Can you show me how to solve this? Determine the critical values for the followi

Question

Can you show me how to solve this?

Determine the critical values for the following tests for the population mean with an unknown population standard deviation. The analysis is based on 31 observations drawn from a normally distributed population at a 5% level of significance. Use Table 2. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)

a.

H0: = 46 versus HA: > 46

  

Determine the critical values for the following tests for the population mean with an unknown population standard deviation. The analysis is based on 31 observations drawn from a normally distributed population at a 5% level of significance. Use Table 2. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)

     Critical Value

a.

H0: = 46 versus HA: > 46

  

b. H0: = 13.7 versus HA: 13.7 ±    c. H0: = 3.5 versus HA: < 3.5    d. H0: = 19 versus HA: 19 ±   

Explanation / Answer

a.
null, Ho: =46
alternate, H1: >46
level of significance, = 0.05
from standard normal table,right tailed t /2 =1.697
since our test is right-tailed
reject Ho, if to > 1.697

b.
null, Ho: =13.7
alternate, H1: !=13.7
level of significance, = 0.05
from standard normal table, two tailed t /2 =2.042
since our test is two-tailed
reject Ho, if to < -2.042 OR if to > 2.042

c.
null, Ho: =3.5
alternate, H1: <3.5
level of significance, = 0.05
from standard normal table,left tailed t /2 =1.697
since our test is left-tailed
reject Ho, if to < -1.697

d.
null, Ho: =19
alternate, H1: !=19
level of significance, = 0.05
from standard normal table, two tailed t /2 =2.042
since our test is two-tailed
reject Ho, if to < -2.042 OR if to > 2.042

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