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Answer:
D) (3.67, 4.73)
Step-by-step explanation:
Confidence Interval for the true average number of homes that a person owns in his or her lifetimecan be calculated using M±ME where
- M is the average number of home owned (4.2)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated as
ME= where
- z is the corresponding statistic in the given confidence level(1.96)
- s is the standard deviation of the sample(2.1)
- N is the sample size (60)
Putting the numbers we get ME=≈0.53
Then the 95% confidence interval is 4.2±0.53 or (3.67, 4.73)
We are given a system of equations,
This will translate into a 2x2 matrix of coefficients (because 2 equations and 2 unknowns),
The matrix will then be applied to the vector (lower dimensions on top),
And the result vector will be whats on the other side of equals sign,
So to put everything together,
Hope this helps :)