You obtain a dataset from a random sample. • You double-checked your dataset, and there were no typos, and no errors. • All cond
itions were met to develop a confidence interval. • You develop a 97% confidence interval for the population mean µ, and your confidence interval is 74.3 < µ < 78.3. • You double-checked your calculations, and everything was done correctly. Question: Later, you find out that the actual population mean is µ = 71. Why doesn’t your confidence interval contain the actual population mean?
Interval is given with 97% confidence. Thus there is 3% probability that interval is not true.
Step-by-step explanation:
In Statistics, estimated intervals are given with some confidence level. In this example person develop the interval with 97% confidence.
<em>Statistically</em>, this means that the person can be 97% sure (not 100%) that population mean is 74.3 < µ < 78.3. There is still 3% probability that population mean falls outside of the interval.
24.5%<span> of the vehicles that passed that intersection are busses.</span> <span>-I took 98/400 and got 0.245. To change a decimal to a percent, you multiply it by 100, so 0.245*100= 24.5%</span>
