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...

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Statistics

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)  for the mean amount of fluid.

c)  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


6   15.7
7   15.4
8   14.5
9   15.5

Answer & Explanation Solved by verified expert
4.3 Ratings (837 Votes)
R code volc155166155161144157154145155 n9 testttestvolmu16 test ci94ttestvolmu16conflevel 094 ci94 alpha001 Shift of size 1 sd so denominator 1 minsamplesizeqt105alphan12varvol minsamplesize OUTPUT    See Answer
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