In: Statistics and Probability
A survey of 29 smokers showed that they smoke an average of 13 packs per week. If the data follows a normal distribution with a standard deviation of 3 packs per week, find the 99% confidence interval for the true average of packs smoked per week.
We have given that,
Sample mean =13 packs per week.
Sample standard deviation =3 packs per week.
Sample size =29
Level of significance=1-0.99=0.01
Degree of freedom =28
t critical value is (by using t table)=2.763
Confidence interval formula is
=(11.46, 14.54)
Lower confidence limit=11.46 packs per week.
Upper confidence limit=14.54 packs per week.