An engineer working for a large agribusiness has developed two types of soil additives he calls Add1 and Add2. The engineer wants to test whether there is anydifference between the two additives in the mean yield of tomato plants grown using these additives.The engineer studies a random sample of 11 tomato plants grown using Add1 and a random sample of 13 tomato plants grown using Add2. (These samples arechosen independently.) The plants grown with Add1 have a sample mean yield of 139 tomatoes with a sample variance of 510. The plants grown with Add2 havea sample mean yield of 151.2 tomatoes with a sample variance of 2178.8.Assume that the two populations of yields are approximately normally distributed. Can the engineer conclude, at the 0.05 level of significance, that there is adifference between the population mean of the yields of tomato plants grown with Add1 and the population mean of the yields of tomato plants grown withAdd2?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis H and the alternate hypothesis H,-Ho : 0H, :0(b) Determine the type of test statistic to use.(Choose one) ▼D=0(c) Find the value of the test statistic. (Round to three or more decimal places.)OO H, :]H, :0(b) Determine the type of test statistic to use.|(Choose one)D=0OSO(c) Find the value of the test statistic. (Round to three or more decimal places.)O

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Answered: (a) State the null hypothesis H, 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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A test of the hypotheses, Ho: p s 0.24 and H1: p > 0.24 is a one-tailed test two-tailed test test of two sample means test of two sample proportions
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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…
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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…
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In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, that practice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 171 houses built in Southern California in the twentieth century and an independent, random sample of 75 new houses built in Southern California. The sample of twentieth century houses contained 76 houses with pools, and the sample of new houses contained 30 houses with pools. Based on this survey, can we conclude, at the 0.01 level of significance, that the proportion p, of all Southern California twentieth century houses that were built with pools is greater than the proportion p, of all new Southern California houses that were built with pools? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the…

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(a) State the null hypothesis H, and the alternate hypothesis H,. H, :0 H : (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O