A new sleeping pill is advertised to increase the daily sleeping time of insomniacs by an average of 2.9 hours, with a variance of 0.23. A government group conducts an independent study on the new pill to see if the variance, o², of increase in sleeping time is higher than the advertised variance. The government group tests 17 insomniacs, chosen at random, with the new pill. The insomniacs in the sample report a mean daily sleeping increase of 2.8 hours, with a variance of 0.51. Is there enough evidence, at the 0.01 level of significance, to support the claim that the variance of increase in sleeping time is higher than the one advertised? Assume that the increases in sleeping times provided by the new pill are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis and the alternative hypothesis H₁. Ho :O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical 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? OYes O No H X D O*00<0 X P 020 050 0-0 0
A new sleeping pill is advertised to increase the daily sleeping time of insomniacs by an average of 2.9 hours, with a variance of 0.23. A government group conducts an independent study on the new pill to see if the variance, o², of increase in sleeping time is higher than the advertised variance. The government group tests 17 insomniacs, chosen at random, with the new pill. The insomniacs in the sample report a mean daily sleeping increase of 2.8 hours, with a variance of 0.51. Is there enough evidence, at the 0.01 level of significance, to support the claim that the variance of increase in sleeping time is higher than the one advertised? Assume that the increases in sleeping times provided by the new pill are approximately normally distributed. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis and the alternative hypothesis H₁. Ho :O H₁ :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical 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? OYes O No H X D O*00<0 X P 020 050 0-0 0
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A new sleeping pill is advertised to increase the daily sleeping time of insomniacs by an average of 2.9 hours, with a variance of 0.23. A government group
conducts an independent study on the new pill to see if the variance, o², of increase in sleeping time is higher than the advertised variance. The government
group tests 17 insomniacs, chosen at random, with the new pill. The insomniacs in the sample report a mean daily sleeping increase of 2.8 hours, with a
variance of 0.51. Is there enough evidence, at the 0.01 level of significance, to support the claim that the variance of increase in sleeping time is higher than the
one advertised? Assume that the increases in sleeping times provided by the new pill are approximately normally distributed.
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis and the alternative hypothesis H1₁.
Ho :O
H₂:0
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0
(d) Find the critical value. (Round to three or more decimal places.)
0
(e) Can we support the claim that the variance of increase in sleeping time using
the new pill is higher than the one advertised?
OYes O No
H
X
a
0#0 O<O
X
Р
0=0 OSO 020
<Q
00
Ś
O<O
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