Please answer all of the following questions. Name: HOMEWORK 6 z-tes test and th
ID: 3339794 • Letter: P
Question
Please answer all of the following questions.
Name: HOMEWORK 6 z-tes test and the three forms of the T-test 1. physiologist believes he has discovered a new steroid hormone that ood glucose in mammals. In an experiment he injects laboratory rats wit, a small a the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose (35,36,37,33,34,35,33,35,37,36,34,35). From previous studies of thousands of normal, un-manipulated rats he knows that the mean () bloo mount of this steroid hormone and, after a suitable waiting period measures glucose level in this species of rat (his laboratory population) is 31 and that the standard deviation (2) is 4.12. Evaluate the hypothesis that this new ster blood glucose levels. Use an -level of 0.05 for this analysis oid hormone decreases a. (2 pts) What is the appropriate test? b. (1 pt) State the null hypothesis c. (1 pt) State the alternative hypothesis: d. (2 pts) Find the critical value: e. (3 pts) Calculate the obtained statistic: f. (2 pts) Make a decision:. g. (1 pt) What does your decision mean? ane that canExplanation / Answer
given that mean = 31 and sd = 4.12
the average of 12 obervations is
35
is 35
H0 : The new steriod hormone does not decrease blood glucose levels
H1 : The new steriod hormone decreases blood glucose levels
the appropriat test is t test
The critical value is calculated as
df = n-1 = 12-1 = 11 and alpha = 0.05 and 1 tail test
from the t table we see the value is 1.79
the stat is
t = (xbar-mean)/sd
= (35-31)/4.12 = 0.9708
as the t stat os less than t critical hence we fail to reject the null hypothesis and conclude that The new steriod hormone does not decrease blood glucose levels
35 36 37 33 34 35 33 35 37 36 3435
is 35
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