Question 1173386:  Question 1: 
A sample of 10 networking sites for a specific month has a mean of 26.1 and a standard deviation of 4.2. Find the 99% confidence interval of the true mean.
 
Question 2: 
In a survey of 500 infants chosen at random, it is found that 240 are girls. Are boy and girl births equally likely according to this survey (use α = 0.05)
 
Question 9: 
Is the choice of exercise equipment dependent upon gender? Recent records from a large gym indicated the following equipment usage. At the 0.05 level of significance, is there a relationship?
 
                     Treadmill	    Elliptical 	      Bike 
Male 		       120 	   	    60		 75 
Female                100 	   	    95		 82 
 
 Answer by Boreal(15235)      (Show Source): 
You can  put this solution on YOUR website! half-interval is t (0.995, df=9)*s/sqrt(n) 
=3.25*4.2/sqrt(10) 
=4.32 
the 99% C( is (21.8, 30.4) 
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Ho: girls=0.5 
Ha: girls NE 0.5 
alpha = 0.0=p(reject Ho|Ho true} 
test stat z=(phat-p)/sqrt (p(1-p)/n) 
critical value |z|>1.96 
z=0.02/sqrt(0.25/500) 
=0.89 
fail to reject Ho. Insufficient evidence to reject the null hypothesis. 
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The expected value are 
105.45--74.3--75.25 
114.55--80.7--81.75 
Chi-Square is 9.14 which has a p-value of 0.01, and the evidence suggests a relationship, not independence. 
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