Question 1 Phil has always been an avid coffee drinker. However, a few years ago his close friend pointed out to him that maybe he drinks too much coffee. Concerned that his friend might be right, Phil decided to collect some data on his coffee drinking habits. Over a random selection of 500 days, for each day Phil recorded how many coffees he had on that day and the day of the week (i.e., Monday, Tuesday, etc.). The data are summarised in the table of counts below. Mon 0 13 Number 1 21 of 2 26 Coffees 3 11 4 9 A. B. D. Tue 9 11 23 6 11 Considering only Tuesdays, Wednesdays and Thursdays, calculate a 79.6% confidence interval for the true proportion of days on which Phil has less than 3 coffees. Test whether the true proportion of Mondays on which Phil has more than 2 coffees is less than the true proportion of Fridays on which Phil has less than 2 coffees. Clearly state your hypotheses and use a significance level of a = : 0.6%. C. On Wednesdays, Phil thinks that he is four times as likely to have less than 2 coffees than to have exactly 2 coffees and that he is three times as likely to have more than 2 coffees than to have exactly 2 coffees. Test Phil's claim. Clearly state your hypotheses and use a significance level of a = 10%. On weekends (Saturdays and Sundays), Phil believes that the number of coffees he has and the day are independent. Test Phil's claim. Clearly state your hypotheses and use a significance level of a 5%. = Day of the Week Wed Thu Fri Sat Sun 13 18 16 11 13 19 16 15 10 17 23 12 19 13 20 10 14 14 15 9 17 7 15 10 14
Question 1 Phil has always been an avid coffee drinker. However, a few years ago his close friend pointed out to him that maybe he drinks too much coffee. Concerned that his friend might be right, Phil decided to collect some data on his coffee drinking habits. Over a random selection of 500 days, for each day Phil recorded how many coffees he had on that day and the day of the week (i.e., Monday, Tuesday, etc.). The data are summarised in the table of counts below. Mon 0 13 Number 1 21 of 2 26 Coffees 3 11 4 9 A. B. D. Tue 9 11 23 6 11 Considering only Tuesdays, Wednesdays and Thursdays, calculate a 79.6% confidence interval for the true proportion of days on which Phil has less than 3 coffees. Test whether the true proportion of Mondays on which Phil has more than 2 coffees is less than the true proportion of Fridays on which Phil has less than 2 coffees. Clearly state your hypotheses and use a significance level of a = : 0.6%. C. On Wednesdays, Phil thinks that he is four times as likely to have less than 2 coffees than to have exactly 2 coffees and that he is three times as likely to have more than 2 coffees than to have exactly 2 coffees. Test Phil's claim. Clearly state your hypotheses and use a significance level of a = 10%. On weekends (Saturdays and Sundays), Phil believes that the number of coffees he has and the day are independent. Test Phil's claim. Clearly state your hypotheses and use a significance level of a 5%. = Day of the Week Wed Thu Fri Sat Sun 13 18 16 11 13 19 16 15 10 17 23 12 19 13 20 10 14 14 15 9 17 7 15 10 14
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Question 1
Phil has always been an avid coffee drinker. However, a few years ago his
close friend pointed out to him that maybe he drinks too much coffee.
Concerned that his friend might be right, Phil decided to collect some
data on his coffee drinking habits. Over a random selection of 500 days,
for each day Phil recorded how many coffees he had on that day and the
day of the week (i.e., Monday, Tuesday, etc.). The data are summarised in
the table of counts below.
Mon
0
13
Number 1 21
of
2 26
Coffees 3
11
4
9
A.
Considering only Tuesdays, Wednesdays and Thursdays,
calculate a 79.6% confidence interval for the true proportion of
days on which Phil has less than 3 coffees.
Test whether the true proportion of Mondays on which
Phil has more than 2 coffees is less than the true proportion of
Fridays on which Phil has less than 2 coffees. Clearly state your
hypotheses and use a significance level of a = 0.6%.
C.
On Wednesdays, Phil thinks that he is four times as likely
to have less than 2 coffees than to have exactly 2 coffees and that
he is three times as likely to have more than 2 coffees than to have
exactly 2 coffees. Test Phil's claim. Clearly state your hypotheses
and use a significance level of a = 10%.
On weekends (Saturdays and Sundays), Phil believes that
the number of coffees he has and the day are independent. Test
Phil's claim. Clearly state your hypotheses and use a significance
level of a =
5%.
B.
Day of the Week
Tue
Wed Thu Fri Sat Sun
9
9
13 18 16 11
11 17
13
19
16
15
23
7
15
10
17
23
6
10
12 19 13
20
11 14
10 14 14 15
D.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Write the given information.
VIEWStep 2: Determine the x, n and sample proportions for the given data.
VIEWStep 3: Determine the critical value and 79.6% confidence interval for true proportion.
VIEWStep 4: State the hypothesis and determine the sample proportions for part B).
VIEWStep 5: Determine the z-score and P-value for the hypothesis test.
VIEWStep 6: State the hypothesis and determine the expected values as per Phil comment.
VIEWStep 7: Determine the chi-square statistic, degree of freedom and P-value.
VIEWStep 8: State the hypothesis and determine the expected values.
VIEWStep 9: Determine the chi square test statistics and P-value.
VIEWSolution
VIEW
Step by step
Solved in 10 steps with 22 images
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman