A new sleeping pill is advertised to increase the daily sleeping time of insomniacs by an average of 3.0 hours, with a variance of 0.27. A government group conducts an independent study on the new pill, claiming that the actual variance, oʻ, of increase in sleeping time is higher than the advertised variance. The government group tests 20 insomniacs, chosen at random, with the new pill. The insomniacs report a mean daily sleeping increase of 2.9 hours, with a variance of 0.35. Is there enough evidence to conclude, at the 0.1 level of significance, that the government group is correct? Assume that the increase in the sleeping time provided by the new pill is normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H· Ho :0 H, :0 |(b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO |(c) Find the value of the test statistic. (Round to three or more decimal places.) O

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
100%
A new sleeping pill is advertised to increase the daily sleeping time of insomniacs by an average of 3.0 hours, with a variance of 0.27. A government group
conducts an independent study on the new pill, claiming that the actual variance, o, of increase in sleeping time is higher than the advertised variance. The
government group tests 20 insomniacs, chosen at random, with the new pill. The insomniacs report a mean daily sleeping increase of 2.9 hours, with a variance
of 0.35. Is there enough evidence to conclude, at the 0.1 level of significance, that the government group is correct? Assume that the increase in the sleeping
time provided by the new pill is normally distributed.
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H,.
p
Họ :0
H :0
(b) Determine the type of test statistic to use.
(Choose one) v
O=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we support the claim that the variance of increase in sleeping time using
the new pill is higher than the one advertised?
O Yes ONo
Transcribed Image Text:A new sleeping pill is advertised to increase the daily sleeping time of insomniacs by an average of 3.0 hours, with a variance of 0.27. A government group conducts an independent study on the new pill, claiming that the actual variance, o, of increase in sleeping time is higher than the advertised variance. The government group tests 20 insomniacs, chosen at random, with the new pill. The insomniacs report a mean daily sleeping increase of 2.9 hours, with a variance of 0.35. Is there enough evidence to conclude, at the 0.1 level of significance, that the government group is correct? Assume that the increase in the sleeping time provided by the new pill is normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p Họ :0 H :0 (b) Determine the type of test statistic to use. (Choose one) v O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the variance of increase in sleeping time using the new pill is higher than the one advertised? O Yes ONo
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman