People who diet can expect to lose an average of 3kg in a month. In a book, the authors claim that people who follow a new diet will lose an average of less than 3kg in a month. The weight losses of the 180 people in a random sample who had followed the new diet for a month were noted. The mean was 2.7 kg and the standard deviation was 2.8kg.  Test the authors’ claim at the 5% significance level, stating your null and alternative hypothese

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People who diet can expect to lose an average of 3kg in a month. In a book, the authors claim that people who follow a new diet will lose an average of less than 3kg in a month. The weight losses of the 180 people in a random sample who had followed the new diet for a month were noted. The mean was 2.7 kg and the standard deviation was 2.8kg. 

Test the authors’ claim at the 5% significance level, stating your null and alternative hypotheses.

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