A new sleeping pill is advertised to increase the daily

Last updated: 5/13/2023

A new sleeping pill is advertised to increase the daily sleeping time of insomniacs by an average of 2 9 hours with a standard deviation of 0 50 A government group conducts an independent study on the new pill to see if the standard deviation o of increase in sleeping time is higher than the advertised standard deviation The government group tests 10 insomniacs chosen at random with the new pill The insomniacs in the sample report a mean daily sleeping increase of 3 hours with a standard deviation of 0 65 Is there enough evidence at the 0 05 level of significance to support the claim that the standard deviation 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 Ho and the alternative hypothesis H Ho H 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 0 e Can we support the claim that the standard deviation of increase in sleeping time using the new pill is higher than the one advertised OYes No H XI 0 0 X O S Jn OSO 0 P Q 00 020 0