A random sample of n, = 16 communities in western Kansas gave the following information for people under 25 years of age. x: Rate of hay fever per 1000 population for people under 25 96 92 119 127 93 123 112 93 125 95 125 117 97 122 127 88 A random sample of n, = 14 regions in western Kansas gave the following information for people over 50 years old. x3: Rate of hay fever per 1000 population for people over 50 94 109 99 96 110 88 110 79 115 100 89 114 85 96 n USE SALT (i) Use a calculator to calculate x, s, X2, and s2. (Round your answers to four decimal places.) x =| X2 = S2 = (ii) Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Hoi Hy = Hz; Hqi Hi < Hz O Hoi Hq> Hz; H: Hq = H2 O Ho: Hy = Hz; H:Hq>H2 O Ho: Hy = Hz; Hii Hy # Hz (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. What is the value of the sample test statistic? (Test the difference u, - H2. Round your answer to three decimal places.)

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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A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age.
x1: Rate of hay fever per 1000 population for people under 25
96 92 119 127 93 123 112 93
125 95 125 117 97 122 127 88
A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old.
x2: Rate of hay fever per 1000 population for people over 50
94 109 99 96 110 88 110
79 115 100 89 114 85 96

A random sample of n, = 16 communities in western Kansas gave the following information for people under 25 years of age.
x1: Rate of hay fever per 1000 population for people under 25
96 92 119
127 93 123 112 93
125 95
125
117 97
122 127 88
A random sample of n, = 14 regions in western Kansas gave the following information for people over 50 years old.
x3: Rate of hay fever per 1000 population for people over 50
94
109
99 96 110 88 110
79
115
100 89 114 85
96
In USE SALT
(i) Use a calculator to calculate x,, s1, X2, and s,. (Round your answers to four decimal places.)
S1=
X2 =
S2 =
(ii) Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use a = 0.05.
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: H1 = H2i Hz: H1 < Hz
O Ho: H1 > Hzi Hi: Hy = H2
O Ho: H1 = H2i Hz: H1 > H2
O Ho: H1 = H2i H;: H1 # Hz
(b) What sampling distribution will you use? What assumptions are you making?
O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
O The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
O The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
What is the value of the sample test statistic? (Test the difference u, - µ3. Round your answer to three decimal places.)

(c) Find (or estimate) the P-value.
O P-value > 0.250
O 0.125 < P-value < 0.250
O 0.050 < P-value < 0.125
O 0.025 < P-value < 0.050
O 0.005 < P-value < 0.025
O P-value < 0.005
Sketch the sampling distribution and show the area corresponding to the P-value.
b
a
P-value
P-value
-t
t
t
d
P-value
P-value
-t

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