Consider the following hypotheses: 
H_{0}: μ = 110 
H_{A}: μ ≠ 110 
The population is normally distributed with a population standard deviation of 63. Use Table 1. 
a. 
Use a 1% level of significance to determine the critical value(s) of the test. (Round your answer to 2 decimal places.) 
Critical value(s)  ± 
b1. 
Calculate the value of the test statistic with x−x− = 133 and n = 80. (Round your answer to 2 decimal places.) 
Test statistic 
b2.  What is the conclusion at α = 0.01?  

c. 
Use a 10% level of significance to determine the critical value(s) of the test. (Round your answer to 2 decimal places.) 
Critical value(s)  ± 
d1. 
Calculate the value of the test statistic with x−x− = 98 and n = 80. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) 
Test statistic 
d2.  What is the conclusion at α = 0.10?  

a)
Critical value(s) =/+ 2.58
b1)
test statistic =3.27
b2)
Reject H_{0} since the value of the test statistic is greater than the critical value.
c)
Critical value(s) = /+ 1.64
d1)
test stat z = '(x̄μ)*√n/σ=  1.70 
d2)
Reject H_{0} since the value of the test statistic is less than the negative critical value.
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