Question

A random sample of 105 observations produced a sample mean of 29. Find the critical and observed values of z for the following test of hypothesis using a 0.1. The population standard deviation is known to be 9 and the population distribution is normal. Ho: u 28 versus H 28 Round your answers to two decimal places Zcritical left Zcritical right=| Zobserved

Answer 1

The statistic software output for this problem is:

sample Z summary hypothesis test: H Mean of population Ho H 28 HA H28 Standard deviation = 9 Hypothesis test results: Mean n Sample Mean Std. Err. P-value z-Stat 105 29 0.87831007 1.1385501 0.2549

Z critical left = -1.65

Z critical right = 1.65

Z observed = 1.14

2)

One sample : Mean of population Ho H 28 HA H 28 Z summary hypothesis test: Standard deviation = 9 Hypothesis test results: Mean n Sample Mean P-value Std. Err. Z-Stat 104 29 0.88252261 1.1331154 0.1286

Z critical = 1.28

Z observed = 1.13