Practice Q3. Bags checked for a certain airline flight have a mean weight of 23 kg with a standard deviation of 7 kg. A random sample of 43 bags is drawn. What is the probability that the sample mean weight is less than 21 kg? Find the 80th percentile of the sample mean weights. (i). (ii). (iii). How many bags must be sampled so that the probability is 0.02 that the sample mean weight is less than 21 kg?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
icon
Related questions
Question
Practice Q3.
Bags checked for a certain airline flight have a mean weight of 23 kg with a
standard deviation of 7 kg. A random sample of 43 bags is drawn.
What is the probability that the sample mean weight is less than 21 kg?
Find the 80th percentile of the sample mean weights.
(i).
(ii).
(iii).
How many bags must be sampled so that the probability is 0.02 that the
sample mean weight is less than 21 kg?
(iv) Explain your assumptions if made any?
Transcribed Image Text:Practice Q3. Bags checked for a certain airline flight have a mean weight of 23 kg with a standard deviation of 7 kg. A random sample of 43 bags is drawn. What is the probability that the sample mean weight is less than 21 kg? Find the 80th percentile of the sample mean weights. (i). (ii). (iii). How many bags must be sampled so that the probability is 0.02 that the sample mean weight is less than 21 kg? (iv) Explain your assumptions if made any?
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
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,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill