A random sample of 12 second-year university students enrolled in Probability and Statistics course was drawn. At the course's completion, each student was asked how many hours s/he spent doing homevwork in statistics. The data are listed below. 39 44 45 41 42 41 45 45 38 47 44 50 It is known that the population standard deviation is o = 6. The instructor has recommended that students devote 4 hours per week for the duration of the 12-week semester, for a total of 48 hours. Test to determine whether there evidence at the a = 0.01 significance level that the average student spent less than the recommended amount of time. Part A Calculate the sample mean: I= 40 Calculate the value of the standardized test statistic: z = Part B Write the critical z-value (by using spreadsheet or look-up tables): Za = Express the rejection region for the standardized test statistic Your answer should use interval notation. An answer of the form (-00, a) is expressed (-infty, a), an answer of the form (b, o0) is expressed (b, infty), and an answer of the form (-00, a) U (b, o0) is expressed (-infty, a)U(b, infty). Part C Calculate the p-value: P = Part D Choose your decision for the hypothesis test: OA. Do not reject Hn. OB. Reject H. OC. Reject Ho. OD. Do not reject H1
A random sample of 12 second-year university students enrolled in Probability and Statistics course was drawn. At the course's completion, each student was asked how many hours s/he spent doing homevwork in statistics. The data are listed below. 39 44 45 41 42 41 45 45 38 47 44 50 It is known that the population standard deviation is o = 6. The instructor has recommended that students devote 4 hours per week for the duration of the 12-week semester, for a total of 48 hours. Test to determine whether there evidence at the a = 0.01 significance level that the average student spent less than the recommended amount of time. Part A Calculate the sample mean: I= 40 Calculate the value of the standardized test statistic: z = Part B Write the critical z-value (by using spreadsheet or look-up tables): Za = Express the rejection region for the standardized test statistic Your answer should use interval notation. An answer of the form (-00, a) is expressed (-infty, a), an answer of the form (b, o0) is expressed (b, infty), and an answer of the form (-00, a) U (b, o0) is expressed (-infty, a)U(b, infty). Part C Calculate the p-value: P = Part D Choose your decision for the hypothesis test: OA. Do not reject Hn. OB. Reject H. OC. Reject Ho. OD. Do not reject H1
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Topic Video
Question
Transcribed Image Text:A random sample of 12 second-year university students enrolled in Probability and Statistics course was drawn. At the course's completion, each student was asked how many hours s/he spent doing homevwork in statistics. The
data are listed below.
39 44 45 41 42 41 45 45 38 47
44 50
It is known that the population standard deviation is o = 6. The instructor has recommended that students devote 4 hours per week for the duration of the 12-week semester, for a total of 48 hours.
Test to determine whether there
evidence at the a = 0.01 significance level that the average student spent less than the recommended amount of time.
Part A
Calculate the sample mean:
I= 40
Calculate the value of the standardized test statistic:
Part B
Write the critical z-value (by using spreadsheet or look-up tables):
Za =
Express the rejection region for the standardized test statistic
Your answer should use interval notation. An answer of the form (-00, a) is expressed (-infty, a), an answer of the form (b, o0) is expressed (b, infty), and an answer of the form (-00, a) U (b, o0) is expressed (-infty,
a)U(b, infty).
Part C
Calculate the p-value:
P =
Part D
Choose your decision for the hypothesis test:
OA. Do not reject Hn.
OB. Reject H.
OC. Reject Ho.
OD. Do not reject H1
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 3 steps with 3 images
Knowledge Booster
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
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON