The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 7.8 cm. a. Find the probability that an individual distance is greater than 209.30 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 7.8 cm. a. Find the probability that an individual distance is greater than 209.30 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
I need the solutions for A,B and C please?
![The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation
of 7.8 cm.
a. Find the probability that an individual distance is greater than 209.30 cm.
b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e0da0a9-20ae-48e0-aaa8-15b679eac580%2F46b9ce9c-8488-4835-ad6a-97b1d2b92226%2Fcs9142_processed.png&w=3840&q=75)
Transcribed Image Text:The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation
of 7.8 cm.
a. Find the probability that an individual distance is greater than 209.30 cm.
b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm.
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Step 1: Write the given information.
VIEWStep 2: Determine the probability that an individual distance is greater than 209.30 cm.
VIEWStep 3: Determine the probability that mean of 20 randomly selected distances is greater than 197.80 cm.
VIEWStep 4: Explain why normal distribution be used in part (b).
VIEWSolution
VIEWTrending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,