Getting better - but still need to check my answers!!

Hi guys!!:

I am getting better at Stat - i still hate it though! I had a whole bunch of q's to do today and i did every single one of them! I was hoping that some1 could please help me check and make sure that my answers are correct! for ease of understanding I put the answers that i got in **BOLD** and a different color!

1. Of 139 adults selected randomly from one town, 30 of them smoke.

The main concern I have on this question is we take (30/139) = .215 or 21.5% ... now do we keep that as is or do we round it off to 22% ?

a. Construct a 99% confidence interval for the true percentage of all adults in the town that smoke. **12.6%<p<30.4%**

b. Construct a 95% confidence interval for the true percentage of all adults in the town that smoke. **14.7%<p<28.3%**

2. The speeds (in mph) of the cars passing a certain checkpoint are measured by radar. The results for a random sample are shown below.

44.4 41.8 42.9 40.7 43.5 40.1 44.6 41.9

44.4 42.0 43.5 41.9 40.7 43.5 41.8

a. Find x-bar and s for this data set. **x-bar = 42.513 s = 1.439**

b. Construct a 90 percent confidence interval for the mean speed of cars passing this checkpoint. You may assume the speeds are normally distributed. **41.9<-->43.1241**

3.A random sample of the duration of 50 telephone calls handled by a local telephone company had a mean of 11.6 min and a standard deviation of 3.8 minutes. Find a 95% confidence interval for the true mean duration of calls handled by the company. **[10-55 - 12.65]**

4. A parcel service selected a random sample of 17 packages in order to estimate the mean weight of all packages received by the service. The sample had a mean weight of 15.3 pounds and a standard deviation of 1.9 pounds. Find the 95% confidence interval for the true mean weight of all packages received by the parcel service. You may assume package weights are normally distributed. **[6.27 - 24.33]** --> this range seemed to high to me! any ideas or thoughts?

Thanks for all your help in advance and hope that these answers are right!

Thanks all