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(Solved by Expert Tutors) MATH 14 - Assignment 3 (3.33% of final mark, 20 points possi


Due Date: Tuesday, April 25, 2017 3:30 PM


1.????In testing a method of gender selection, 15 randomly selected couples are treated with the method, they each have a baby, and 13 of the babies are boys.?Use a 0.05 significance level to test the claim that with this method, the probability of a baby being a boy is greater than 0.65 using critical values, p-values, and the appropriate confidence interval. (10 marks)


2.????The Medassist Pharmaceutical Company wants to test Dozenol, a now cold medicine intended for night use.?Tests for such products often include a treatment group of people who use the drug and a control group of people who do not use the drug.?50 people with coldsare given Dozenol, and 100 others are not.?The systolic blood pressure is measured for each subject and the results were as given below.?Test the claim, with 0.01 level of significance, that the population mean of the blood pressures for those who were given Dozenol is different than the population mean of the blood pressures for those who were not given Dozenol.?Test using critical values and the appropriate confidence interval. (10 marks)


Treatment GroupControl Group

Sample Sizen_1=30n_2=72

Sample Meanx ?_1=203.4x ?_2=189.4

Sample Standard Deviations_1=39.4s_2=39.0


MATH 14 ? Extra Credit for Tests?

(adds up to 10% to lowest test score to a limit of 100%, show all work for full credit)

Due Date: Friday, April 21, 2017 5:30 PM


Suppose that we have only 10 temperatures (in ?) of people undergoing surgery as follows:

36.436.336.736.336.836.636.136.235.636.6

A prior study has shown that body temperatures are normally distributed.

What is the probability of having a patient with body temperature above 35.00 ? if we knew that the population mean body temperature was ?=36.00 ?,?=0.72. (4.5 marks)


Assuming we do not know ? or ? and only have the 10 temperatures above, find the 95% confidence interval for the mean of all body temperatures of people undergoing surgery. (4.5 marks)


Is it likely that ?=36.00 ? ? (1 mark)

 


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