A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is less than 10 with known variance . What is the critical value for the test statistic for the significance level of 0.025? Round your answer to two decimal places (e. g. 98.76).

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?