A researcher wishes to learn if a certain drug slows the growth of tumors. She obtained mice with tumors and randomly divided them into two groups. She then injected one group of mice with the drug and used the second group as a control. After 2 weeks, she sacrificed the mice and weighed the tumors. The weight of tumors for each group of mice is below.
The researcher is interested in learning if the drug reduces the growth of tumors. Her hypothesis is: The mean weight of tumors from mice in group A will be less than the mean weight of mice in group 2.
to be continued . .

Question

A researcher wishes to learn if a certain drug slows the growth of tumors. She obtained mice with tumors and randomly divided them into two groups. She then injected one group of mice with the drug and used the second group as a control. After 2 weeks, she sacrificed the mice and weighed the tumors. The weight of tumors for each group of mice is below.
The researcher is interested in learning if the drug reduces the growth of tumors. Her hypothesis is: The mean weight of tumors from mice in group A will be less than the mean weight of mice in group 2.
	to be continued . .

anonymous · Answer

Group A
    Treated with Drug    	Group B
Control- Not Treated
	0.72	0.71
	0.68	0.83
	0.69	0.89
	0.66	0.57
	0.57	0.68
	0.66	0.74
	0.70	0.75
	0.63	0.67
	0.71	0.80
	0.73	0.78
		
A t-test can be used to test the probability that the two means do not differ. The alternative is that tumors from the group treated with the drug will not weigh less than tumors from the control group.
This is a one-tailed test because the researcher is interested in if the drug decreased tumor size. She is not interested in if the drug changed tumor size.
Solve the problem and show your solutions. Use 5% level of significance.

anonymous · Answer

Thank you in advance for those who will help :)