Data:
sample  volume
1 15.5
2 16.6
3 15.5
4 16.1
5 14.4
A bottling company claims that the mean amount of fluid in itsbeverage bottles is 16 oz. It's known that the amount of fluid isnormally distributed. The amount of fluid of a sample of 9 ninebottles is shown above:
a) Test the company's claim at a .05 level of significance Whatis the value of the statistic?
b) Calculate a 94% Lower Confidence bound(1-sided)Â Â for the mean amount of fluid.
c)Â Â What minimum sample size is needed to detect ashift equal to 1 standard deviation, if the required power is .99and the level of significance is .01
Assume we want a two-sided test.
Solve using R studio, must include code
6Â Â 15.7
7Â Â 15.4
8Â Â 14.5
9Â Â 15.5