Two independent samples have been selected, 91 observations from population 1 and 57 observations from population 2. The sample means have been calculated to be ₁ = 8.8 and ₂ = 13.4. From previous experience with these populations, it isknown that the variances are o = 28 and o2 = 34.(a) Determine the rejection region for the test ofusing a = 0.02.(b) Compute the test statistic.The final conclusion isO A. We can reject Ho-OB. There is not sufficient evidence to reject Ho.(c) Construct a 98 % confidence interval for (₁-₂).< (μ1 −μ₂) <Ho (1H₂) = 2.84H₁ (₁₂) > 2.84

Let there be two independent populations.Given that,Sample size for population 1 Sample size for…

Answered: (a) Determine the rejection region for…

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, µ, that is equal to 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 H, and the alternative hypothesis H, as follows. Ho: µ=9 H: µ±9 Suppose you also know the following information. The critical values are -1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is -1.225 (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. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03- Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) (b) Based on your answer to part (a), choose the correct statement. O The value of the test statistic lies…
Suppose that we wish to test whether the population mean is greater than 80, where the population standard deviation is known to equal 20. Also, suppose that a random sample of 100 observations randomly selected has a mean equal to 84. Formulate the null and alterative hypotheses. Compute the p-value. Using α =0.01, what is your conclusion? Apply the critical value method when a = 0.1.
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A sample of n=38n=38 data values randomly collected from a normally distributed population has standard deviation s=3s=3. We wish to test the null hypothesis H0:σ=3.7H0:σ=3.7 against the alternative hypothesis H1:σ<3.7H1:σ<3.7 at a significance of α=0.10α=0.10. What is the value of the test statistic? Write your answer rounded to 3 decimal places
Give a 98% confidence interval, for μ1−μ2 given the following information. n1=45 xbar1=2.62, s1=0.8n2=60n xbar = 3.02, s2=0.67 ____ ±± ____ Use Technology Rounded to 2 decimal places.
find the p-value for the hypothesis test with the standard test statistic z. decide whether to reject H0 for the level of significanceα 14. Left-tailed test (z=-1.55, α=0.05) 16. Right-tailed test (z=1.23, α=0.10) 18. Two-tailed test (z=1.95, α=0.08)
Just question 3 fill in the blank
A sample of n=17n=17 data values randomly collected from a normally distributed population has standard deviation s=3s=3. We wish to test the null hypothesis H0:σ=2.3H0:σ=2.3 against the alternative hypothesis H1:σ>2.3H1:σ>2.3 at a significance of α=0.05α=0.05. What is the value of the test statistic? Write your answer rounded to 3 decimal places. What is the critical value? Write your answer rounded to 3 decimal places. Do we reject the null hypothesis? We reject the null hypothesis. We fail to reject the null hypothesis.
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You may need to use the appropriate appendix table or technology to answer this question. Given are five observations for two variables, x and y. (Round your answers to two decimal places.) xi 1 2 3 4 5 yi 4 6 6 11 14 (a) Use sŷ* = s 1 n + (x* − x)2 Σ(xi − x)2 to estimate the standard deviation of ŷ* when x = 4. (b) Use ŷ* ± tα/2sŷ* to develop a 95% confidence interval for the expected value of y when x = 4. to (c) Use spred = s 1 + 1 n + (x* − x)2 Σ(xi − x)2 to estimate the standard deviation of an individual value of y when x = 4. (d) Use ŷ* ± tα/2spred to develop a 95% prediction interval for y when x = 4. to
9.) A researcher is testing the reliability of a new method of growing culinary herbs. It is know that the average time to germination (for the plant to sprout from the seed) for basil grown with the traditional method is μ=7.0μ=7.0 days with a standard deviation of σ=1.8σ=1.8 days. The researcher tests the new method on 36 plants to see if there is any difference between the two methods in the time to germination for basil plants and finds that the average time germination with the new method is x¯¯¯=8.0x days. What is the alternate hypothesis that the researcher is testing?

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(a) Determine the rejection region for the test of using a =0.02. (b) Compute the test statistic. The final conclusion is A. We can reject Ho. B. There is not sufficient evidence to reject Ho. (c) Construct a 98% confidence interval for (1-₂). ·lu Ho (12) 2.84 H₁ (₁2) 2.84 :