Determine the critical values for the following tests for the population mean wi

Question

Determine the critical values for the following tests for the population mean with an unknown population standard deviation. The analysis is based on 28 observations drawn from a normally distributed population at a 1% level of significance. Use Table 2. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)

a.

H0: 54 versus HA: > 54

     Critical Value

a.

H0: 54 versus HA: > 54

b. H0: = 11.9 versus HA: 11.9 ± c. H0: 3.7 versus HA: < 3.7 d. H0: = 14 versus HA: 14 ±

Explanation / Answer

Since population standard deviation is unknown so t critical value will be used.

Degree of freedom: df=n-1=27

(a)

Here test is right tailed so critical value is 2.473.

Excel function used: "=TINV(0.02,27)".

Here 0.02 is used because excel function by default return two tailed critical value.

(b)

Here test is two tailed so critical value is +/- 2.771.

Excel function used: "=TINV(0.01,27)".

(c)

Here test is left tailed so critical value is -2.473.

Excel function used: "=TINV(0.02,27)".

Here 0.02 is used because excel function by default return two tailed critical value.

(d)

Here test is two tailed so critical value is +/- 2.771.

Excel function used: "=TINV(0.01,27)".

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