Consider the following hypotheses H0 330 The population is

Consider the following hypotheses:

H₀: = 330

The population is normally distributed with a population standard deviation of 72. Use Table 1.

Use a 5% level of significance to determine the critical value(s) of the test. (Round your answer to 2 decimal places.)

Use a 1% level of significance to determine the critical value(s) of the test. (Round your answer to 2 decimal places.)

Solution

a)

Formulating the null and alternative hypotheses,              
              
Ho:   u   =   330  
Ha:    u   =/   330  
              
As we can see, this is a    two   tailed test.      
              
Thus, getting the critical z, as alpha =    0.05   ,      
alpha/2 =    0.025          
zcrit =    +/-   1.959963985   [ANSWER]

********************

B-1)  
              
Getting the test statistic, as              
              
X = sample mean =    349          
uo = hypothesized mean =    330          
n = sample size =    100          
s = standard deviation =    72          
              
Thus, z = (X - uo) * sqrt(n) / s =    2.638888889 [ANSWER]

*****************************          

B-2)

As |z| > 1.96, then

OPTION D: Reject H0 since the value of the test statistic is greater than the critical value. [ANSWER, D]

*******************************************

Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!