Mathematics: Astudy was done to determine the average number of homes that a homeowner owns in his or her lifetime. for the 60 homeowners surveyed, the sample average was 4.2 and the sample standard deviation was 2.1. calculate the 95% confidence interval for the true average number of homes that a person owns in his or her lifetime. a) (3.90, 4.50) b) (3.66, 4.74) c) (4.01, 4.39) d) (3.67, 4.73)

Astudy was done to determine the average number

Raechelrae04

10.01.2022

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= $\frac{z*s}{\sqrt{N} }$ 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= $\frac{1.96*2.1}{\sqrt{60} }$ ≈0.53

Then the 95% confidence interval is 4.2±0.53 or (3.67, 4.73)

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chrisannedegraff

24.11.2022

123123

Step-by-step explanation:

43123

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