State What the Given Confidence Interval Suggests About the Two

question 85

Multiple Choice

State what the given confidence interval suggests about the two population means.
-A researcher was interested in comparing the heights of women in two different countries. Independent simple random samples of 9 women from country A and 9 women from country B yielded the following heights (in
Inches) . $$\begin{array} { | c | c | } \hline \text { Country A } & \text { Country B } \\\hline 65.3 & 64.1 \\60.2 & 66.4 \\61.7 & 61.7 \\65.8 & 62.0 \\61.0 & 67.3 \\64.6 & 64.9 \\60.0 & 64.7 \\65.4 & 68.0 \\59.0 & 63.6 \\\hline\end{array}$$ The following 90% confidence interval was obtained for $$\mu _ { 1 } - \mu _ { 2 }$$ the difference between the mean height of
Women in country A and the mean height of women in country B. $$- 4.34 \text { in. } < \mu _ { 1 } - \mu _ { 2 } < - 0.03 \text { in }$$ What does the confidence interval suggest about the population means?

• A) The confidence interval includes 0 which suggests that the two population means might be equal. There doesn't appear to be a significant difference between the mean height of women from country A and the
• Mean height of women from country B.
• B) The confidence interval includes only negative values which suggests that the mean height of women from country A is smaller than the mean height of women from country B.
• C) The confidence interval includes only negative values which suggests that the two population means might be equal. There doesn't appear to be a significant difference between the mean height of women
• From country A and the mean height of women from country B.
• D) The confidence interval includes only negative values which suggests that the mean height of women from country A is greater than the mean height of women from country B.

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Definitions:

Sodium Ions

Positively charged atoms of sodium, crucial for maintaining fluid balance and transmitting nerve impulses in the body.

Potassium Ions

Electrolytes with a positive charge found inside and outside of cells, essential for maintaining normal cell function including nerve impulse transmission and muscle contraction.

Excitation-Contraction Coupling

Stimulation of a muscle fiber produces an action potential that results in contraction of the muscle fiber.

Troponin-Tropomyosin Complex

A regulatory protein complex in muscle cells that controls the interaction of actin and myosin, essential for muscle contraction.