4. From the experiment described in problem 3, the researcher has the following results.: From the 50 mice who received the non-steroid treatment, their mean skin irritation rating was 26.4 and their standard deviation was From the 50 mice who received the steroid treatment, their mean skin irritation rating was 21.6 and their stand deviation was 4.4. a. Construct a 90% confidence interval for the difference of means between the mice that did not receive the steroids and the mice that did receive the steroids. Show all organized work as done in the videos and box your answer. Explain how you get the t-score for 90% CI. b. Interpret the confidence interval in context of the problem. c. Can we conclude that there is an improvement in the mice that had the steroid cream, compared to those th not? Clearly answer "yes" or "no" and then explain your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
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2:24 PM Thu Dec 15
T
OH
b. Interpret the confidence interval in context of the problem.
4%
+:
4. From the experiment described in problem 3, the researcher has the following results.: From the 50 mice who
received the non-steroid treatment, their mean skin irritation rating was 26.4 and their standard deviation was 5.1.
From the 50 mice who received the steroid treatment, their mean skin irritation rating was 21.6 and their standard
deviation was 4.4.
a. Construct a 90% confidence interval for the difference of means between the mice that did not receive the
steroids and the mice that did receive the steroids. Show all organized work as done in the videos and box your final
answer. Explain how you get the t-score for 90% CI.
c. Can we conclude that there is an improvement in the mice that had the steroid cream, compared to those that did
not? Clearly answer "yes" or "no" and then explain your answer.
d. If there is an improvement, can we conclude that the steroid cream "caused" the skin to improve? Explain your
answer. (can we conclude a cause and effect?)
e. Were the criteria/conditions met to be sure that we can apply the Central Limit Theorem to this problem?
Clearly answer "yes" or "no", and explain your answer.
Transcribed Image Text:2:24 PM Thu Dec 15 T OH b. Interpret the confidence interval in context of the problem. 4% +: 4. From the experiment described in problem 3, the researcher has the following results.: From the 50 mice who received the non-steroid treatment, their mean skin irritation rating was 26.4 and their standard deviation was 5.1. From the 50 mice who received the steroid treatment, their mean skin irritation rating was 21.6 and their standard deviation was 4.4. a. Construct a 90% confidence interval for the difference of means between the mice that did not receive the steroids and the mice that did receive the steroids. Show all organized work as done in the videos and box your final answer. Explain how you get the t-score for 90% CI. c. Can we conclude that there is an improvement in the mice that had the steroid cream, compared to those that did not? Clearly answer "yes" or "no" and then explain your answer. d. If there is an improvement, can we conclude that the steroid cream "caused" the skin to improve? Explain your answer. (can we conclude a cause and effect?) e. Were the criteria/conditions met to be sure that we can apply the Central Limit Theorem to this problem? Clearly answer "yes" or "no", and explain your answer.
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