Question

The yield from silver queen was compared to the yield of country gentlemen. Note: Differences were taken by taking Silver Queen - Country Gentlemen The 95% confidence interval for the mean is (-0.223, 0.988). What is the correct interpretation of this interval?

Answer 1

`-0.223 \leq \mu_(sylver) -\mu_(Country) \leq 0.988`

We can conclude that the difference between the two means are between -0.223 and 0.988.

And for this case the confidence interval contains the value of 0 so then we have enough evidence to conclude that we don't have significant difference between the means of Silver Queen and the Country Gentlemen.

Explanation:

For this case we have the following interval for the difference between Silver Queen - Country Gentlemen:

`-0.223 \leq \mu_(sylver) -\mu_(Country) \leq 0.988`

We can conclude that the difference between the two means are between -0.223 and 0.988.

And for this case the confidence interval contains the value of 0 so then we have enough evidence to conclude that we don't have significant difference between the means of Silver Queen and the Country Gentlemen.