SOLUTION: It is recommended that an adult get 8 hours of sleep every night. To test whether mothers of newborn babies get enough sleep, the national sleep foundation conducted a random surve

Question 1140862: It is recommended that an adult get 8 hours of sleep every night. To test whether mothers of newborn babies get enough sleep, the national sleep foundation conducted a random survey of 151 mothers of newborn babies and found that their mean sleep time was 7.8 hours with a standard deviation of 1.4 hours. Does the evidence suggest that mothers of newborn babies get less than the recommended hours of sleep? conduct a hypothesis test at a=0.05 to test the claim. Show all 4steps of hypothesis test clearly.
Thanks!
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho:mothers get >=8 hours
Ha: they get fewer than 8 hours
alpha=0.05 P{reject Ho|Ho true}
test statistic t df=150 0.975
critical value is t< -1.98
t=(7.8-8)/1.4/sqrt(151)
=-0.2*sqrt(151)/1.4
=-1.76
Fail to reject Ho. Insufficient evidence to sate they get less than the recommended hours of sleep.
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