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1. Last year the members of Saweni young boys club donated an average of $14.00 to the clubs charity drive with a standard deviation of

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1. Last year the members of Saweni young boys club donated an average of $14.00 to the clubs charity drive with a standard deviation of $2.35. (i) Assuming that the donations are normally distributed, construct a test at a 0.03 level of significance for the null hypothesis, Hou = $14.00, against the alternate hypothesis HA: U > $14.00. (ii) If a random sample of 12 employees showed an average donation of $15.10, what is your conclusion? 2. A vegetable farmer supplies 200 bundles of long bean to a Lautoka market every week. He claims that each bundle has an average of 20 long beans with a standard deviation of 1.45 long beans. A sample of 40 bundles is chosen and the long beans in each bundle was counted. It is found that the average number of long beans in each bundle is 18. a. Test the null hypothesis Ho: u = 20 long beans against the alternate hypothesis HA: J

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