A random sample of 114 observations produced a sample mean of 30. Find the critical and observed values of z for the following test of hypothesis using The population standard deviation is known to be 5 and the population distribution is normal.

Complete Question

A random sample of 114 observations produced a sample mean of 30. Find the critical and observed values of z for the following test of hypothesis using α=0.01. The population standard deviation is known to be 5 and the population distribution is normal.

 versus H1: μ>28.

Round your answers to two decimal places.

The observed value  is  

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  114

   The sample mean  is  

   The  significance level is  

   The population standard deviation is  

The null hypothesis is    

 The alternative hypothesis is   H1: μ>28.

 Generally the test statistics (observed value ) is mathematically represented as

=>    

=>    

From the normal distribution table the critical value  of   is  

i believe the correct answer is b.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.