The researcher independently samples 30 adults and 20 childr

The researcher independently samples 30 adults and 20 children. For the adults, the sample mean is 50 hours with a sample standard deviation of 10 hours. For the children, the sample mean was 42 hours with a sample standard deviation of 12 hours. The researcher testing whether there is a difference between adults and children. For the above data the t value is 2.46 and the P-value is .0186. What should you conclude at a significance level of .05?

More testing needs to be done to reach a conclusion.

There is not statistically significant evidence to believe that there is a difference.

There is statistically significant evidence to believe that there is a difference.

Solution

P-Value: Two Tailed ( double the one tail ) - Ha : ( P != 2.46 ) = 0.0186
Hence Value of P0.05 > 0.0186,Here We Reject Ho

C.   

There is statistically significant evidence to believe that there is a difference