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Using the t-distribution, it is found that the 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.
<h3>What is a t-distribution confidence interval?</h3>The confidence interval is:
In which:
is the sample mean.
- t is the critical value.
- n is the sample size.
- s is the standard deviation for the sample.
The critical value, using a t-distribution calculator, for a two-tailed <u>90% confidence interval</u>, with 225 - 1 = 224 df, is t = 1.6517.
The other parameters are given as follows:
.
Hence the bounds of the interval are given by:
The 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.
More can be learned about the t-distribution at brainly.com/question/16162795
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