What hypothesis testing procedure should you use to answer these questions? Assume all samples are simple random samples, and assume α = 0.05 if it isn’t specified.
A random sample of size 21 was taken from a normal population. The sample average was 9.87 and the population SD is known to be 1.17. Assuming α = 0.05, What test should you use for testing whether the population mean equals 9.7?
Question 23 options:
One sample z-test for the population mean.
Two sample z-test for the population means.
One sample z-test for proportions.
Two sample z-test for proportions.
One sample t-test for the population mean.
None of our hypothesis tests fit.
The correct answer is One sample z-test for the population mean.
In this scenario, we have a random sample from a normal population and the population standard deviation is known. Since we are testing whether the population mean equals a specific value (9.7), this fits the criteria for a one sample z-test for the population mean.