The following four questions will be based on this problem. The mean of a population is assumed to be 12.1. However data suggests the mean can be greater than 12.1. A sample of size of 50 from the population is considered. Assume a calculated sample mean of 12.2 and standard deviation of 0.2. At the 5% significance level we will determine if the null hypothesis should be rejected. Give the null and alternative hypothesis for this problem.

Write an algebraic expression to match each statement a. four less than 8 times a number b. twice the difference of a number and six c. nine from a number squared

List the sides of δrst in ascending order (shortest to longest) if: m∠r =x+28°, m∠s = 2x+16°, and m∠t = x+12

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?