SOLUTION: 7 squirrels were found to have an average weight of 9.4 ounces with a sample standard deviation is 0.9. Find the 95% confidence interval of the true mean weight.

Question 1069495: 7 squirrels were found to have an average weight of 9.4 ounces with a sample standard deviation is 0.9. Find the 95% confidence interval of the true mean weight.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
The general formula for a confidence interval around a population mean (�) is:
Xbar � Zα/2[S/√N]
Where Xbar is the mean of your sample (= 9.4)
S is the sample standard deviation (= 0.9)
N is the number of samples ( = 7)
Z(sub)α/2 is the Z-value in the standard normal table. In this case Zα/2 = 1.96. (95% confidence interval, Z-value table is usually at the end of your book)
So your 95% confidence interval is:
:
� =Xbar � Zα/2[S/√N]
� = 9.4 � 1.96[0.9/√7]
� = 9.4 � 0.0.6667
� is approximately 8.733 or 10.067
RELATED QUESTIONS
4 squirrels were found to have an average weight of 9.3 ounces with a sample standard... (answered by Boreal)

8 squirrels were found to have an average weight of 10.3 ounces with a sample standard... (answered by Boreal)

A bond analyst is analyzing the interest rates for equivalent municipal bonds issued by... (answered by ikleyn)

A random sample of 50 four-year-old’s attending day care centers provided a yearly... (answered by ikleyn)

You measure 22 backpacks' weights, and find they have a mean weight of 47 ounces. Assume... (answered by ElectricPavlov)

1. In a survey, 1,000 kids were asked if they owned a pair of tennis shoes and if they... (answered by solver91311)

What is the critical value for these? How do I work them out to get the answer? 1.... (answered by ewatrrr)

The weight of a sophisticated running shoe is normally distributed with a mean of 12... (answered by Boreal)

Updated questions with added information: A specific study found that the average... (answered by ikleyn)