ROBLEM 3 (15 points total). Structural steel alloys are often subjected to an annealing process to improvemachinability. Machinability is associated with lower hardness. As part of process characterization for a new annealingprocess, the hardness of n = 10 individually marked test coupons were measured both before and after the annealingcycle. The engineering team wants to know whether the annealing process resulted in a statistically significant changeinA) State the appropriate null and alternative hypotheses for a two-sided test.B) Compute the test statistic for your null hypothesis.C) Compute (or place a bound) on the p-value for your test outcome.D) Based on the p-value, what conclusion do you draw regarding the null hypothesis? Is there sufficient evidencethat demonstrates that the annealing process changes hardness to a statistically significant degree at the a=0.05level of significance? whatAfter1 321.6 296.02 299.4318.33 309.6323.94 312.8305.15 335.3314.86 324.9314.27318.9311.28 318.3320.39 320.9316.010322.0295.4Sample ID Before...face ofBefore - AfterDifference25.6-18.9-14.37.720.510.77.7-2.04.926.66.915.4MeanStdev

Given that n = 10 , df = n - 1 = 10 - 1 = 9 Note: According to bartleby experts question answers…

Answered: A) State the appropriate null and…

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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(c) Calculate the test statistic. d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
Which of the following is the first step in hypothesis testing? (a) Developing a null and alternative hypothesis. (b) Drawing a sample from the population. (c) It does not matter where you begin when you test hypotheses. (d) Setting the cutoff value for rejecting the null hypothesis.
A researchers claims 45% of couples have children. They conduct a hypothesis test and reject the null hypothesis. What type of error could have been committed here? Type 1, type 2, or power if the test?
A group of 250 patients was randomly split into two groups of 125 patients. The first group of 125 patients was given treatment A, and 72 of them improved their condition. The second group of 125 patients was given treatment B, and 60 of them improved their condition. Perform a hypothesis test to investigate whether there is evidence of a difference between the two treatments. What is the p-value of the test?
In each part, we have given the significance level and the P-value for a hypothesis test. For each case determine if the null hypothesis should be rejected. Write "reject" or "do not reject" (without quotations - if you like use copy and paste to avoid typos). (a) α= 0.01, P = 0.06 answer: (b) a = 0.06, P = 0.001 answer: (c) a = 0.07, P = 0.06 answer:
Suppose you have a hypothesis test which never rejects the null hypothesis, no matter the value of the test statistic. Name a potential problem with such a test. Select one: a. There can be no problem with such a hypothesis test, this is the ideal scenario. b. Using this test would lead to making an excessive number of Type I errors. c. Using this test would lead to making an excessive number of Type II errors.
A politician believes that 60% of constituents are in favor of a particular issue. She takes a sample of 100 constituents and finds that 55 favor the issue. If you were to conduct a hypothesis test of this claim, what would be the decision rule?
Which hypothesis test would be appropriate to determine whether the new variety of orange has a significantly higher content of vitamin C than the variety that is currently the top seller? Do NOT perform a hypothesis test – simply tell me which test should be used, why you chose this test, and give the formula for the test statistic.
Find the P-value for the indicated hypothesis test.In a sample of 47 adults selected randomly from Vancouver, it is found that 9 of them have been exposed to the flu. Find the P-value for a test of the claim that the proportion of all adults in Vancouver that have been exposed to this strain of the flu is more than 8%.
H.P. statistician, please show work and neat handwriting
A university has decided to introduce the use of plus and minus grading as long as there is evidence that 60% of the faculty is in support of this change. Write an appropriate null hypothesis and alternate hypothesis to test if the proportion is greater than 60%.
In a hypothesis test, the researcher does not reject the null hypothesis at 5% level of significance. Which of the following conclusions necessarily follows? The p-value of the test was less than 10%, O None of them. O The researcher performed a two-tailed test with 10% significance level. O The null hypothesis would not have been rejected at 1% level of significance. The p-value of the test was less than 3%.

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A) State the appropriate null and alternative hypotheses for a two-sided test. B) Compute the test statistic for your null hypothesis. C) Compute (or place a bound) on the p-value for your test outcome.