Construct a Confidence Interval For $\mu _ { \mathrm { d } }$

question 56

Multiple Choice

Construct a confidence interval for $\mu _ { \mathrm { d } }$ , the mean of the differences d for the population of paired data. Assume that the
population of paired differences is normally distributed.
-When performing a hypothesis test for the ratio of two population variances, the upper critical F value is denoted $\mathrm { F } _ { \mathrm { R } }$ . The lower critical $\mathrm { F }$ value, $\mathrm { F } _ { \mathrm { L } }$ , can be found as follows: interchange the degrees of freedom, and then take the reciprocal of the resulting $\mathrm { F }$ value found in table $\mathrm { A } - 5$ . $\mathrm { F } _ { \mathrm { R } }$ can be denoted $\mathrm { F } _ { \alpha / 2 }$ and $\mathrm { F } _ { \mathrm { L } }$ can be denoted $\mathrm { F } _ { 1 } - \alpha / 2$ .
Find the critical values $\mathrm { F } _ { \mathrm { L } }$ and $\mathrm { F } _ { \mathrm { R } }$ for a two-tailed hypothesis test based on the following values: $\mathrm { n } _ { 1 } = 25 , \mathrm { n } _ { 2 } = 16 , \alpha = 0.10$

• A) \(0.4745,2.2878\)
• B) \(0.7351,2.2378\)
• C) \(0.5327,2.2878\)
• D) \(0.4745,2.4371\)

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Definitions:

Metaphase

A stage of cell division where chromosomes align themselves at the equator of the cell before being separated into each of the two daughter cells.

Telophase

The final phase of cell division, where the chromosomes move to opposite ends of the cell and two nuclei are formed.

Prophase

The first stage of cell division in both mitosis and meiosis where chromosomes condense and the nuclear envelope breaks down.

Nucleolus

A small dense region within the nucleus of a cell, involved in the production and assembly of ribosomes.