Answer Happy

33. A simple random sample of 100 postal employees is used to test if the average time postal employees have worked for the postal service has changed from the value of 7.5 years recorded 20 years ago. The sample mean was = 8 years with a standard deviation of s=2 years. Assume the distribution of the time the employees have worked for the postal service is approximately Normal. The hypotheses being tested are Ho: μ = 7.5, H₁ μ‡7.5 with a one-sample t test. Suppose the same mean and standard deviation was obtained on a sample of size n = 90 postal workers rather than 100. How would the t statistic change in magnitude? μ (Hint: t = ) s/√/12 O It would be larger. O It would be smaller. O It would be unchanged, because the difference between and the hypothesized value = 7.5 is unchanged. O It would be unchanged, because the variability measured by the standard deviation stayed the same.