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 12 tomato plants grown using Add1 and random sample of 13 tomato plants grown using Add2. (These samples arechosen independently.) When the plants are harvested, he counts their yields. These data are shown in the table.Yields (in number of tomatoes)Add1162, 168, 175, 167, 181, 180, 187, 171, 167, 191, 166, 172Add2178, 185, 185, 227, 145, 202, 218, 211, 156, 164, 173, 194, 166Send data to calculatorSend data to ExcelAssume that the two populations of yields are approximately normally distributed. Can the engineer conclude, at the 0.10 level of significance, that there is adifference between the population mean of the yields of tomato plants grown with Addi 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.HoSH :0(b) Determine the type of test statistic to use.(Choose one)D=DOSO(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the p-value. (Round to three or more decimal places.)(e) At the 0.10 level of significance, can the engineer conclude that there is adifference between the mean yield of tomato plants grown with Add1 and themean yield of tomato plants grown with Add2?OYes ONo

There are two independent samples which are Add 1 and Add 2. We have to test whether there is a…

Answered: An engineer working for a large…

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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Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on arganisms, an expert claimed that the amount of gamma radiation needed to sterilize a colany of tardigrades no longer has a mean of 1200 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A study was conducted on a sample of 21 randomly selected tardigrade colonies, finding that the amount of gamma radiation needed to sterilize a colony had a sample mean af 1225 Gy, with a sample standard deviation of 65 Gy. Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level af significance, to support the claim that H, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is nat equal to 1200 Gy. (a) State the null hypothesis and the…
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