4 A manufacturer of women's clothing wants to know the mean height of the women in a town (in order to plan what proportion of garments should be of each size). She knows that the standard deviation of their heights is 5 cm. She selects a random sample of 50 women from the town and finds their mean height to be 165.2 cm. (i) Use the available information to estimate the proportion of women in the town who were (a) over 170 cm tall (b) less than 155 cm tall. (ii) Construct a 95% confidence interval for the mean height of women in the town. (iii) Another manufacturer in the same town wants to know the mean height of women in the town to within 0.5 cm with 95% confidence. What is the minimum sample size that would ensure this?

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.