identify The research hypothesis H1 The null hypothesis HO The rejection region of the null hypothesis H1: H1 – H2 < 0 Họ: H1 - H2 > 0 1. H;: µ1 < H2 2. Ho: H1 2 H2 3. (-00, -tin-1)] 1. H;: H1 > H2 2. Ho: H1 < H2 3. (-00, tin-1] H1: H1 - H2 > 0 Ho: H1 - H2 < 0 H1: H1 - H2 > 0 Họ: H1 – H2 < 0 1. H;: H1 > H2 2. Ho: H1 < H2 3. [tin-1) , 0) 1. H;: H1 < H2 2. Ho: H1 2 H2 3. [t(n-1) , 0) H;: H1 – H2 < 0 Họ: 41 - H2 > 0
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- A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 231 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 230,233, 235, 236, 233, 240, 240, 241, and 237. Using α = 0.025, has the shelf life of the cake mix increased? Multiple Choice Yes, because computed t is greater than the critical value. Yes, because computed t is less than the critical value. No, because computed t lies in the region of acceptance. No, because 236.11 is quite close to 231.Tests for tuberculosis like all other diagnostic tests are not perfect. QFT-G is one of such tests for tuberculosis. Suppose that for the population of adults that is taking the test, 5% have tuberculosis. The test correctly identifies 74.6% of the time adults with a tuberculosis and correctly identifies those without tuberculosis 76.53% of the time. Suppose that POS stands for the test gives a positive result and S means that the adult really has tuberculosis. Represent the "76.53%" using notation. P(S) P(SC) O P(POSC | Sº) O P(POS | C)Ministry of economic development conducted a survey to determine why people go to trade shows. The respondents were asked to rate a series of reasons on a scale from 1 to 5, with 1 representing little importance and 5 representing great importance. One of the reasons suggested was general curiosity. Responses for 50 people from the electronics industry results in a sample mean of 1.96 and 50 people from the food industry results in a sample mean of 3.02 for general curiosity. Use the data and α = 0.01 to determine whether there is a significant difference between people in these two industries on this question. Assume the variance for the electronics population is 1.0188 and the variance for the food population is 0.9180. Clearly state your null and alternate hypothesis. State the decision rule. Show the calculation of the test statistic. Give your answer to 2 decimal places where appropriate. State the statistical conclusion and explain the result in context of the question.
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