Summary Statistics Are Given for Independent Simple Random Samples from Two

question 54

Multiple Choice

Summary statistics are given for independent simple random samples from two populations. Use the nonpooled t-test toconduct the required hypothesis test.
- $$\bar { x } _ { 1 } = 74.0 , \mathrm {~s} _ { 1 } = 4.5 , \mathrm { n } _ { 1 } = 11 , \overline { \mathrm { x } } _ { 2 } = 64.0 , \mathrm {~s} _ { 2 } = 5.1 , \mathrm { n } _ { 2 } = 9$$
Perform a two-tailed hypothesis test using a significance level of $\alpha = 0.01$ .

• A)Test statistic: \(t = 4.598\)
• B) Test statistic: \(t = 2.646\)
• Critical values \(= \pm 2.878\)
• Critical values \(= \pm 2.921\)
• Reject \(\mathrm { H } _ { 0 }\)
• Do not reject \(\mathrm { H } _ { 0 }\)
• C) Test statistic: \(t = 2.646\)
• D) Test statistic: \(t = 4.598\)
• Critical values \(= \pm 2.878\)
• Critical values \(= \pm 2.921\)
• Do not reject \(\mathrm { H } _ { 0 }\)
• Reject \(\mathrm { H } _ { 0 }\)

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Definitions:

Association Cells

Neurons located in the brain's cortex that connect sensory and motor areas, and are involved in the integration of sensory inputs and cognitive processes.

Interneurons

Neurons that transmit signals between sensory neurons and motor neurons, playing a critical role in the reflexes and central nervous system.

Glial Cells

Non-neuronal cells in the central nervous system and peripheral nervous system that do not produce electrical impulses but support, nourish, and protect the neurons.

Dendrites

Dendrites are extensions of neurons that receive signals from other neurons and are crucial for neural communication and processing.