A number less than 35 verbal expression
1 answer:
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The confidence interval goes from 235.18 to 269.72.
We first find the z-score associated with this confidence level:
1-0.95 = 0.05/2 = 0.025
Using a z-table (http://www.normaltable.com/ztable-righttailed.html) we see that the z-score associated with this is 1.96.
The formula for the confidence interval is:
,
where x is the sample mean, s is the sample standard deviation and n is the sample size. With our data, we have:
252.45-17.2725 = 235.1775 ≈ 235.18
252.45+17.2725 = 269.7225 ≈ 269.72
We first find the z-score associated with this confidence level:
1-0.95 = 0.05/2 = 0.025
Using a z-table (http://www.normaltable.com/ztable-righttailed.html) we see that the z-score associated with this is 1.96.
The formula for the confidence interval is:
where x is the sample mean, s is the sample standard deviation and n is the sample size. With our data, we have:
252.45-17.2725 = 235.1775 ≈ 235.18
252.45+17.2725 = 269.7225 ≈ 269.72