Question

Question 1 of 13 (1 point) Attempt 1 of Unlimited View question in a popup 8.1 Section Exercise A sample of size n=74 is drawn from a normal population whose standard deviation is o=7.2. The sample mean is x =43.56. Part 1 of 2 (a) Construct a 99.8% confidence interval for u. Round the answer to at least two decimal places. A 99.8% confidence interval for the mean is <u< . Part 2 of 2 (b) If the population were not approximately normal, would the confidence interval constructed in part (a) be valid? Explain. The confidence interval constructed in part (a) (Choose one) 7 be valid since the sample size (Choose one) large. would would not X 5

Answer 1

Part 1

We need to construct the 99.8% confidence interval for the population mean μ. The following information is provided:

Sample Mean $\bar X$ =	43.56
Population Standard Deviation (σ) =	7.2
Sample Size (N) =	74

The critical value for α=0.002 is . The corresponding confidence interval is computed as shown below:

2c = 21-a/2 = 3.09

= (40.97, 46.15) C 0 8 + og er en av – oser) = (Ex=+5** 2- x) =15

Part 2

(a) would

(b) is large

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!