2. Fill this table with the appropriate critical values from the normal (z) or Student'st(t) distributions,...

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2. Fill this table with the appropriate critical values from the normal (z) or Studentst(t) distributions, or indicate that

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Answer 1

Answer #1

1:

Since population standard deviation is unknown and distribution shape is normal so t critical value should be sued.

Degree of freedom: df=n-1=4

The critical values of t are:

t-critical = +/- 2.776

Excel function used: "=TINV(0.05,4)"

2:

Since population standard deviation is unknown and distribution shape is normal so t critical value should be sued.

Degree of freedom: df=n-1= 10-1 = 9

The critical values of t are:

t-critical = +/- 2.262

Excel function used: "=TINV(0.05,9)"

3:

The sample size is less than 30 and population standard deviation is known so neither t nor z critical values can be used.

4:

The sample size is greater than 30 and population standard deviation is known so according to CLT sampling distributio of sample mean will be approximately normal. So z critical values can be used.

The critical values of z are:

z-critical = +/- 2.576

Excel function used: "=NORMSINV(1-(1-0.99)/2)" or "=NORMSINV(0.995)"

5:

Since population standard deviation is unknown and distribution shape is normal so t critical value should be sued.

Degree of freedom: df=n-1= 92-1 = 91

The critical values of t are:

t-critical = +/- 1.662

Excel function used: "=TINV(0.10,91)"

6:

The sample size is less than 30 and population standard deviation is known so neither t nor z critical values can be used.

7:

Population standard deviation is known and it is given that population is normally distributed so z critical values can be used.

The critical values of z are:

z-critical = +/- 2.33

Excel function used: "=NORMSINV(1-(1-0.98)/2)" or "=NORMSINV(0.99)"

8:

Since population standard deviation is unknown and distribution shape is normal so t critical value should be sued.

Degree of freedom: df=n-1= 37-1 = 36

The critical values of t are:

t-critical = +/- 2.434

Excel function used: "=TINV(0.02,36)"

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Answer 2

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