=O CONFIDENCE INTERVALS AND HYPOTHESIS TESTINGIntroduction to performing a hypothesis test: Critical value...Two-tailedStep 2: Enter the critical value(s).(Round to 3 decimal places.)Step 3: Enter the test statistic.(Round to 3 decimal places.)(b) Based on your answer to part (a), choose the correct statement.The value of the test statistic lies in the rejection region.The value of the test statistic doesn't lie in the rejection region.ExplanationCheckX0.3+S0.2+(c) Based on your answer to part (b), which statement below is true at the 0.05 level of significance?O The null hypothesis should be rejected.The null hypothesis should not be rejected.0.1-X$SⒸ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibi Suppose there is a claim that a certain population has a mean, μ, that is less than 6. You want to test this claim. To do so, you collect a large random samplefrom the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis Ho and the alternativehypothesis H₁ as follows.Họ: u=6H₁: μ<6Suppose you also know the following information.escThe critical value is -1.645 (rounded to 3 decimal places).The value of the test statistic is -1.106 (rounded to 3 decimal places).(a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test.Standard Normal Distribution...Step 1: Select one-tailed or two-tailed.O One-tailedO Two-tailedStep 2: Enter the critical value(s).(Round to 3 decimal places.)Step 3: Enter the test statistic.(Round to 3 decimal places.)Explanation CheckF220F3DODF4SAF5F603-0.2-0.1F7Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | AccessibilityF8F9F10F11F12E

Answered: Suppose there is a claim that a certain…

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 there is a claim that a certain population has a mean, u, that is equal to 6. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, H, and the alternative hypothesis, H, as follows. 国 Hoi u=6 Hi u#6 An Suppose you also know the following information. The value of the test statistic based on the sample is 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. o One-tailed o Two-tailed 0.3 Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p- value. (b) Based on your answer to part (a), which statement below is true? o Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since…
Molly works for a meat producer, and she needs to determine whether containers of ground beef have the correct fat content. She obtains a random sample of 120 containers of ground beef and finds that 84 percent have the correct fat content. Molly then conducts a hypothesis test of H0:p=0.80H0:p=0.80 versus Ha:p≠0.80Ha:p≠0.80 and calculates a test statistic of 1.10 with a pp-value of 0.273. Which of the following best represents the meaning of the pp-value? If the population proportion is 0.84, the probability of observing a sample proportion of 0.80 is 0.273. A If the population proportion is 0.84, the probability of observing a sample proportion of at least 0.04 less than 0.84 is 0.273. B If the population proportion is 0.80, the probability of observing a sample proportion within 0.04 of 0.80 is 0.273. C If the population proportion is 0.80, the probability of observing a sample proportion at least 0.04 greater than 0.80 is 0.273. D If the…
Imagine you are doing a Related-Samples t-test, and you are on Step Two of the hypothesis test. The sample of difference scores that you calculated is -1, -1, -3, +2, 0, -4. If you are doing the test with α = .01, and two tails, what would he correct t-critical be?
Suppose there is a claim that a certain population has a mean, 4, that is different than 9. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H1, as follows. Hg: 4= 9 H: u=9 Suppose you also know the following information. The value of the test statistic based on the sample is -2.044 (rounded to 3 decimal places). The p-value is 0.041 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2+ Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), which statement below is true? O since the p-value is less…
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
Answer all
Suppose there is a claim that a certain population has a mean, u, that is different than 7. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H, as follows. Ho: H=7 H: u#7 Suppose you also know the following information. The value of the test statistic based on the sample is - 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.3 Step 3: Shade the area represented by the p- value. 0.2 Step 4: Enter the p- value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the…
What is the critical t score if you are testing a one-tailed hypothesis, α level of .05 with df = 36? a. 1.671 b. 2.026 c. 2.028 d. 1.697
Let’s suppose that in the U.S. population, 20% of people make more $100,000 a year. We would like to see if it is higher than this for graduates. The null and alternative hypotheses would then be H0 : u <= 0.2 Ha: > 0.2 In a survey given to a sample of graduates, we find that 38 out of 200 earned more than $100,000. What is the associated p-value of the test? a. 0.6368 b. 0.0576 c. 0 d. 0.3632
3/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…

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