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.
Question 3
a) 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.
b) From a sample of 200 bread rolls from Ideal bakery, 95 of the were wheat. The manager of the bakery claims that 49% of their rolls are wheat.
i. Test at the 1% significance level to determine whether the true proportion is less than 49%.
ii. Create a 99% confidence interval for the proportion of all wheat bread rolls produced from Ideal bakery.
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