(b) A new fitness programme is devised for people who would like to lose weight. Each participants' weight in kg was measured before and after the fitness program to see if it is effective in reducing their weights. The following data were obtained. Participant #1 #2 #3 #4 #5 #6 #7 #8 74 55 Before 86 65 93 52 66 67 After 81 62 71 49 83 51 61 63 i. Carry out an appropriate hypothesis test to determine whether the fitness programme is effective in reducing weight. State the test hypotheses, and specify your test statistic and its distribution under the null hypothesis. Comment on your findings. ii. State any assumptions you made in (i.). iii. State an alternative hypothesis test to determine whether the fitness pro- gramme is effective in reducing weight. Justify why you did not use this hypothesis test in part 4i. iv. Give a 95% confidence interval for the difference in means. v. On the basis of the data alone, would you consider trying this fitness programme if you wanted to lose weight? Provide an explanation with your answer.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
icon
Related questions
Question

Continued from https://www.bartleby.com/questions-and-answers/statistics-question/738ceafd-758b-46ae-8f0f-1c75653c54e2, please help on part iv and v. Thank you!

(b) A new fitness programme is devised for people who would like to lose weight.
Each participants' weight in kg was measured before and after the fitness
program to see if it is effective in reducing their weights. The following data
were obtained.
Participant #1 #2 #3 #4 #5 #6 #7 #8
74
55
Before
86
65
93
52
66
67
After
81
62
71
49
83
51
61
63
i. Carry out an appropriate hypothesis test to determine whether the fitness
programme is effective in reducing weight. State the test hypotheses, and
specify your test statistic and its distribution under the null hypothesis.
Comment on your findings.
ii. State any assumptions you made in (i.).
iii. State an alternative hypothesis test to determine whether the fitness pro-
gramme is effective in reducing weight. Justify why you did not use this
hypothesis test in part 4i.
iv. Give a 95% confidence interval for the difference in means.
v. On the basis of the data alone, would you consider trying this fitness
programme if you wanted to lose weight? Provide an explanation with
your answer.
Transcribed Image Text:(b) A new fitness programme is devised for people who would like to lose weight. Each participants' weight in kg was measured before and after the fitness program to see if it is effective in reducing their weights. The following data were obtained. Participant #1 #2 #3 #4 #5 #6 #7 #8 74 55 Before 86 65 93 52 66 67 After 81 62 71 49 83 51 61 63 i. Carry out an appropriate hypothesis test to determine whether the fitness programme is effective in reducing weight. State the test hypotheses, and specify your test statistic and its distribution under the null hypothesis. Comment on your findings. ii. State any assumptions you made in (i.). iii. State an alternative hypothesis test to determine whether the fitness pro- gramme is effective in reducing weight. Justify why you did not use this hypothesis test in part 4i. iv. Give a 95% confidence interval for the difference in means. v. On the basis of the data alone, would you consider trying this fitness programme if you wanted to lose weight? Provide an explanation with your answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Factorization
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
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill