In: Statistics and Probability
You want to estimate the mean weight of quarters in circulation. A sample of 40 quarters has a mean weight of 5.678 grams and a standard deviation of 0.063 gram. Use a single value to estimate the mean weight of all quarters. Also, find the 95% confidence interval for the average weight of all quarters
We have given that,
Sample mean =5.678 grams
Sample standard deviation = 0.063 grams
Sample size =40
Level of significance=1-0.95=0.05
Degree of freedom =39
t critical value is (by using t table)=
2.023
Confidence interval formula is
=(5.6578,5.6982)
Lower confidence limit=5.658 grams
Upper confidence limit= 5.698 grams