Question 3A child psychologist observed 8-year-old children behind a one-way mirror to determine how long they would play with a toy medical kit. The company that designed the toy was attempting to determine whether to give the kit a masculine or feminine orientation. The length of time (in minutes) the children played with the kits are shown below. Calculate the value of t and recommend to management whether the kit should have a male or female orientation.SexTime played with toy medical kitBoys3112413463767672573364115Girls263820321645991626812053(a): Please identify the research question (one sentence) and generate the appropriate hypothesis (10 points). Here are some examples of the research question: How/why A is related to B? Does A cause/equal/bigger/smaller/explain than B?Whether A is equal/bigger/smaller than B?

3(b): Find the appropriate statistical test, compute the test statistics and draw your conclusions. (30 points)

3(b) The appropriate statistical test is Two sample t-test.BOYSGIRLS312612384120343263167456796792516732636814120155´X=¿39.3846226.38462SD=22.2281320.11442SXB−G=√SB2NB+SG2NG