Answer:
Step-by-step explanation:
We want to construct a 98% confidence interval for the mean height of all college students.
Number of sample, n = 450
Mean, u = 174.5 centimeters
Standard deviation, s = 6.9 centimeters
For a confidence level of 98%, the corresponding z value is 2.33. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z × standard deviation/√n
It becomes
174.5 ± 2.33 × 6.9/√450
= 174.5 ± 2.33 × 0.325
= 174.5 ± 0.757
The lower end of the confidence interval is 174.5 - 0.757 =173.743
The upper end of the confidence interval is 174.5 + 0.757 =175.257
Therefore, with 98% confidence interval, the mean height of all college students is between 173.743 centimeters and 175.257 centimeters.
