Instruction: Read and analyze the following situations. Determine whether the following statements have a known (or can be computed) or unknown population variance. Write your answer on the space provided. Also, identify the formula to be used for the standard error of the mean by writing of, when the population variance is known and s when the population variance is unknown. Situation Answer Standard Error Formula 1. A population has a mean of 85 and a standard deviation of 6. A random sample of 22 measurements is drawn from this population. 2. The weights of female SHS students are normally distributed with a mean of 45kg. I wenty samples consisting of 10 students are drawn from the population and found to have a mean of 46 kg and a standard deviation of 1.24kg. 231 3. A random of *=70 measurements are obtained from a population with a mean of 156 and a standard deviation of 23. A manufacturer of nylon synthetic fibers for fishing line, claims that the mean tensile strength of their product is 30 1b. of a 20 meter-line. To test the claim of the manufacturer, a sample of 25, the 20- meter line was tested and found to have a mean weight of 32 1bs and a standard deviation of .78 1b. 5. Given population mean of 200, a sample of 25 has a standard deviation of 3.1. What formula is used to determine the standard error of the mean when the population variance is unknown? 2. What necessary formula should be used to find the mean of the sampling distribution of the sample mean when the population variance is known? 3. What is the test variate used when the population variance is unknown and when the population variance is known?Answer the following questions. 1. What are the 7 step-rule in finding the mean and variance of the sampling distribution of the sample mean? 2. What are the formulas that can be used to determine the mean and variance of the sampling distribution of the sample mean for finite population (sampling without replacement and for infinite population (sampling with replacement)