Christopher Columbus introduced horses, sugar plants, and disease to the New World, while facilitating the introduction of New World commodities like sugar, tobacco, chocolate, and potatoes to the Old World. The process by which commodities, people, and diseases crossed the Atlantic is known as the Columbian Exchange.

Explanation:

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3 years ago

An hourly wage is normally distributed with a mean of $6.75 and a standard deviation of $0.55. What is the probability that an e

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Answer:

Option A. 81.5%

Explanation:

Population mean, $\mu = 6.75$

Standard deviation, $\sigma = 0.55$

The question is to find $p(5.65 < \bar{x} < 7.30)$

The z value is given by the formula:

$z = \frac{\bar{x} - \mu}{\sigma}$

z - value corresponding to the mean, $\bar{x} = 5.65$ :

$z_1 = \frac{5.65 - 6.75}{0.55}\\z_1 =-2.0$

z - value corresponding to the mean, $\bar{x} = 7.30$ :

$z_1 = \frac{7.30 - 6.75}{0.55}\\z_1 =1.0$

$p(5.65\leq \bar{x} \leq 7.30) = p(-2.0 \leq z \leq 1.0)\\p(-2.0 \leq z \leq 1.0) = p(z\leq 1) - p(z\leq -2)\\ p(-2.0 \leq z \leq 1.0) = 0.84134 - 0.02275\\p(-2.0 \leq z \leq 1.0) = 0.81859 \\p(-2.0 \leq z \leq 1.0) = 0.82$

Probability that an employee’s hourly wage is between $5.65 and $7.30 = 81.5%

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3 years ago