A sample of 15 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The me weight was 2 ounces with a standard deviation of 0.12 ounces. The population standard deviation known to be 0.1 ounce. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) (i) x= (ii) o= (ii) s, = (iv) n=| (v) n-1= O Part (b) O Part (c) O Part (d)
A sample of 15 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The me weight was 2 ounces with a standard deviation of 0.12 ounces. The population standard deviation known to be 0.1 ounce. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) (i) x= (ii) o= (ii) s, = (iv) n=| (v) n-1= O Part (b) O Part (c) O Part (d)
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
100%
Transcribed Image Text:A sample of 15 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean
weight was 2 ounces with a standard deviation of 0.12 ounces. The population standard deviation is known to be 0.1 ounce.
NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
O Part (a)
(i) x=
(ii)
(iii) sy =
(iv)
n =
(v) n- 1 =
O Part (b)
O Part (c)
O Part (d)
Which distribution should you use for this problem? (Round your answers to three decimal places.)
Explain your choice.
O The Student's t-distribution should be used because the sample size is small.
O The standard normal distribution should be used because the sample standard deviation is known.
O The Student's t-distribution should be used because the sample standard deviation is given.
O The standard normal distribution should be used because the population standard deviation is known.
Correct! Although this problem gives both the population and sample standard deviation, a more accurate interval will result from using the standard normal distribution.
O Part (e)
Expert Solution
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!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill