MULTIPLE CHOICES 1. Which among the following is TRUE about the normal distribution? A. The mean, median, and mode are all equal. B. It approaches the y-axis asymptotically on both sides. C. Its highest point is directly above the curve. D. The bell curve is only narrow in shape.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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I. MULTIPLE CHOICES

1. Which among the following is TRUE about the normal distribution?

A. The mean, median, and mode are all equal.

B. It approaches the y-axis asymptotically on both sides.

C. Its highest point is directly above the curve.

D. The bell curve is only narrow in shape. 

2. What is the corresponding area under the standard normal curve if the z-score is 0.70?

A. 0.0279 B. 0.2850 C. 0.0297 D. 0.2580

3. What is the conversion of 54 to its z-score, if the population mean is 58 and the standard deviation is 1.32?

A. -3.30 B. -3.03 C. 3.03 D. 3.30

4. What is the corresponding raw score if the computed z-score is 3.11, mean is 35 and the standard deviation is 2.25?

A. 41 B. 42 C. 43 D. 44

5. What is the corresponding area under the standard normal curve if the z-score is 3.07? 

A. 0.4899 B. 0.4989 C. 0.4998 D. 0.4999 

6-10. The mean number of sports drinks consumed per day in Saint Louis College is 1240 bottles with a standard deviation of 30. What is the probability that the following number of bottles is consumed in a day?

__6. What is the probability that more than 1,220 bottles are consumed in a day?

 A. 74.66% B. 74.68% C. 74.86% D. 74.88% 

7. What is the probability that more than 1,280 bottles are consumed in a day?

A. 8.19% B. 9.18% C. 8.91% D. 9.81%

8. What is the probability that between 1,210 to 1,290 bottles are consumed in a day?

A. 79.33% B. 79.38% C. 79.83% D. 79.88%

________9. What is the probability that more than 1,270 bottles are consumed in a day?

 A. 15.78% B. 15.87% C. 17.58% D. 17.85%

________10. What is the probability that between 1,240 and 1,300 bottles are consumed in a day?

A. 42.27% B. 42.77% C. 47.27% D. 47.72% 

Entailment: The normal distribution is the most important probability distribution in statistics because it fits many natural phenomena. For example, the heights, weights, measurement error, IQ scores and blood pressure. Many people, especially the old ones tend to set aside small things that later on have a great impact in their life especially in their health, just like their blood sugar and blood pressure. As an individual, how can you help your body in maintaining or in being physically fit? How can you make yourself be emotionally, spiritually, physically and mentally healthy especially this time of the pandemic?


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