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The following data represent quantities of tea leaf pluckings (tender shoots from tea plants) from sixteen different plots of tea bushes intended for experimental use

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The following data represent quantities of tea leaf pluckings (tender shoots from tea plants) from sixteen different plots of tea bushes intended for experimental use in Ceylon, a type of tea from Sri Lanka. The tea bushes are randomly divided into four different treatment groups. Each treatment group contains four tea bushes. The number of tea leaf pluckings for each tea bush is given below in Table 1. Table 1. Tea leaf pluckings of 16 tea bushes who received one of the four treatments. Treatment 1 Treatment 2 Treatment 3 Treatment 4 88 102 91 88 94 110 109 118 109 105 115 94 88 102 91 96 Experimenters wish to determine if the mean number of pluckings differs among the four treatments. Test this question at the 5% significance level. Assume that these samples are drawn from normal populations with equal variances. State the appropriate null and alternative hypotheses. O Ho: ul = 12 = 13 = 14; Ha : At least one population mean is greater than the others. O Ho: ul = 12 = 13 = 14; Ha : At least one population mean is less than the others. O Ho: /1 = 12 = M3 = 14; Ha : Exactly one population mean is different than the others. O Ho: ul = 12 = M3 = 14; Ha : At least one population mean is different than the others

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