 20 - 20 Best Actress (years) 20- 70 20 Best Actress (years) 20- 20 Best Actress (years) 70 20 Best Actress (years) 70 70 Best Actresses and Best Actors Best Actress 27 29 30 58 33 34 46 30 62 22 44 51 D Best Actor 44 36 38 44 53 46 56 49 41 52 44 33
#22).
Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?
We want to conduct a hypothesis test of the claim that for middle-aged adults the population's mean of their cholesterol levels is more than 199.3 mgdL. We choose a random sample of such levels. The sample has a mean of 197.3 mgdL and a standard deviation of 19.5 mgdL. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 105, and it is from a non-normally distributed population with a known standard deviation of 19.2. z = t = It is unclear which test statistic to use. (b) The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. z = t = It is unclear which test statistic to use.
Consider the following hypothesis test. a. What is your conclusion if = Calculate the value of the test statistic (to 2 decimals). 21, s = 8.2, n₂ = 26, and s=4.0? Use a = The p-value is between 0.05 and 0.10 What is your conclusion? Cannot conclude that the two population variances are different b. Repeat the test using the critical value approach. What is the rejection rule for this hypothesis test? Round the critical values to 2 decimal places. Reject Ho if F greater than or equal to ✓ What is your conclusion? Hide Feedback Partially Correct Use Table 4 of Appendix B. Cannot conclude that the two population variances are different Ho: ₁ = 0 H₂: 002/ 0.05 and the p-value approach.
(c) Identify the standardized test statistic. Use technology. z=kjkj (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. A. RejectH0. There is sufficient evidence to reject the claim that mean bulb life is at least 743 hours. B. Fail to reject H0. There is sufficient evidence to reject the claim that mean bulb life is at least 743 hours. C. Reject H0. There is not sufficient evidence to reject the claim that mean bulb life is at least 743 hours. D. Fail to reject H0. There is not sufficient evidence to reject the claim that mean bulb life is at least 743 hours.
Write out the null and alternative hypotheses (making sure that your notation is understandable) and the distribution of the test statistic (but not the test statistic itself) used to address these questions.
#23).
We want to conduct a hypothesis test of the claim that the population mean time it takes drivers to react following the application of brakes by the driver in front of them is more than 2.3 seconds. So, we choose a random sample of reaction time measurements. The sample has a mean of 2.2 seconds and a standard deviation of 0.5 seconds. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 12, and it is from a normally distributed population with an unknown standard deviation. O z = 0 %3D Ot= It is unclear which test statistic to use. (b) The sample has size 17, and it is from a population with a distribution about which we know very little. O z t =|| D- It is unclear which test statistic to use.
a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) and (e) Can we conclude that the mean travel time via the 10 freeway, μ1 , is different from μ2 , the mean travel time via the 60 freeway? Yes No

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(a) Using the correct notation, define the parameter of interest. Then, state the null and alternative hypotheses for this study in terms of the parameter. (b) Specify (with justification) the test statistic and state its distribution (Z or T, and degrees of freedom, if needed) it follows.