Q1. The J.O. Supplies Company buys calculators from a Korean supplier. The probability of a defective calculator is 10%. If 14 calculators are selected at random, what is the probability that less than 5 of the calculators will be defective?

Q2. Based on a random sample of 25 units of product x, the average weight is 104 lbs and the sample standard deviation is 10 lbs. We would like to decide if there is enough evidence to establish that the average weight for the population of product x is greater than 100 lbs. Assume the population is normally distributed. What is the critical value (given in terms of the value of the test statistic) at

= .01? What is the calculated value of the test statistic? Construct the hypotheses according to the question and perform the test at 1% significance level.

Q3. Given the length an athlete throws a hammer is a normal random variable with mean 50 ft and standard deviation of 5 ft, what is the probability he throws it between 42 ft and 62 ft?

Q4. A sample of 8 items has an average fat content of 18.6 grams and a standard deviation of 2.4 grams. Assuming a normal distribution, construct a 99% confidence interval for .

Q5. In a survey of 1,000 people, 420 are opposed to the tax increase. Construct a 95% confidence interval for the proportion of those people opposed to the tax increase.