1. A researcher claimed that, even at the age of 12 months, girls prefer to play with dolls rather than with trucks. The researcher used a sample of 25 girls at the age of 12 months. All girls were presented with a doll and a toy truck for 60 seconds, and the researcher measured how much time each girl spent interacting with the doll. For this example, assume that when the girls weren't interacting with the doll they were interacting with the truck, and that, during those 60 seconds, they weren't distracted and did not do anything else. The researcher found that the mean time of interacting with the doll was M=32 seconds, and the Sum of Squares was SS=5400. (All the data on this example were made up by me). a. What is the sample's variance? b. What is the sample's standard deviation? c. Compute a hypothesis test (for a twotailed hypothesis, (1:0.05) based on these data. On Backboard, you will be asked: (i) What is the mean based on the null hypothesis? (ii) What are the degrees of freedom? (iii) What is the critical value? (iv) What is the estimated standard error? (v) What is the calculated t statistic? (vi) Did you reject the null hypothesis? (Yes/No) d. What is the effect size? e. Construct a 95% Cl on the data from the sample. On Blackboard you will be asked what is the lower boundary of the interval, and then what is the upper boundary of the interval