Please give me a step by step explanation of how to solve this question WILL MARK AS BRAINLIEST!

2261

When confidence level increases, margin of error increases thus making confidence interval wider.

Step-by-step explanation:

Given that a simple random sample with n=54 provided a sample mean of 22.5 and a sample standard deviation of 4.4.

Since n >30 but population std deviation is not known we can use only t critical value.

a) t critical = 2.006

Hence 90% confidence interval = Mean ±

=

b) t critical = 2.30687 = 2.31

Hence 90% confidence interval = Mean ±

=

c) t critical = 2.30687 = 2.31

Hence 90% confidence interval = Mean ±

=

d) When confidence level increases, margin of error increases thus making confidence interval wider.