Based on a random sample of 25 units of product X,the average weight is 102 lb and the sample standard deviation is 10 lb.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 lb.Therefore,the alternative hypothesis can be written as H_A: μ 100.(Assume the population is normally distributed. )

Question

Based on a random sample of 25 units of product X,the average weight is 102 lb and the sample standard deviation is 10 lb.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 lb.Therefore,the alternative hypothesis can be written as H_A: μ > 100.(Assume the population is normally distributed. )

Quizplus · Accepted Answer

This is a one-tailed test with the alternative hypothesis stating that the population mean is greater than 100 lb. Since we have a sample mean of 102 lb, it provides some evidence that the population mean might be greater than 100 lb. We can perform a t-test to determine if this difference is statistically significant.

Based on a Random Sample of 25 Units of Product