- The heights of females from a country are normally distributed with
- a mean of 166.5 cm
- a standard deviation of 6.1 cm
Given that \(1 \%\) of females from this country are shorter than \(k \mathrm {~cm}\),
- find the value of \(k\)
- Find the proportion of females from this country with heights between 150 cm and 175 cm
A female, from this country, is chosen at random from those with heights between 150 cm and 175 cm
- Find the probability that her height is more than 160 cm
The heights of females from a different country are normally distributed with a standard deviation of 7.4 cm
Mia believes that the mean height of females from this country is less than 166.5 cm
Mia takes a random sample of 50 females from this country and finds the mean of her sample is 164.6 cm - Carry out a suitable test to assess Mia’s belief.
You should
- state your hypotheses clearly
- use a \(5 \%\) level of significance
\section*{Question 5 continued.}
\section*{Question 5 continued.}
\section*{Question 5 continued.}