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  

4x and 6y

im not sure though

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.