Answered: In the following study the city of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In the following study the city of Saskatoon was interested in knowing the number ofhours per month that families in two areas of the city made use of a recreational facility. Itwas also interested to know if there was a difference between the two areas. A sample ofsize n = 45 families were selected from Area 1 resulting in a mean (hours used per familyper month) of 15.6 and a standard deviation of 4.5.A second sample of size m = 50 families were selected from Area 2 resulting in a mean(hours used per family per month) of 20.7 and a standard deviation of 3.7.

Suppose that one is interested in determining if there is a difference in the mean number of hours per month that the recreational facility is used between families in Area 1 and families in Area 2

question parts are given in pics and I have asked only three subparts.

7. Determine the appropriate test statistic:
p- Po
P.(1- Po)
x- y
a) z =
b) z =
+
m
p- Po
c) z =
d)
z =
P(1 – p)
+
n2
e) t = Vn
f)
z =
(*rl – x)
1
1
P(1 – p)
n2

8. Determine the value of the test statistic
d) -1.72
i) -3.05
e) -0.89
j) -2.90
a) -10.30
b) -0.14
-5.88
c)
h) -2.15
f) -1.11
g) -0.45
9. If the significance level of the test is a=0.05 determine the appropriate critical
region
a) z> 2.132
e) z> 2.567
i) z> -2.132
b) z< 1.645
f) z< -2.567
j) z<-1.645
c) z<-1.960 or z > 1.960
g) z<- 2.110 or z > 2.110
d) z<-2.110 or z2 2.110
h) z< -2.898or z> 2.898

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