Question

1. We believe that 85% of the population of all Business Statistics students consider statistics to be an exciting subject. Suppose we randomly and independently selected 40 students from the population. If the true percentage is really 85%, find the probability of observing 39 or more students who consider statistics to be an exciting subject. Round to six decimal places.

		0.001502
		0.012107
		0.987893
		0.010604

2.

A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 50 seconds. Between what times do we expect approximately 95% of the boys to run the mile?

		between 362 and 558 seconds
		between 0 and 542.28 seconds
		between 377.75 and 542.28 seconds
		between 365 and 555 seconds

3.

A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 5 milliliters (ml) and a standard deviation of 0.4 ml. Answer the following questions based on this information. What proportion of the paint cans contain less than 5.54 ml of the dye?

		0.9885
		0.5885
		0.9115
		0.0885

Answer 1