For Questions1 - 3: In a simple random sample of 300 college students, 40.0 per cent stated that they intended to pursue an advanced degree.

1. How many of the 300 college students sampled intend to pursue an advanced degree?

2. To the 95 per cent confidence level, find the confidence intervalestimate of all college students who intend to pursue an advanced degree. Can we safely assume that less than 45.0% of all college students intend to pursue an advanced degree?

3. If we wanted to reduce the margin of error to 3.5 per cent, how big would our sample size have to be (again to the 95 per cent confidence level)?

4. In a study of vehicle speeds on a certain section of highway, a simple random sample of 41 cars resulted in a mean of 57.5 mph with a standard deviation of 5.0 mph. Construct a 99 per cent confidence interval estimate of the mean speed (to nearest 0.1 mph) of all vehicles on that section of highway. [Note: Table A-3 might be helpful since the population standard deviation is unknown.]

5. Find the sample size required to estimate the mean IQ of all college students. Assume we want a 90 per cent confidence level that the sample mean is within 2 IQ points of the true population mean. Also assume that the population standard deviation is 15 IQ points.

6. If an original claim for some aspect of a population is = 5.00, the test statistic is t= +1.80, and the critical values are CV = -1.69, +1.69, would you rejector fail to rejectthe null hypothesis? (Pick one and justify your answer.)