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The following are the systolic blood pressures (mm Hg) of 12 patients


undergoing drug therapy for


hypertension:


183, 152, 178, 157, 194, 163, 144, 114, 178, 152, 118, 158


Can we conclude on the basis of these data that the population m

A survey of 100 similar-sized hospitals revealed a mean daily census in


the pediatrics service of 27


with a standard deviation of 6.5. Do these data provide sufficient evidence to


indicate that the


1. population mean is greater than 25? Let alpha = 0.5

We wish to know if we can conclude that the mean daily caloric intake in


the adult rural population of


a developing country is less than 2000. A sample of 500 had a mean of 1985


and a standard deviation


of 210. Let alpha = 0.5

A sample of 25 freshman nursing students made a mean score of 77 on a


test designed to measure


attitude toward the dying patient. The sample standard deviation was 10. Do


these data provide


sufficient evidence to indicate, at the .05 level of significance, that the


population mean is less than


80? What assumptions are necessary?

Nine laboratory animals were infected with a certain bacterium and then


immunosuppressed. The


mean number of organisms later recovered from tissue specimens was 6.5


(coded data) with a


standard deviation of .6. Can one conclude from these data that the


population mean is greater than 6?


Let alpha = 0.5What assumptions are necessary?

In a sample of 49 adolescents who served as the subjects in an


immunologic study, one variable of


interest was the diameter of skin test reaction to an antigen. The sample mean


and standard deviation


were 21 and 11mm erythema, respectively. Can it be concluded from these


data that the population


mean is less than 30? Let alpha = 0.5

The purpose of a study by Lugli_e et al. (A-5) was to investigate the oral



status of a group of patients



diagnosed with thalassemia major (TM). One of the outcome measures was



the decayed, missing, and



filled teeth index (DMFT). In a sample of 18 patients the mean DMFT index



value was 10.3 with a



standard deviation of 7.3. Is this sufficient evidence to allow us to conclude



that the mean DMFT



index is greater than 9.0 in a population of similar subjects? Let alpha = 0.1

The table below gives the scores of Students on a English Examinations


under KCSE


Student


1


2


3


4


5


6


7


8


9


Oral test


B-


B+


B


A-


A


B


C+


B


C-


Composition


10


21


22


19


17


14


13


16


12


Literature


34


76


74


60


68


44


45


53


43


(Composition test is out of 30 and literature test is out of 100 marks)


(a) Calculate the value of the most appropriate measure of correlation between the results


in the oral and composition tests, justifying your choice of measure. Interpret the value you


obtain.


(b) Calculate the value of the most appropriate measure of correlation between the results in


the composition and literature tests, justifying your choice of measure. Interpret the value


you obtain.



Show that Σ from n=1 to ♾️ for (-1)^n+1 ×5/7n+2 is conditionally Convergent

Test the following series for convergence


Σ from n=1to ♾️ for [√n⁴+9 - √n⁴-9]

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