Questions: Baby weights: The weight of male babies less than 2 months old in the United States is normally distributed with mean 12.5 pounds and standard deviation 5.1 pounds. Use the TI-83 Plus/TI-84 Plus calculator to answer the following. Round the answers to four decimal places. Part 1 of 4 eBook (a) What proportion of babies weigh more than 14 pounds? The proportion of babies weighing more than 14 pounds is 0.384

Baby weights: The weight of male babies less than 2 months old in the United States is normally distributed with mean 12.5 pounds and standard deviation 5.1 pounds. Use the TI-83 Plus/TI-84 Plus calculator to answer the following. Round the answers to four decimal places. Part 1 of 4 eBook (a) What proportion of babies weigh more than 14 pounds? The proportion of babies weighing more than 14 pounds is 0.384
Transcript text: Baby weights: The weight of male babies less than 2 months old in the United States is normally distributed with mean 12.5 pounds and standard deviation 5.1 pounds. Use the TI-83 Plus/TI-84 Plus calculator to answer the following. Round the answers to four decimal places. Part 1 of 4 eBook (a) What proportion of babies weigh more than 14 pounds? The proportion of babies weighing more than 14 pounds is 0.384
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Solution

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Solution Steps

Step 1: Calculate the Z-score

Z-score for the value of interest (14 pounds): \(Z = \frac{14 - 12.5}{5.1} = 0.294\)

Step 2: Determine if the value is unusual

The proportion of the distribution above 14 pounds is 0.384, which is not unusual based on the threshold of 0.05.

Final Answer:

The value of 14 pounds is not unusual, with a proportion of 0.384 of the distribution lying above this value.

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