(a) Draw a normal curve with the parameters labeled. Choose the correct graph below. O A. A 4000 3500 4500 A 3000 2500 3500 Q x O B. Q 2500 3000 3500 (b) Shade the region that represents the proportion of full-term babies who weigh more than 4500 grams. Choose the correct graph below. O A. O C. O B. Q Q Q Q O C. A 3000 3500 4000 4500 A A 3500 3000 3500 4000 2500 4500 2500 grams. -‒‒‒‒‒‒‒ grams. 3500 4500 Q Q Q O D. x G O D. (c) Suppose the area under the normal curve to the right of X= 4500 is 0.0228. Provide an interpretation of this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) O A. A. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than OB. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is less than A 4000 3500 4500 Q x Q

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**Educational Content on Normal Distribution of Birth Weights**

Suppose the birth weights of full-term babies are normally distributed with a mean of 3500 grams and a standard deviation (σ) of 500 grams. Complete parts (a) through (c) below.

---

**(a) Draw a normal curve with the parameters labeled. Choose the correct graph below.**

Options:
1. **A.** Mean = 3500, ends at 4500
2. **B.** Mean = 2500, ends at 3500
3. **C.** Mean = 3000, ends at 4000
4. **D.** Mean = 2500, ends at 4500

The correct graph depicts a normal curve centered at 3500 grams and extending to 4500 grams on the horizontal axis, representing the mean.

---

**(b) Shade the region that represents the proportion of full-term babies who weigh more than 4500 grams. Choose the correct graph below.**

Options:
1. **A.** Shaded region between 2500 and 3500
2. **B.** Shaded region between 3000 and 3500
3. **C.** Shaded region from 3500 to 4500
4. **D.** Shaded region beyond 4500

The correct graph shows the shaded region beyond 4500 grams, representing babies weighing more than this amount.

---

**(c) Suppose the area under the normal curve to the right of X = 4500 is 0.0228. Provide an interpretation of this result. Select the correct choice below and fill in the answer box to complete your choice.**

Options:
1. **A.** The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than ___ grams.
2. **B.** The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is less than ___ grams.

For option A, the blank should be filled in with 4500. The correct interpretation is that 0.0228 is the probability that a randomly chosen full-term baby weighs more than 4500 grams.

---

This content provides an understanding of how normal distribution applies to real-life biological data, such as birth weights, and helps in interpreting statistical probabilities.
Transcribed Image Text:**Educational Content on Normal Distribution of Birth Weights** Suppose the birth weights of full-term babies are normally distributed with a mean of 3500 grams and a standard deviation (σ) of 500 grams. Complete parts (a) through (c) below. --- **(a) Draw a normal curve with the parameters labeled. Choose the correct graph below.** Options: 1. **A.** Mean = 3500, ends at 4500 2. **B.** Mean = 2500, ends at 3500 3. **C.** Mean = 3000, ends at 4000 4. **D.** Mean = 2500, ends at 4500 The correct graph depicts a normal curve centered at 3500 grams and extending to 4500 grams on the horizontal axis, representing the mean. --- **(b) Shade the region that represents the proportion of full-term babies who weigh more than 4500 grams. Choose the correct graph below.** Options: 1. **A.** Shaded region between 2500 and 3500 2. **B.** Shaded region between 3000 and 3500 3. **C.** Shaded region from 3500 to 4500 4. **D.** Shaded region beyond 4500 The correct graph shows the shaded region beyond 4500 grams, representing babies weighing more than this amount. --- **(c) Suppose the area under the normal curve to the right of X = 4500 is 0.0228. Provide an interpretation of this result. Select the correct choice below and fill in the answer box to complete your choice.** Options: 1. **A.** The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is more than ___ grams. 2. **B.** The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is less than ___ grams. For option A, the blank should be filled in with 4500. The correct interpretation is that 0.0228 is the probability that a randomly chosen full-term baby weighs more than 4500 grams. --- This content provides an understanding of how normal distribution applies to real-life biological data, such as birth weights, and helps in interpreting statistical probabilities.
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