Question

Consider the following hypotheses:

*H*_{0}: *σ ^{2}* = 210

Find the *p*-value based on the following sample
information, where the sample is drawn from a normally distributed
population.

**a. s^{2}= 281; n =
34**

The p-value is___________.

*p*-value 0.10- 0.05
*p*-value < 0.10 - 0.02
*p*-value < 0.05 - 0.01
*p*-value < 0.02 *p*-value < 0.01

**b. s^{2}= 139; n =
34**

The p-value is___________.

*p*-value 0.10- 0.05
*p*-value < 0.10 - 0.02
*p*-value < 0.05 - 0.01
*p*-value < 0.02 *p*-value < 0.01

**c.** Which of the above sample information
enables us to reject the null hypothesis at *α =* 0.01?

*s*^{2}*=* 281; *n =*
34

- Do not reject the null hypothesis the population variance does not differ from 210.
- Do not reject the null hypothesis the population variance differs from 210.
- Reject the null hypothesis the population variance differs from 210.
- Reject the null hypothesis the population variance does not differ from 210.

*s*^{2}*=* 139; *n =*
34

- Reject the null hypothesis the population variance differs from 210.
- Do not reject the null hypothesis the population variance differs from 210.
- Reject the null hypothesis the population variance does not differ from 210.
- Do not reject the null hypothesis the population variance does not differ from 210.

Answer #1

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Find the p-value for this test based on the following
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35
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0.02 p-value < 0.05
p-value 0.10
p-value < 0.01
0.01 p-value < 0.02
b. x¯x¯ = 76; s = 6.9; n =
35
0.01 p-value < 0.02
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or t table)
38
31
34
36
33
38
28
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(Round your answers to 2 decimal
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or t table)
26
25
23
27
27
21
24
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(Round your answers to 2 decimal
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