The breaking strengths of cables produced by a certain company are approximately normally distributed. Thecompany announced that the mean breaking strength is 2140 pounds with a variance of 32,761. A consumerprotection agency claims that the actual variance is higher. Suppose that the consumer agency wants tocarry out a hypothesis test to see if its claim can be supported. State the null hypothesis Ho and thealternative hypothesis H₁ they would use for this test.Ho:H₁: 0μOSO0=0XXР☐#0SO0 020

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Answered: The breaking strengths of cables…

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 it is desired to estimate the variance of the tensile strength of a particular type of thread. For 21 pieces of this type of thread, E (X; – Xave)² = 2000. Suppose a hypothesis testing procedure is wished to be carried out to check whether or not it is safe to assume that the variability in tensile strength of thread is 110. Derive the condition that needs to be satisfied, expressed in terms of the value of s? (sample variance), such that the null hypothesis will be accepted. (Use 0.05 level of significance.) What is the maximum value of s? such that we still accept tensile strength variability to be 110?
An automobile manufacturer claims that their van has a 50.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 101 vans they found a mean MPG of 50.1 with a variance of 4 MPG. Is there sufficient evidence at the 0.1 level that the vans have an incorrect manufacturer's MPG rating? State the null and alternative hypotheses for the above scenario. Answer Ho H₂ Tables Keypad Keyboard Shortcuts
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The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a variance of 0.0016. The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0016. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. Ho: o = H: 0.0016 O
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An electronic company's records show that the mean number of circuit.boards rejected per batch is 5.7 with a variance of 1.4. Due to a change in the molding process, factory management has hired you to perform a hypothesis test to check if the variance, o, has increased. To do so, you test a random sample of 10 batches produced using the new process; the number of circuit boards rejected per batch has a sample variance of 2.5. Under the assumption that the number of circuit boards rejected per batch using the new process follows a normal distribution, you will perform a chi-square test. Find x, the value of the test statistic for your chi-square test. Round your answer to three or more decimal places. * = 0
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You may need to use the appropriate technology to answer this question. Submitted The following table contains observed frequencies for a sample of 200. Column Variable Row Variable A B C P 20 44 50 Q 30 26 30 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. Ho: The column variable is independent of the row variable. H: The column variable is not independent of the row variable. Ho: Variable P is not independent of variable Q. H: Variable P is independent of variable Q. Ho: Variable P is independent of variable Q. H: Variable P is not independent of variable Q. : The column variable is not independent of the row variable. Ho: : The column variable is independent of the row variable. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value %3D State your conclusion. Reject Ho. We conclude that the column and row variables are…
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