Question 1 p-values and their limitations. Consider a "right-sided" hypothesis test with Ho :0 = 0 vs. H₁ : 0 > 0. Suppose the test statistic, W, is observed to take the value w. That is, if0 = 00, W has a known distribution (e.g. Normal, t, chi-square, F, etc.).(a) Consider two definitions of a “p-value": (1) The probability of getting data as extremeor more extreme than what you observed, under the null hypothesis. (2) The smallestlevel of significance a for which the observed data indicate that the null hypothesis shouldbe rejected. Explain how these definitions are equivalent and mean that the p-value iscalculated as P(W > w|0 = 0). (Hint: it may help to draw the null distribution, and itdoesn't matter too much what it looks like).To ake it simpler, this is only referring to a right-tailed test/p-value.Draw a density, mark the rejection region, mark where the test statisticwill fall, indicate the p-value. See 11/18 slides.

We are given a hypothesis H0:θ=θ0 vs. Ha:θ>θ0 which is a right tailed hypothesis. Under this…

Answered: Question 1 p-values and their…

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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We want to conduct a hypothesis test of the claim that for middle-aged adults the population mean of their cholesterol levels is less than 195.7 mg a random sample of such levels. The sample has a mean of 192.7 and a standard deviation of 19 dL mg dL (a) The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. 0:= 0 O 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. O =0 O It is unclear which test statistic to use. (b) The sample has size 20, and it is from a normally distributed population with a known standard deviation of 19.1. z = 0 O o t=0 O It is unclear which test statistic to use. mg dL X We choose S
A random sample of size 8 from a normal distribution has standard deviation s= 89. Test Ho:o=41 versus H, :0<41. Use the a=0.05 level of significance. Part 1 of 5 The hypotheses are provided above. This hypothesis test is a left-tailed test. Part: 1 /5 Part 2 of 5 Find the critical value. Critical value=
You wish to test the claim that the average IQ score is less than 100 at the .01 significance level. You determine the hypotheses are: Ho: μ=100 H1:μ<100H You take a simple random sample of 79 individuals and find the mean IQ score is 98.3, with a standard deviation of 15.3. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known. Round to three decimal places where appropriate. Assume Population Standard Deviation is NOT known Assume Population Standard Deviation is 15 Test Statistic: t = Test Statistic: z = Critical Value: t = Critical Value: z = p-value: p-value: Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Claim: There is sufficient evidence to support the claim that the average IQ score is less…
A sample of 12 concrete specimens from supplier A were tested for their compressive strength. The results gave an average of 85 MPa and a standard deviation of 4 MPa. From supplier B, 10 specimens were similarly tested and gave an average compressive strength of 81 MPa and a standard deviation of 5 MPa. (a) Using procedures of Hypothesis Testing, can we conclude at the 0.05 level of significance that the compressive strength of concrete from A exceeds that from B by more than 2 MPa? Assume the populations to be approximately normal with equal variances. (b) Is the assumption of equal variances in (a) justifiable at an a = 0.10?
Question 2 A population has parameters u = 36.1 and o = 49.7. You intend to draw a random sample of size n = 163. What is the mean of the distribution of sample means? What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) Question Help: DVideo MMessage instructor DPost to forum Submit Question e Type here to search f2 esc ? 米 f6 144 IOI f8 $ 4. 1 3. 9. tab E R Y caps lock AL D 7. LL %24 CO
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You wish to test the claim that the average IQ score is less than 100 at the .10 significance level. You determine the hypotheses are: Ho: μ=100Ho: μ=100 H1:μ<100H1:μ<100 You take a simple random sample of 73 individuals and find the mean IQ score is 95.2, with a standard deviation of 15.1. Let's consider testing this hypothesis two ways: once with assuming the population standard deviation is not known and once with assuming that it is known. Round to three decimal places where appropriate. Assume Population Standard Deviation is NOT known Assume Population Standard Deviation is 15 Test Statistic: t = Test Statistic: z = Critical Value: t = Critical Value: z = p-value: p-value: Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Null: Reject the null hypothesis Fail to reject the null hypothesis Conclusion About the Claim: There is sufficient evidence to support the claim that the average IQ…
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What is the name of this hypothesis test? Do male and female servers at Applebee's work the same number of hours? A random sample of 45 female servers worked an average of 36 hours per week, with a standard deviation of 2. A random sample of 62 male servers worked an average of 29.5 hours per week, with a standard deviation of 4. O Chi-Square Test for Independence O One Sample z Test OTwo Proportion z Test Z. OLinear Regression t Test O Chi-Square Goodness of Fit Test O Paired Samples t Test OTwo Independent Samples t Test O One Sample t Test O One Proportion z Test OANOVA
You wish to test the following claim (Ha) at a significance level of a = 0.02. Ho:μι ≥ με Ha:μι < με You believe both populations are normally distributed, but you do not know the standard deviations for either. You obtain a sample of size ni You obtain a sample of size n₂ = = 12 with a mean of M₁ 13 with a mean of M2 test statistic = p-value = = - 10.6. 53 and a standard deviation of SD1 59.5 and a standard deviation of SD₂ = 9.7. [three decimal accuracy] [three decimal accuracy] =
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