The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.69 inches and a standard deviation of 0.03 inch. A random sample of 11 tennis balls is selected. Complete parts (a) through (d) below. b. What is the probability that the sample mean is less than 2.68 inches? P(X< 2.68) = 0.1345 (Round to four decimal places as needed.) c. What is the probability that the sample mean is between 2.67 and 2.71 inches? P(2.67

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
icon
Related questions
Topic Video
Question
100%
Please help with part d. Thanks!
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.69 inches
and a standard deviation of 0.03 inch. A random sample of 11 tennis balls is selected. Complete parts (a)
through (d) below.
b. What is the probability that the sample mean is less than 2.68 inches?
P(X< 2.68) = 0.1345
(Round to four decimal places as needed.)
c. What is the probability that the sample mean is between 2.67 and 2.71 inches?
P(2.67 <X< 2.71) = 0.9730
(Round to four decimal places as needed.)
d. The probability is 55% that the sample mean will be between what two values symmetrically
distributed around the population mean?
The lower bound is inches. The upper bound is
(Round to two decimal places as needed.)
inches.
Transcribed Image Text:The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.69 inches and a standard deviation of 0.03 inch. A random sample of 11 tennis balls is selected. Complete parts (a) through (d) below. b. What is the probability that the sample mean is less than 2.68 inches? P(X< 2.68) = 0.1345 (Round to four decimal places as needed.) c. What is the probability that the sample mean is between 2.67 and 2.71 inches? P(2.67 <X< 2.71) = 0.9730 (Round to four decimal places as needed.) d. The probability is 55% that the sample mean will be between what two values symmetrically distributed around the population mean? The lower bound is inches. The upper bound is (Round to two decimal places as needed.) inches.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,