Question

Consider the following competing hypotheses and relevant summary statistics: (You may find it useful to reference the appropriate table: chi-square table or F table) H?: ?²?/?²? ? 1 H?: ?²?/?²? < 1 Sample 1: s²? = 1,423, and n? = 29 Sample 2: s²? = 1,593, and n? = 15 a. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic b-1. Find the p-value. p-value ? 0.10 0.05 ? p-value < 0.10 0.025 ? p-value < 0.05 0.01 ? p-value < 0.025 p-value < 0.01 b-2. At ? = 1%, what is your conclusion? Do not reject H?; we cannot say that variance 1 is lower than variance 2. Do not reject H?; we can say that variance 1 is lower than variance 2. Reject H?; we cannot say that variance 1 is lower than variance 2. Reject H?; we can say that variance 1 is lower than variance 2.

          Consider the following competing hypotheses and relevant summary statistics: (You may find it useful to reference the appropriate table: chi-square table or F table)
H?: ?²?/?²? ? 1
H?: ?²?/?²? < 1

Sample 1: s²? = 1,423, and n? = 29
Sample 2: s²? = 1,593, and n? = 15

a. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
Test statistic

b-1. Find the p-value.

p-value ? 0.10
0.05 ? p-value < 0.10
0.025 ? p-value < 0.05
0.01 ? p-value < 0.025
p-value < 0.01

b-2. At ? = 1%, what is your conclusion?
Do not reject H?; we cannot say that variance 1 is lower than variance 2.
Do not reject H?; we can say that variance 1 is lower than variance 2.
Reject H?; we cannot say that variance 1 is lower than variance 2.
Reject H?; we can say that variance 1 is lower than variance 2.

Consider the following competing hypotheses and relevant summary statistics: (You may find it useful to reference the appropriate table: chi-square table or F table)
H?: ?²?/?²? ? 1
H?: ?²?/?²? < 1

Sample 1: s²? = 1,423, and n? = 29
Sample 2: s²? = 1,593, and n? = 15

a. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
Test statistic

b-1. Find the p-value.

p-value ? 0.10
0.05 ? p-value < 0.10
0.025 ? p-value < 0.05
0.01 ? p-value < 0.025
p-value < 0.01

b-2. At ? = 1%, what is your conclusion?
Do not reject H?; we cannot say that variance 1 is lower than variance 2.
Do not reject H?; we can say that variance 1 is lower than variance 2.
Reject H?; we cannot say that variance 1 is lower than variance 2.
Reject H?; we can say that variance 1 is lower than variance 2.

Added by Thomas W.

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