In: Statistics and Probability
Sampling Distributions and Confidence Intervals- Lindsay is pregnant and is trying to measure the baby's kicks per hour and the kicks are recorded 20 times at random. The results are 7, 6, 8, 4, 8, 6, 5, 7, 3, 7, 8, 4, 5, 5, 6, 7, 6, 8, 9, and 8 kicks per hour. Construct a 99% confidence interval for the baby's mean hourly kicks.
We have for given data,
Sample mean =6.35
Sample standard deviation =1.631
Sample size =20
Level of significance=1-0.99=0.01
Degree of freedom =19
t critical value is (by using t table)=
2.861
Confidence interval formula is
=(5.307, 7.393)
Lower confidence limit= 5.307
Upper confidence limit= 7.393