Explain probability has Normal approximation for a sample proportion.
1) Transform the distribution of height from centimetres to inches.
A report of the National center for Health statistics says that the heights of 20-year-old men have mean 176.8 centimetres (cm) besides standard deviation 7.2 cm. There are 2.54 centimetres in an inch. What are the mean as well as standard deviation in inches?
2) Normal approximation for a sample proportion.
An example survey contacted as SRS of 663 registered voters in Oregon soon after an election and asked respondents whether they had voted. Voter records show that 56% of registered voters had actually voted. We will see in the next chapter them in this situation the proportion of sample who voted has about the normal distribution with mean m = 0.56 and standard deviation s = 0.019.
If the respondents answer honestly what is P [0.52 £ £ 0.60]? This is the likelihood that the statistic estimates the parameter 0.56 within plus or minus 0.04